Why Every Educator Needs to Teach Problem-Solving Skills

Strong problem-solving skills will help students be more resilient and will increase their academic and career success .

Want to learn more about how to measure and teach students’ higher-order skills, including problem solving, critical thinking, and written communication?

Problem-solving skills are essential in school, careers, and life.

Problem-solving skills are important for every student to master. They help individuals navigate everyday life and find solutions to complex issues and challenges. These skills are especially valuable in the workplace, where employees are often required to solve problems and make decisions quickly and effectively.

Problem-solving skills are also needed for students’ personal growth and development because they help individuals overcome obstacles and achieve their goals. By developing strong problem-solving skills, students can improve their overall quality of life and become more successful in their personal and professional endeavors.

benefits of teaching problem solving

Problem-Solving Skills Help Students…

   develop resilience.

Problem-solving skills are an integral part of resilience and the ability to persevere through challenges and adversity. To effectively work through and solve a problem, students must be able to think critically and creatively. Critical and creative thinking help students approach a problem objectively, analyze its components, and determine different ways to go about finding a solution.  

This process in turn helps students build self-efficacy . When students are able to analyze and solve a problem, this increases their confidence, and they begin to realize the power they have to advocate for themselves and make meaningful change.

When students gain confidence in their ability to work through problems and attain their goals, they also begin to build a growth mindset . According to leading resilience researcher, Carol Dweck, “in a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment.”

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    Set and Achieve Goals

Students who possess strong problem-solving skills are better equipped to set and achieve their goals. By learning how to identify problems, think critically, and develop solutions, students can become more self-sufficient and confident in their ability to achieve their goals. Additionally, problem-solving skills are used in virtually all fields, disciplines, and career paths, which makes them important for everyone. Building strong problem-solving skills will help students enhance their academic and career performance and become more competitive as they begin to seek full-time employment after graduation or pursue additional education and training.

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  Resolve Conflicts

In addition to increased social and emotional skills like self-efficacy and goal-setting, problem-solving skills teach students how to cooperate with others and work through disagreements and conflicts. Problem-solving promotes “thinking outside the box” and approaching a conflict by searching for different solutions. This is a very different (and more effective!) method than a more stagnant approach that focuses on placing blame or getting stuck on elements of a situation that can’t be changed.

While it’s natural to get frustrated or feel stuck when working through a conflict, students with strong problem-solving skills will be able to work through these obstacles, think more rationally, and address the situation with a more solution-oriented approach. These skills will be valuable for students in school, their careers, and throughout their lives.

Perspectives

    Achieve Success

We are all faced with problems every day. Problems arise in our personal lives, in school and in our jobs, and in our interactions with others. Employers especially are looking for candidates with strong problem-solving skills. In today’s job market, most jobs require the ability to analyze and effectively resolve complex issues. Students with strong problem-solving skills will stand out from other applicants and will have a more desirable skill set.

In a recent opinion piece published by The Hechinger Report , Virgel Hammonds, Chief Learning Officer at KnowledgeWorks, stated “Our world presents increasingly complex challenges. Education must adapt so that it nurtures problem solvers and critical thinkers.” Yet, the “traditional K–12 education system leaves little room for students to engage in real-world problem-solving scenarios.” This is the reason that a growing number of K–12 school districts and higher education institutions are transforming their instructional approach to personalized and competency-based learning, which encourage students to make decisions, problem solve and think critically as they take ownership of and direct their educational journey.

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Problem-Solving Skills Can Be Measured and Taught

Research shows that problem-solving skills can be measured and taught. One effective method is through performance-based assessments which require students to demonstrate or apply their knowledge and higher-order skills to create a response or product or do a task.

What Are Performance-Based Assessments?

benefits of teaching problem solving

With the No Child Left Behind Act (2002), the use of standardized testing became the primary way to measure student learning in the U.S. The legislative requirements of this act shifted the emphasis to standardized testing, and this led to a  decline in nontraditional testing methods .

But   many educators, policy makers, and parents have concerns with standardized tests. Some of the top issues include that they don’t provide feedback on how students can perform better, they don’t value creativity, they are not representative of diverse populations, and they can be disadvantageous to lower-income students.

While standardized tests are still the norm, U.S. Secretary of Education Miguel Cardona is encouraging states and districts to move away from traditional multiple choice and short response tests and instead use performance-based assessment, competency-based assessments, and other more authentic methods of measuring students abilities and skills rather than rote learning. 

Performance-based assessments  measure whether students can apply the skills and knowledge learned from a unit of study. Typically, a performance task challenges students to use their higher-order skills to complete a project or process. Tasks can range from an essay to a complex proposal or design.

Preview a Performance-Based Assessment

Want a closer look at how performance-based assessments work?  Preview CAE’s K–12 and Higher Education assessments and see how CAE’s tools help students develop critical thinking, problem-solving, and written communication skills.

Performance-Based Assessments Help Students Build and Practice Problem-Solving Skills

In addition to effectively measuring students’ higher-order skills, including their problem-solving skills, performance-based assessments can help students practice and build these skills. Through the assessment process, students are given opportunities to practically apply their knowledge in real-world situations. By demonstrating their understanding of a topic, students are required to put what they’ve learned into practice through activities such as presentations, experiments, and simulations. 

This type of problem-solving assessment tool requires students to analyze information and choose how to approach the presented problems. This process enhances their critical thinking skills and creativity, as well as their problem-solving skills. Unlike traditional assessments based on memorization or reciting facts, performance-based assessments focus on the students’ decisions and solutions, and through these tasks students learn to bridge the gap between theory and practice.

Performance-based assessments like CAE’s College and Career Readiness Assessment (CRA+) and Collegiate Learning Assessment (CLA+) provide students with in-depth reports that show them which higher-order skills they are strongest in and which they should continue to develop. This feedback helps students and their teachers plan instruction and supports to deepen their learning and improve their mastery of critical skills.

benefits of teaching problem solving

Explore CAE’s Problem-Solving Assessments

CAE offers performance-based assessments that measure student proficiency in higher-order skills including problem solving, critical thinking, and written communication.

  • College and Career Readiness Assessment (CCRA+) for secondary education and
  • Collegiate Learning Assessment (CLA+) for higher education.

Our solution also includes instructional materials, practice models, and professional development.

We can help you create a program to build students’ problem-solving skills that includes:

  • Measuring students’ problem-solving skills through a performance-based assessment    
  • Using the problem-solving assessment data to inform instruction and tailor interventions
  • Teaching students problem-solving skills and providing practice opportunities in real-life scenarios
  • Supporting educators with quality professional development

Get started with our problem-solving assessment tools to measure and build students’ problem-solving skills today! These skills will be invaluable to students now and in the future.

benefits of teaching problem solving

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Learn more about cae’s suite of products and let’s get started measuring and teaching students important higher-order skills like problem solving..

Teaching problem solving: Let students get ‘stuck’ and ‘unstuck’

Subscribe to the center for universal education bulletin, kate mills and km kate mills literacy interventionist - red bank primary school helyn kim helyn kim former brookings expert.

October 31, 2017

This is the second in a six-part  blog series  on  teaching 21st century skills , including  problem solving ,  metacognition , critical thinking , and collaboration , in classrooms.

In the real world, students encounter problems that are complex, not well defined, and lack a clear solution and approach. They need to be able to identify and apply different strategies to solve these problems. However, problem solving skills do not necessarily develop naturally; they need to be explicitly taught in a way that can be transferred across multiple settings and contexts.

Here’s what Kate Mills, who taught 4 th grade for 10 years at Knollwood School in New Jersey and is now a Literacy Interventionist at Red Bank Primary School, has to say about creating a classroom culture of problem solvers:

Helping my students grow to be people who will be successful outside of the classroom is equally as important as teaching the curriculum. From the first day of school, I intentionally choose language and activities that help to create a classroom culture of problem solvers. I want to produce students who are able to think about achieving a particular goal and manage their mental processes . This is known as metacognition , and research shows that metacognitive skills help students become better problem solvers.

I begin by “normalizing trouble” in the classroom. Peter H. Johnston teaches the importance of normalizing struggle , of naming it, acknowledging it, and calling it what it is: a sign that we’re growing. The goal is for the students to accept challenge and failure as a chance to grow and do better.

I look for every chance to share problems and highlight how the students— not the teachers— worked through those problems. There is, of course, coaching along the way. For example, a science class that is arguing over whose turn it is to build a vehicle will most likely need a teacher to help them find a way to the balance the work in an equitable way. Afterwards, I make it a point to turn it back to the class and say, “Do you see how you …” By naming what it is they did to solve the problem , students can be more independent and productive as they apply and adapt their thinking when engaging in future complex tasks.

After a few weeks, most of the class understands that the teachers aren’t there to solve problems for the students, but to support them in solving the problems themselves. With that important part of our classroom culture established, we can move to focusing on the strategies that students might need.

Here’s one way I do this in the classroom:

I show the broken escalator video to the class. Since my students are fourth graders, they think it’s hilarious and immediately start exclaiming, “Just get off! Walk!”

When the video is over, I say, “Many of us, probably all of us, are like the man in the video yelling for help when we get stuck. When we get stuck, we stop and immediately say ‘Help!’ instead of embracing the challenge and trying new ways to work through it.” I often introduce this lesson during math class, but it can apply to any area of our lives, and I can refer to the experience and conversation we had during any part of our day.

Research shows that just because students know the strategies does not mean they will engage in the appropriate strategies. Therefore, I try to provide opportunities where students can explicitly practice learning how, when, and why to use which strategies effectively  so that they can become self-directed learners.

For example, I give students a math problem that will make many of them feel “stuck”. I will say, “Your job is to get yourselves stuck—or to allow yourselves to get stuck on this problem—and then work through it, being mindful of how you’re getting yourselves unstuck.” As students work, I check-in to help them name their process: “How did you get yourself unstuck?” or “What was your first step? What are you doing now? What might you try next?” As students talk about their process, I’ll add to a list of strategies that students are using and, if they are struggling, help students name a specific process. For instance, if a student says he wrote the information from the math problem down and points to a chart, I will say: “Oh that’s interesting. You pulled the important information from the problem out and organized it into a chart.” In this way, I am giving him the language to match what he did, so that he now has a strategy he could use in other times of struggle.

The charts grow with us over time and are something that we refer to when students are stuck or struggling. They become a resource for students and a way for them to talk about their process when they are reflecting on and monitoring what did or did not work.

For me, as a teacher, it is important that I create a classroom environment in which students are problem solvers. This helps tie struggles to strategies so that the students will not only see value in working harder but in working smarter by trying new and different strategies and revising their process. In doing so, they will more successful the next time around.

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5 Advantages and Disadvantages of Problem-Based Learning [+ Activity Design Steps]

Written by Marcus Guido

  • Teaching Strategies

Wondering if problem-based learning is right for your classroom? Here are 5 advantages and disadvantages, plus a downloadable activity guide for reference!

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  • Advantages of Problem-Based Learning
  • Disadvantages of Problem-Based Learning
  • Steps to Designing Problem-Based Learning Activities

Used since the 1960s, many teachers express concerns about the effectiveness of problem-based learning (PBL) in certain classroom settings.

Whether you introduce the student-centred pedagogy as a one-time activity or mainstay exercise, grouping students together to solve open-ended problems can present pros and cons.

Below are five advantages and disadvantages of problem-based learning to help you determine if it can work in your classroom.

If you decide to introduce an activity, there are also design creation steps and a downloadable guide to keep at your desk for easy reference.

1. Development of Long-Term Knowledge Retention

Students who participate in problem-based learning activities can improve their abilities to retain and recall information, according to a literature review of studies about the pedagogy .

The literature review states “elaboration of knowledge at the time of learning” -- by sharing facts and ideas through discussion and answering questions -- “enhances subsequent retrieval.” This form of elaborating reinforces understanding of subject matter , making it easier to remember.

Small-group discussion can be especially beneficial -- ideally, each student will get chances to participate.

But regardless of group size, problem-based learning promotes long-term knowledge retention by encouraging students to discuss -- and answer questions about -- new concepts as they’re learning them.

2. Use of Diverse Instruction Types

benefits of teaching problem solving

You can use problem-based learning activities to the meet the diverse learning needs and styles of your students, effectively engaging a diverse classroom in the process. In general, grouping students together for problem-based learning will allow them to:

  • Address real-life issues that require real-life solutions, appealing to students who struggle to grasp abstract concepts
  • Participate in small-group and large-group learning, helping students who don’t excel during solo work grasp new material
  • Talk about their ideas and challenge each other in a constructive manner, giving participatory learners an avenue to excel
  • Tackle a problem using a range of content you provide -- such as videos, audio recordings, news articles and other applicable material -- allowing the lesson to appeal to distinct learning styles

Since running a problem-based learning scenario will give you a way to use these differentiated instruction approaches , it can be especially worthwhile if your students don’t have similar learning preferences.

3. Continuous Engagement

benefits of teaching problem solving

Providing a problem-based learning challenge can engage students by acting as a break from normal lessons and common exercises.

It’s not hard to see the potential for engagement, as kids collaborate to solve real-world problems that directly affect or heavily interest them.

Although conducted with post-secondary students, a study published by the Association for the Study of Medical Education reported increased student attendance to -- and better attitudes towards -- courses that feature problem-based learning.

These activities may lose some inherent engagement if you repeat them too often, but can certainly inject excitement into class.

4. Development of Transferable Skills

Problem-based learning can help students develop skills they can transfer to real-world scenarios, according to a 2015 book that outlines theories and characteristics of the pedagogy .

The tangible contexts and consequences presented in a problem-based learning activity “allow learning to become more profound and durable.” As you present lessons through these real-life scenarios, students should be able to apply learnings if they eventually face similar issues.

For example, if they work together to address a dispute within the school, they may develop lifelong skills related to negotiation and communicating their thoughts with others.

As long as the problem’s context applies to out-of-class scenarios, students should be able to build skills they can use again.

5. Improvement of Teamwork and Interpersonal Skills

benefits of teaching problem solving

Successful completion of a problem-based learning challenge hinges on interaction and communication, meaning students should also build transferable skills based on teamwork and collaboration . Instead of memorizing facts, they get chances to present their ideas to a group, defending and revising them when needed.

What’s more, this should help them understand a group dynamic. Depending on a given student, this can involve developing listening skills and a sense of responsibility when completing one’s tasks. Such skills and knowledge should serve your students well when they enter higher education levels and, eventually, the working world.

1. Potentially Poorer Performance on Tests

benefits of teaching problem solving

Devoting too much time to problem-based learning can cause issues when students take standardized tests, as they may not have the breadth of knowledge needed to achieve high scores. Whereas problem-based learners develop skills related to collaboration and justifying their reasoning, many tests reward fact-based learning with multiple choice and short answer questions. Despite offering many advantages, you could spot this problem develop if you run problem-based learning activities too regularly.

2. Student Unpreparedness

benefits of teaching problem solving

Problem-based learning exercises can engage many of your kids, but others may feel disengaged as a result of not being ready to handle this type of exercise for a number of reasons. On a class-by-class and activity-by-activity basis, participation may be hindered due to:

  • Immaturity  -- Some students may not display enough maturity to effectively work in a group, not fulfilling expectations and distracting other students.
  • Unfamiliarity  -- Some kids may struggle to grasp the concept of an open problem, since they can’t rely on you for answers.
  • Lack of Prerequisite Knowledge  -- Although the activity should address a relevant and tangible problem, students may require new or abstract information to create an effective solution.

You can partially mitigate these issues by actively monitoring the classroom and distributing helpful resources, such as guiding questions and articles to read. This should keep students focused and help them overcome knowledge gaps. But if you foresee facing these challenges too frequently, you may decide to avoid or seldom introduce problem-based learning exercises.

3. Teacher Unpreparedness

If supervising a problem-based learning activity is a new experience, you may have to prepare to adjust some teaching habits . For example, overtly correcting students who make flawed assumptions or statements can prevent them from thinking through difficult concepts and questions. Similarly, you shouldn’t teach to promote the fast recall of facts. Instead, you should concentrate on:

  • Giving hints to help fix improper reasoning
  • Questioning student logic and ideas in a constructive manner
  • Distributing content for research and to reinforce new concepts
  • Asking targeted questions to a group or the class, focusing their attention on a specific aspect of the problem

Depending on your teaching style, it may take time to prepare yourself to successfully run a problem-based learning lesson.

4. Time-Consuming Assessment

benefits of teaching problem solving

If you choose to give marks, assessing a student’s performance throughout a problem-based learning exercise demands constant monitoring and note-taking. You must take factors into account such as:

  • Completed tasks
  • The quality of those tasks
  • The group’s overall work and solution
  • Communication among team members
  • Anything you outlined on the activity’s rubric

Monitoring these criteria is required for each student, making it time-consuming to give and justify a mark for everyone.

5. Varying Degrees of Relevancy and Applicability

It can be difficult to identify a tangible problem that students can solve with content they’re studying and skills they’re mastering. This introduces two clear issues. First, if it is easy for students to divert from the challenge’s objectives, they may miss pertinent information. Second, you could veer off the problem’s focus and purpose as students run into unanticipated obstacles. Overcoming obstacles has benefits, but may compromise the planning you did. It can also make it hard to get back on track once the activity is complete. Because of the difficulty associated with keeping activities relevant and applicable, you may see problem-based learning as too taxing.

If the advantages outweigh the disadvantages -- or you just want to give problem-based learning a shot -- follow these steps:

1. Identify an Applicable Real-Life Problem

benefits of teaching problem solving

Find a tangible problem that’s relevant to your students, allowing them to easily contextualize it and hopefully apply it to future challenges. To identify an appropriate real-world problem, look at issues related to your:

  • Students’ shared interests

You must also ensure that students understand the problem and the information around it. So, not all problems are appropriate for all grade levels.

2. Determine the Overarching Purpose of the Activity

Depending on the problem you choose, determine what you want to accomplish by running the challenge. For example, you may intend to help your students improve skills related to:

  • Collaboration
  • Problem-solving
  • Curriculum-aligned topics
  • Processing diverse content

A more precise example, you may prioritize collaboration skills by assigning specific tasks to pairs of students within each team. In doing so, students will continuously develop communication and collaboration abilities by working as a couple and part of a small group. By defining a clear purpose, you’ll also have an easier time following the next step.

3. Create and Distribute Helpful Material

benefits of teaching problem solving

Handouts and other content not only act as a set of resources, but help students stay focused on the activity and its purpose. For example, if you want them to improve a certain math skill , you should make material that highlights the mathematical aspects of the problem. You may decide to provide items such as:

  • Data that helps quantify and add context to the problem
  • Videos, presentations and other audio-visual material
  • A list of preliminary questions to investigate

Providing a range of resources can be especially important for elementary students and struggling students in higher grades, who may not have self-direction skills to work without them.

4. Set Goals and Expectations for Your Students

Along with the aforementioned materials, give students a guide or rubric that details goals and expectations. It will allow you to further highlight the purpose of the problem-based learning exercise, as you can explain what you’re looking for in terms of collaboration, the final product and anything else. It should also help students stay on track by acting as a reference throughout the activity.

5. Participate

benefits of teaching problem solving

Although explicitly correcting students may be discouraged, you can still help them and ask questions to dig into their thought processes. When you see an opportunity, consider if it’s worthwhile to:

  • Fill gaps in knowledge
  • Provide hints, not answers
  • Question a student’s conclusion or logic regarding a certain point, helping them think through tough spots

By participating in these ways, you can provide insight when students need it most, encouraging them to effectively analyze the problem.

6. Have Students Present Ideas and Findings

If you divided them into small groups, requiring students to present their thoughts and results in front the class adds a large-group learning component to the lesson. Encourage other students to ask questions, allowing the presenting group to elaborate and provide evidence for their thoughts. This wraps up the activity and gives your class a final chance to find solutions to the problem.

Wrapping Up

The effectiveness of problem-based learning may differ between classrooms and individual students, depending on how significant specific advantages and disadvantages are to you. Evaluative research consistently shows value in giving students a question and letting them take control of their learning. But the extent of this value can depend on the difficulties you face.It may be wise to try a problem-based learning activity, and go forward based on results.

Create or log into your teacher account on Prodigy -- an adaptive math game that adjusts content to accommodate player trouble spots and learning speeds. Aligned to US and Canadian curricula, it’s used by more than 350,000 teachers and 10 million students. It may be wise to try a problem-based learning activity, and go forward based on results.

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Teaching Problem-Solving Skills

Many instructors design opportunities for students to solve “problems”. But are their students solving true problems or merely participating in practice exercises? The former stresses critical thinking and decision­ making skills whereas the latter requires only the application of previously learned procedures.

Problem solving is often broadly defined as "the ability to understand the environment, identify complex problems, review related information to develop, evaluate strategies and implement solutions to build the desired outcome" (Fissore, C. et al, 2021). True problem solving is the process of applying a method – not known in advance – to a problem that is subject to a specific set of conditions and that the problem solver has not seen before, in order to obtain a satisfactory solution.

Below you will find some basic principles for teaching problem solving and one model to implement in your classroom teaching.

Principles for teaching problem solving

  • Model a useful problem-solving method . Problem solving can be difficult and sometimes tedious. Show students how to be patient and persistent, and how to follow a structured method, such as Woods’ model described below. Articulate your method as you use it so students see the connections.
  • Teach within a specific context . Teach problem-solving skills in the context in which they will be used by students (e.g., mole fraction calculations in a chemistry course). Use real-life problems in explanations, examples, and exams. Do not teach problem solving as an independent, abstract skill.
  • Help students understand the problem . In order to solve problems, students need to define the end goal. This step is crucial to successful learning of problem-solving skills. If you succeed at helping students answer the questions “what?” and “why?”, finding the answer to “how?” will be easier.
  • Take enough time . When planning a lecture/tutorial, budget enough time for: understanding the problem and defining the goal (both individually and as a class); dealing with questions from you and your students; making, finding, and fixing mistakes; and solving entire problems in a single session.
  • Ask questions and make suggestions . Ask students to predict “what would happen if …” or explain why something happened. This will help them to develop analytical and deductive thinking skills. Also, ask questions and make suggestions about strategies to encourage students to reflect on the problem-solving strategies that they use.
  • Link errors to misconceptions . Use errors as evidence of misconceptions, not carelessness or random guessing. Make an effort to isolate the misconception and correct it, then teach students to do this by themselves. We can all learn from mistakes.

Woods’ problem-solving model

Define the problem.

  • The system . Have students identify the system under study (e.g., a metal bridge subject to certain forces) by interpreting the information provided in the problem statement. Drawing a diagram is a great way to do this.
  • Known(s) and concepts . List what is known about the problem, and identify the knowledge needed to understand (and eventually) solve it.
  • Unknown(s) . Once you have a list of knowns, identifying the unknown(s) becomes simpler. One unknown is generally the answer to the problem, but there may be other unknowns. Be sure that students understand what they are expected to find.
  • Units and symbols . One key aspect in problem solving is teaching students how to select, interpret, and use units and symbols. Emphasize the use of units whenever applicable. Develop a habit of using appropriate units and symbols yourself at all times.
  • Constraints . All problems have some stated or implied constraints. Teach students to look for the words "only", "must", "neglect", or "assume" to help identify the constraints.
  • Criteria for success . Help students consider, from the beginning, what a logical type of answer would be. What characteristics will it possess? For example, a quantitative problem will require an answer in some form of numerical units (e.g., $/kg product, square cm, etc.) while an optimization problem requires an answer in the form of either a numerical maximum or minimum.

Think about it

  • “Let it simmer”.  Use this stage to ponder the problem. Ideally, students will develop a mental image of the problem at hand during this stage.
  • Identify specific pieces of knowledge . Students need to determine by themselves the required background knowledge from illustrations, examples and problems covered in the course.
  • Collect information . Encourage students to collect pertinent information such as conversion factors, constants, and tables needed to solve the problem.

Plan a solution

  • Consider possible strategies . Often, the type of solution will be determined by the type of problem. Some common problem-solving strategies are: compute; simplify; use an equation; make a model, diagram, table, or chart; or work backwards.
  • Choose the best strategy . Help students to choose the best strategy by reminding them again what they are required to find or calculate.

Carry out the plan

  • Be patient . Most problems are not solved quickly or on the first attempt. In other cases, executing the solution may be the easiest step.
  • Be persistent . If a plan does not work immediately, do not let students get discouraged. Encourage them to try a different strategy and keep trying.

Encourage students to reflect. Once a solution has been reached, students should ask themselves the following questions:

  • Does the answer make sense?
  • Does it fit with the criteria established in step 1?
  • Did I answer the question(s)?
  • What did I learn by doing this?
  • Could I have done the problem another way?

If you would like support applying these tips to your own teaching, CTE staff members are here to help.  View the  CTE Support  page to find the most relevant staff member to contact. 

  • Fissore, C., Marchisio, M., Roman, F., & Sacchet, M. (2021). Development of problem solving skills with Maple in higher education. In: Corless, R.M., Gerhard, J., Kotsireas, I.S. (eds) Maple in Mathematics Education and Research. MC 2020. Communications in Computer and Information Science, vol 1414. Springer, Cham. https://doi.org/10.1007/978-3-030-81698-8_15
  • Foshay, R., & Kirkley, J. (1998). Principles for Teaching Problem Solving. TRO Learning Inc., Edina MN.  (PDF) Principles for Teaching Problem Solving (researchgate.net)
  • Hayes, J.R. (1989). The Complete Problem Solver. 2nd Edition. Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Woods, D.R., Wright, J.D., Hoffman, T.W., Swartman, R.K., Doig, I.D. (1975). Teaching Problem solving Skills.
  • Engineering Education. Vol 1, No. 1. p. 238. Washington, DC: The American Society for Engineering Education.

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Teaching problem solving

Strategies for teaching problem solving apply across disciplines and instructional contexts. First, introduce the problem and explain how people in your discipline generally make sense of the given information. Then, explain how to apply these approaches to solve the problem.

Introducing the problem

Explaining how people in your discipline understand and interpret these types of problems can help students develop the skills they need to understand the problem (and find a solution). After introducing how you would go about solving a problem, you could then ask students to:

  • frame the problem in their own words
  • define key terms and concepts
  • determine statements that accurately represent the givens of a problem
  • identify analogous problems
  • determine what information is needed to solve the problem

Working on solutions

In the solution phase, one develops and then implements a coherent plan for solving the problem. As you help students with this phase, you might ask them to:

  • identify the general model or procedure they have in mind for solving the problem
  • set sub-goals for solving the problem
  • identify necessary operations and steps
  • draw conclusions
  • carry out necessary operations

You can help students tackle a problem effectively by asking them to:

  • systematically explain each step and its rationale
  • explain how they would approach solving the problem
  • help you solve the problem by posing questions at key points in the process
  • work together in small groups (3 to 5 students) to solve the problem and then have the solution presented to the rest of the class (either by you or by a student in the group)

In all cases, the more you get the students to articulate their own understandings of the problem and potential solutions, the more you can help them develop their expertise in approaching problems in your discipline.

benefits of teaching problem solving

Problem based learning: a teacher's guide

December 10, 2021

Find out how teachers use problem-based learning models to improve engagement and drive attainment.

Main, P (2021, December 10). Problem based learning: a teacher's guide. Retrieved from https://www.structural-learning.com/post/problem-based-learning-a-teachers-guide

What is problem-based learning?

Problem-based learning (PBL) is a style of teaching that encourages students to become the drivers of their learning process . Problem-based learning involves complex learning issues from real-world problems and makes them the classroom's topic of discussion ; encouraging students to understand concepts through problem-solving skills rather than simply learning facts. When schools find time in the curriculum for this style of teaching it offers students an authentic vehicle for the integration of knowledge .

Embracing this pedagogical approach enables schools to balance subject knowledge acquisition with a skills agenda . Often used in medical education, this approach has equal significance in mainstream education where pupils can apply their knowledge to real-life problems. 

PBL is not only helpful in learning course content , but it can also promote the development of problem-solving abilities , critical thinking skills , and communication skills while providing opportunities to work in groups , find and analyse research materials , and take part in life-long learning .

PBL is a student-centred teaching method in which students understand a topic by working in groups. They work out an open-ended problem , which drives the motivation to learn. These sorts of theories of teaching do require schools to invest time and resources into supporting self-directed learning. Not all curriculum knowledge is best acquired through this process, rote learning still has its place in certain situations. In this article, we will look at how we can equip our students to take more ownership of the learning process and utilise more sophisticated ways for the integration of knowledge .

Philosophical Underpinnings of PBL

Problem-Based Learning (PBL), with its roots in the philosophies of John Dewey, Maria Montessori, and Jerome Bruner, aligns closely with the social constructionist view of learning. This approach positions learners as active participants in the construction of knowledge, contrasting with traditional models of instruction where learners are seen as passive recipients of information.

Dewey, a seminal figure in progressive education, advocated for active learning and real-world problem-solving, asserting that learning is grounded in experience and interaction. In PBL, learners tackle complex, real-world problems, which mirrors Dewey's belief in the interconnectedness of education and practical life.

Montessori also endorsed learner-centric, self-directed learning, emphasizing the child's potential to construct their own learning experiences. This parallels with PBL’s emphasis on self-directed learning, where students take ownership of their learning process.

Jerome Bruner’s theories underscored the idea of learning as an active, social process. His concept of a 'spiral curriculum' – where learning is revisited in increasing complexity – can be seen reflected in the iterative problem-solving process in PBL.

Webb’s Depth of Knowledge (DOK) framework aligns with PBL as it encourages higher-order cognitive skills. The complex tasks in PBL often demand analytical and evaluative skills (Webb's DOK levels 3 and 4) as students engage with the problem, devise a solution, and reflect on their work.

The effectiveness of PBL is supported by psychological theories like the information processing theory, which highlights the role of active engagement in enhancing memory and recall. A study by Strobel and Van Barneveld (2009) found that PBL students show improved retention of knowledge, possibly due to the deep cognitive processing involved.

As cognitive scientist Daniel Willingham aptly puts it, "Memory is the residue of thought." PBL encourages learners to think critically and deeply, enhancing both learning and retention.

Here's a quick overview:

  • John Dewey : Emphasized learning through experience and the importance of problem-solving.
  • Maria Montessori : Advocated for child-centered, self-directed learning.
  • Jerome Bruner : Underlined learning as a social process and proposed the spiral curriculum.
  • Webb’s DOK : Supports PBL's encouragement of higher-order thinking skills.
  • Information Processing Theory : Reinforces the notion that active engagement in PBL enhances memory and recall.

This deep-rooted philosophical and psychological framework strengthens the validity of the problem-based learning approach, confirming its beneficial role in promoting valuable cognitive skills and fostering positive student learning outcomes.

Problem based learning cycle

What are the characteristics of problem-based learning?

Adding a little creativity can change a topic into a problem-based learning activity. The following are some of the characteristics of a good PBL model:

  • The problem encourages students to search for a deeper understanding of content knowledge;
  • Students are responsible for their learning. PBL has a student-centred learning approach . Students' motivation increases when responsibility for the process and solution to the problem rests with the learner;
  • The problem motivates pupils to gain desirable learning skills and to defend well-informed decisions ;
  • The problem connects the content learning goals with the previous knowledge. PBL allows students to access, integrate and study information from multiple disciplines that might relate to understanding and resolving a specific problem—just as persons in the real world recollect and use the application of knowledge that they have gained from diverse sources in their life.
  • In a multistage project, the first stage of the problem must be engaging and open-ended to make students interested in the problem. In the real world, problems are poorly-structured. Research suggests that well-structured problems make students less invested and less motivated in the development of the solution. The problem simulations used in problem-based contextual learning are less structured to enable students to make a free inquiry.

Frameworks for problem-based learning

  • In a group project, the problem must have some level of complexity that motivates students towards knowledge acquisition and to work together for finding the solution. PBL involves collaboration between learners. In professional life, most people will find themselves in employment where they would work productively and share information with others. PBL leads to the development of such essential skills . In a PBL session, the teacher would ask questions to make sure that knowledge has been shared between pupils;
  • At the end of each problem or PBL, self and peer assessments are performed. The main purpose of assessments is to sharpen a variety of metacognitive processing skills and to reinforce self-reflective learning.
  • Student assessments would evaluate student progress towards the objectives of problem-based learning. The learning goals of PBL are both process-based and knowledge-based. Students must be assessed on both these dimensions to ensure that they are prospering as intended from the PBL approach. Students must be able to identify and articulate what they understood and what they learned.

Problem based learning tools

Why is Problem-based learning a significant skill?

Using Problem-Based Learning across a school promotes critical competence, inquiry , and knowledge application in social, behavioural and biological sciences. Practice-based learning holds a strong track record of successful learning outcomes in higher education settings such as graduates of Medical Schools.

Educational models using PBL can improve learning outcomes by teaching students how to implement theory into practice and build problem-solving skills. For example, within the field of health sciences education, PBL makes the learning process for nurses and medical students self-centred and promotes their teamwork and leadership skills. Within primary and secondary education settings, this model of teaching, with the right sort of collaborative tools , can advance the wider skills development valued in society.

At Structural Learning, we have been developing a self-assessment tool designed to monitor the progress of children. Utilising these types of teaching theories curriculum wide can help a school develop the learning behaviours our students will need in the workplace.

Curriculum wide collaborative tools include Writers Block and the Universal Thinking Framework . Along with graphic organisers, these tools enable children to collaborate and entertain different perspectives that they might not otherwise see. Putting learning in action by using the block building methodology enables children to reach their learning goals by experimenting and iterating. 

Scaffolding problem based learning with classroom tools

How is problem-based learning different from inquiry-based learning?

The major difference between inquiry-based learning and PBL relates to the role of the teacher . In the case of inquiry-based learning, the teacher is both a provider of classroom knowledge and a facilitator of student learning (expecting/encouraging higher-order thinking). On the other hand, PBL is a deep learning approach, in which the teacher is the supporter of the learning process and expects students to have clear thinking, but the teacher is not the provider of classroom knowledge about the problem—the responsibility of providing information belongs to the learners themselves.

As well as being used systematically in medical education, this approach has significant implications for integrating learning skills into mainstream classrooms .

Using a critical thinking disposition inventory, schools can monitor the wider progress of their students as they apply their learning skills across the traditional curriculum. Authentic problems call students to apply their critical thinking abilities in new and purposeful ways. As students explain their ideas to one another, they develop communication skills that might not otherwise be nurtured.

Depending on the curriculum being delivered by a school, there may well be an emphasis on building critical thinking abilities in the classroom. Within the International Baccalaureate programs, these life-long skills are often cited in the IB learner profile . Critical thinking dispositions are highly valued in the workplace and this pedagogical approach can be used to harness these essential 21st-century skills.

Traditional vs problem based learning

What are the Benefits of Problem-Based Learning?

Student-led Problem-Based Learning is one of the most useful ways to make students drivers of their learning experience. It makes students creative, innovative, logical and open-minded. The educational practice of Problem-Based Learning also provides opportunities for self-directed and collaborative learning with others in an active learning and hands-on process. Below are the most significant benefits of problem-based learning processes:

  • Self-learning: As a self-directed learning method, problem-based learning encourages children to take responsibility and initiative for their learning processes . As children use creativity and research, they develop skills that will help them in their adulthood.
  • Engaging : Students don't just listen to the teacher, sit back and take notes. Problem-based learning processes encourages students to take part in learning activities, use learning resources , stay active , think outside the box and apply critical thinking skills to solve problems.
  • Teamwork : Most of the problem-based learning issues involve students collaborative learning to find a solution. The educational practice of PBL builds interpersonal skills, listening and communication skills and improves the skills of collaboration and compromise.
  • Intrinsic Rewards: In most problem-based learning projects, the reward is much bigger than good grades. Students gain the pride and satisfaction of finding an innovative solution, solving a riddle, or creating a tangible product.
  • Transferable Skills: The acquisition of knowledge through problem-based learning strategies don't just help learners in one class or a single subject area. Students can apply these skills to a plethora of subject matter as well as in real life.
  • Multiple Learning Opportunities : A PBL model offers an open-ended problem-based acquisition of knowledge, which presents a real-world problem and asks learners to come up with well-constructed responses. Students can use multiple sources such as they can access online resources, using their prior knowledge, and asking momentous questions to brainstorm and come up with solid learning outcomes. Unlike traditional approaches , there might be more than a single right way to do something, but this process motivates learners to explore potential solutions whilst staying active.

Solving authentic problems using problem based learning

Embracing problem-based learning

Problem-based learning can be seen as a deep learning approach and when implemented effectively as part of a broad and balanced curriculum , a successful teaching strategy in education. PBL has a solid epistemological and philosophical foundation and a strong track record of success in multiple areas of study. Learners must experience problem-based learning methods and engage in positive solution-finding activities. PBL models allow learners to gain knowledge through real-world problems, which offers more strength to their understanding and helps them find the connection between classroom learning and the real world at large.

As they solve problems, students can evolve as individuals and team-mates. One word of caution, not all classroom tasks will lend themselves to this learning theory. Take spellings , for example, this is usually delivered with low-stakes quizzing through a practice-based learning model. PBL allows students to apply their knowledge creatively but they need to have a certain level of background knowledge to do this, rote learning might still have its place after all.

Key Concepts and considerations for school leaders

1. Problem Based Learning (PBL)

Problem-based learning (PBL) is an educational method that involves active student participation in solving authentic problems. Students are given a task or question that they must answer using their prior knowledge and resources. They then collaborate with each other to come up with solutions to the problem. This collaborative effort leads to deeper learning than traditional lectures or classroom instruction .

Key question: Inside a traditional curriculum , what opportunities across subject areas do you immediately see?

2. Deep Learning

Deep learning is a term used to describe the ability to learn concepts deeply. For example, if you were asked to memorize a list of numbers, you would probably remember the first five numbers easily, but the last number would be difficult to recall. However, if you were taught to understand the concept behind the numbers, you would be able to remember the last number too.

Key question: How will you make sure that students use a full range of learning styles and learning skills ?

3. Epistemology

Epistemology is the branch of philosophy that deals with the nature of knowledge . It examines the conditions under which something counts as knowledge.

Key question:  As well as focusing on critical thinking dispositions, what subject knowledge should the students understand?

4. Philosophy

Philosophy is the study of general truths about human life. Philosophers examine questions such as “What makes us happy?”, “How should we live our lives?”, and “Why does anything exist?”

Key question: Are there any opportunities for embracing philosophical enquiry into the project to develop critical thinking abilities ?

5. Curriculum

A curriculum is a set of courses designed to teach specific subjects. These courses may include mathematics , science, social studies, language arts, etc.

Key question: How will subject leaders ensure that the integrity of the curriculum is maintained?

6. Broad and Balanced Curriculum

Broad and balanced curricula are those that cover a wide range of topics. Some examples of these types of curriculums include AP Biology, AP Chemistry, AP English Language, AP Physics 1, AP Psychology , AP Spanish Literature, AP Statistics, AP US History, AP World History, IB Diploma Programme, IB Primary Years Program, IB Middle Years Program, IB Diploma Programme .

Key question: Are the teachers who have identified opportunities for a problem-based curriculum?

7. Successful Teaching Strategy

Successful teaching strategies involve effective communication techniques, clear objectives, and appropriate assessments. Teachers must ensure that their lessons are well-planned and organized. They must also provide opportunities for students to interact with one another and share information.

Key question: What pedagogical approaches and teaching strategies will you use?

8. Positive Solution Finding

Positive solution finding is a type of problem-solving where students actively seek out answers rather than passively accept what others tell them.

Key question: How will you ensure your problem-based curriculum is met with a positive mindset from students and teachers?

9. Real World Application

Real-world application refers to applying what students have learned in class to situations that occur in everyday life.

Key question: Within your local school community , are there any opportunities to apply knowledge and skills to real-life problems?

10. Creativity

Creativity is the ability to think of ideas that no one else has thought of yet. Creative thinking requires divergent thinking, which means thinking in different directions.

Key question: What teaching techniques will you use to enable children to generate their own ideas ?

11. Teamwork

Teamwork is the act of working together towards a common goal. Teams often consist of two or more people who work together to achieve a shared objective.

Key question: What opportunities are there to engage students in dialogic teaching methods where they talk their way through the problem?

12. Knowledge Transfer

Knowledge transfer occurs when teachers use their expertise to help students develop skills and abilities .

Key question: Can teachers be able to track the success of the project using improvement scores?

13. Active Learning

Active learning is any form of instruction that engages students in the learning process. Examples of active learning include group discussions, role-playing, debates, presentations, and simulations .

Key question: Will there be an emphasis on learning to learn and developing independent learning skills ?

14. Student Engagement

Student engagement is the degree to which students feel motivated to participate in academic activities.

Key question: Are there any tools available to monitor student engagement during the problem-based curriculum ?

benefits of teaching problem solving

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Classroom Practice

Center for Teaching

Teaching problem solving.

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Tips and Techniques

Expert vs. novice problem solvers, communicate.

  • Have students  identify specific problems, difficulties, or confusions . Don’t waste time working through problems that students already understand.
  • If students are unable to articulate their concerns, determine where they are having trouble by  asking them to identify the specific concepts or principles associated with the problem.
  • In a one-on-one tutoring session, ask the student to  work his/her problem out loud . This slows down the thinking process, making it more accurate and allowing you to access understanding.
  • When working with larger groups you can ask students to provide a written “two-column solution.” Have students write up their solution to a problem by putting all their calculations in one column and all of their reasoning (in complete sentences) in the other column. This helps them to think critically about their own problem solving and helps you to more easily identify where they may be having problems. Two-Column Solution (Math) Two-Column Solution (Physics)

Encourage Independence

  • Model the problem solving process rather than just giving students the answer. As you work through the problem, consider how a novice might struggle with the concepts and make your thinking clear
  • Have students work through problems on their own. Ask directing questions or give helpful suggestions, but  provide only minimal assistance and only when needed to overcome obstacles.
  • Don’t fear  group work ! Students can frequently help each other, and talking about a problem helps them think more critically about the steps needed to solve the problem. Additionally, group work helps students realize that problems often have multiple solution strategies, some that might be more effective than others

Be sensitive

  • Frequently, when working problems, students are unsure of themselves. This lack of confidence may hamper their learning. It is important to recognize this when students come to us for help, and to give each student some feeling of mastery. Do this by providing  positive reinforcement to let students know when they have mastered a new concept or skill.

Encourage Thoroughness and Patience

  • Try to communicate that  the process is more important than the answer so that the student learns that it is OK to not have an instant solution. This is learned through your acceptance of his/her pace of doing things, through your refusal to let anxiety pressure you into giving the right answer, and through your example of problem solving through a step-by step process.

Experts (teachers) in a particular field are often so fluent in solving problems from that field that they can find it difficult to articulate the problem solving principles and strategies they use to novices (students) in their field because these principles and strategies are second nature to the expert. To teach students problem solving skills,  a teacher should be aware of principles and strategies of good problem solving in his or her discipline .

The mathematician George Polya captured the problem solving principles and strategies he used in his discipline in the book  How to Solve It: A New Aspect of Mathematical Method (Princeton University Press, 1957). The book includes  a summary of Polya’s problem solving heuristic as well as advice on the teaching of problem solving.

benefits of teaching problem solving

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  • Problem Solving in STEM

Solving problems is a key component of many science, math, and engineering classes.  If a goal of a class is for students to emerge with the ability to solve new kinds of problems or to use new problem-solving techniques, then students need numerous opportunities to develop the skills necessary to approach and answer different types of problems.  Problem solving during section or class allows students to develop their confidence in these skills under your guidance, better preparing them to succeed on their homework and exams. This page offers advice about strategies for facilitating problem solving during class.

How do I decide which problems to cover in section or class?

In-class problem solving should reinforce the major concepts from the class and provide the opportunity for theoretical concepts to become more concrete. If students have a problem set for homework, then in-class problem solving should prepare students for the types of problems that they will see on their homework. You may wish to include some simpler problems both in the interest of time and to help students gain confidence, but it is ideal if the complexity of at least some of the in-class problems mirrors the level of difficulty of the homework. You may also want to ask your students ahead of time which skills or concepts they find confusing, and include some problems that are directly targeted to their concerns.

You have given your students a problem to solve in class. What are some strategies to work through it?

  • Try to give your students a chance to grapple with the problems as much as possible.  Offering them the chance to do the problem themselves allows them to learn from their mistakes in the presence of your expertise as their teacher. (If time is limited, they may not be able to get all the way through multi-step problems, in which case it can help to prioritize giving them a chance to tackle the most challenging steps.)
  • When you do want to teach by solving the problem yourself at the board, talk through the logic of how you choose to apply certain approaches to solve certain problems.  This way you can externalize the type of thinking you hope your students internalize when they solve similar problems themselves.
  • Start by setting up the problem on the board (e.g you might write down key variables and equations; draw a figure illustrating the question).  Ask students to start solving the problem, either independently or in small groups.  As they are working on the problem, walk around to hear what they are saying and see what they are writing down. If several students seem stuck, it might be a good to collect the whole class again to clarify any confusion.  After students have made progress, bring the everyone back together and have students guide you as to what to write on the board.
  • It can help to first ask students to work on the problem by themselves for a minute, and then get into small groups to work on the problem collaboratively.
  • If you have ample board space, have students work in small groups at the board while solving the problem.  That way you can monitor their progress by standing back and watching what they put up on the board.
  • If you have several problems you would like to have the students practice, but not enough time for everyone to do all of them, you can assign different groups of students to work on different – but related - problems.

When do you want students to work in groups to solve problems?

  • Don’t ask students to work in groups for straightforward problems that most students could solve independently in a short amount of time.
  • Do have students work in groups for thought-provoking problems, where students will benefit from meaningful collaboration.
  • Even in cases where you plan to have students work in groups, it can be useful to give students some time to work on their own before collaborating with others.  This ensures that every student engages with the problem and is ready to contribute to a discussion.

What are some benefits of having students work in groups?

  • Students bring different strengths, different knowledge, and different ideas for how to solve a problem; collaboration can help students work through problems that are more challenging than they might be able to tackle on their own.
  • In working in a group, students might consider multiple ways to approach a problem, thus enriching their repertoire of strategies.
  • Students who think they understand the material will gain a deeper understanding by explaining concepts to their peers.

What are some strategies for helping students to form groups?  

  • Instruct students to work with the person (or people) sitting next to them.
  • Count off.  (e.g. 1, 2, 3, 4; all the 1’s find each other and form a group, etc)
  • Hand out playing cards; students need to find the person with the same number card. (There are many variants to this.  For example, you can print pictures of images that go together [rain and umbrella]; each person gets a card and needs to find their partner[s].)
  • Based on what you know about the students, assign groups in advance. List the groups on the board.
  • Note: Always have students take the time to introduce themselves to each other in a new group.

What should you do while your students are working on problems?

  • Walk around and talk to students. Observing their work gives you a sense of what people understand and what they are struggling with. Answer students’ questions, and ask them questions that lead in a productive direction if they are stuck.
  • If you discover that many people have the same question—or that someone has a misunderstanding that others might have—you might stop everyone and discuss a key idea with the entire class.

After students work on a problem during class, what are strategies to have them share their answers and their thinking?

  • Ask for volunteers to share answers. Depending on the nature of the problem, student might provide answers verbally or by writing on the board. As a variant, for questions where a variety of answers are relevant, ask for at least three volunteers before anyone shares their ideas.
  • Use online polling software for students to respond to a multiple-choice question anonymously.
  • If students are working in groups, assign reporters ahead of time. For example, the person with the next birthday could be responsible for sharing their group’s work with the class.
  • Cold call. To reduce student anxiety about cold calling, it can help to identify students who seem to have the correct answer as you were walking around the class and checking in on their progress solving the assigned problem. You may even want to warn the student ahead of time: "This is a great answer! Do you mind if I call on you when we come back together as a class?"
  • Have students write an answer on a notecard that they turn in to you.  If your goal is to understand whether students in general solved a problem correctly, the notecards could be submitted anonymously; if you wish to assess individual students’ work, you would want to ask students to put their names on their notecard.  
  • Use a jigsaw strategy, where you rearrange groups such that each new group is comprised of people who came from different initial groups and had solved different problems.  Students now are responsible for teaching the other students in their new group how to solve their problem.
  • Have a representative from each group explain their problem to the class.
  • Have a representative from each group draw or write the answer on the board.

What happens if a student gives a wrong answer?

  • Ask for their reasoning so that you can understand where they went wrong.
  • Ask if anyone else has other ideas. You can also ask this sometimes when an answer is right.
  • Cultivate an environment where it’s okay to be wrong. Emphasize that you are all learning together, and that you learn through making mistakes.
  • Do make sure that you clarify what the correct answer is before moving on.
  • Once the correct answer is given, go through some answer-checking techniques that can distinguish between correct and incorrect answers. This can help prepare students to verify their future work.

How can you make your classroom inclusive?

  • The goal is that everyone is thinking, talking, and sharing their ideas, and that everyone feels valued and respected. Use a variety of teaching strategies (independent work and group work; allow students to talk to each other before they talk to the class). Create an environment where it is normal to struggle and make mistakes.
  • See Kimberly Tanner’s article on strategies to promoste student engagement and cultivate classroom equity. 

A few final notes…

  • Make sure that you have worked all of the problems and also thought about alternative approaches to solving them.
  • Board work matters. You should have a plan beforehand of what you will write on the board, where, when, what needs to be added, and what can be erased when. If students are going to write their answers on the board, you need to also have a plan for making sure that everyone gets to the correct answer. Students will copy what is on the board and use it as their notes for later study, so correct and logical information must be written there.

For more information...

Tipsheet: Problem Solving in STEM Sections

Tanner, K. D. (2013). Structure matters: twenty-one teaching strategies to promote student engagement and cultivate classroom equity . CBE-Life Sciences Education, 12(3), 322-331.

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  • A Teaching Timeline: From Pre-Term Planning to the Final Exam
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5 Teaching Mathematics Through Problem Solving

Janet Stramel

Problem Solving

In his book “How to Solve It,” George Pólya (1945) said, “One of the most important tasks of the teacher is to help his students. This task is not quite easy; it demands time, practice, devotion, and sound principles. The student should acquire as much experience of independent work as possible. But if he is left alone with his problem without any help, he may make no progress at all. If the teacher helps too much, nothing is left to the student. The teacher should help, but not too much and not too little, so that the student shall have a reasonable share of the work.” (page 1)

What is a problem  in mathematics? A problem is “any task or activity for which the students have no prescribed or memorized rules or methods, nor is there a perception by students that there is a specific ‘correct’ solution method” (Hiebert, et. al., 1997). Problem solving in mathematics is one of the most important topics to teach; learning to problem solve helps students develop a sense of solving real-life problems and apply mathematics to real world situations. It is also used for a deeper understanding of mathematical concepts. Learning “math facts” is not enough; students must also learn how to use these facts to develop their thinking skills.

According to NCTM (2010), the term “problem solving” refers to mathematical tasks that have the potential to provide intellectual challenges for enhancing students’ mathematical understanding and development. When you first hear “problem solving,” what do you think about? Story problems or word problems? Story problems may be limited to and not “problematic” enough. For example, you may ask students to find the area of a rectangle, given the length and width. This type of problem is an exercise in computation and can be completed mindlessly without understanding the concept of area. Worthwhile problems  includes problems that are truly problematic and have the potential to provide contexts for students’ mathematical development.

There are three ways to solve problems: teaching for problem solving, teaching about problem solving, and teaching through problem solving.

Teaching for problem solving begins with learning a skill. For example, students are learning how to multiply a two-digit number by a one-digit number, and the story problems you select are multiplication problems. Be sure when you are teaching for problem solving, you select or develop tasks that can promote the development of mathematical understanding.

Teaching about problem solving begins with suggested strategies to solve a problem. For example, “draw a picture,” “make a table,” etc. You may see posters in teachers’ classrooms of the “Problem Solving Method” such as: 1) Read the problem, 2) Devise a plan, 3) Solve the problem, and 4) Check your work. There is little or no evidence that students’ problem-solving abilities are improved when teaching about problem solving. Students will see a word problem as a separate endeavor and focus on the steps to follow rather than the mathematics. In addition, students will tend to use trial and error instead of focusing on sense making.

Teaching through problem solving  focuses students’ attention on ideas and sense making and develops mathematical practices. Teaching through problem solving also develops a student’s confidence and builds on their strengths. It allows for collaboration among students and engages students in their own learning.

Consider the following worthwhile-problem criteria developed by Lappan and Phillips (1998):

  • The problem has important, useful mathematics embedded in it.
  • The problem requires high-level thinking and problem solving.
  • The problem contributes to the conceptual development of students.
  • The problem creates an opportunity for the teacher to assess what his or her students are learning and where they are experiencing difficulty.
  • The problem can be approached by students in multiple ways using different solution strategies.
  • The problem has various solutions or allows different decisions or positions to be taken and defended.
  • The problem encourages student engagement and discourse.
  • The problem connects to other important mathematical ideas.
  • The problem promotes the skillful use of mathematics.
  • The problem provides an opportunity to practice important skills.

Of course, not every problem will include all of the above. Sometimes, you will choose a problem because your students need an opportunity to practice a certain skill.

Key features of a good mathematics problem includes:

  • It must begin where the students are mathematically.
  • The feature of the problem must be the mathematics that students are to learn.
  • It must require justifications and explanations for both answers and methods of solving.

Needlepoint of cats

Problem solving is not a  neat and orderly process. Think about needlework. On the front side, it is neat and perfect and pretty.

Back of a needlepoint

But look at the b ack.

It is messy and full of knots and loops. Problem solving in mathematics is also like this and we need to help our students be “messy” with problem solving; they need to go through those knots and loops and learn how to solve problems with the teacher’s guidance.

When you teach through problem solving , your students are focused on ideas and sense-making and they develop confidence in mathematics!

Mathematics Tasks and Activities that Promote Teaching through Problem Solving

Teacher teaching a math lesson

Choosing the Right Task

Selecting activities and/or tasks is the most significant decision teachers make that will affect students’ learning. Consider the following questions:

  • Teachers must do the activity first. What is problematic about the activity? What will you need to do BEFORE the activity and AFTER the activity? Additionally, think how your students would do the activity.
  • What mathematical ideas will the activity develop? Are there connections to other related mathematics topics, or other content areas?
  • Can the activity accomplish your learning objective/goals?

benefits of teaching problem solving

Low Floor High Ceiling Tasks

By definition, a “ low floor/high ceiling task ” is a mathematical activity where everyone in the group can begin and then work on at their own level of engagement. Low Floor High Ceiling Tasks are activities that everyone can begin and work on based on their own level, and have many possibilities for students to do more challenging mathematics. One gauge of knowing whether an activity is a Low Floor High Ceiling Task is when the work on the problems becomes more important than the answer itself, and leads to rich mathematical discourse [Hover: ways of representing, thinking, talking, agreeing, and disagreeing; the way ideas are exchanged and what the ideas entail; and as being shaped by the tasks in which students engage as well as by the nature of the learning environment].

The strengths of using Low Floor High Ceiling Tasks:

  • Allows students to show what they can do, not what they can’t.
  • Provides differentiation to all students.
  • Promotes a positive classroom environment.
  • Advances a growth mindset in students
  • Aligns with the Standards for Mathematical Practice

Examples of some Low Floor High Ceiling Tasks can be found at the following sites:

  • YouCubed – under grades choose Low Floor High Ceiling
  • NRICH Creating a Low Threshold High Ceiling Classroom
  • Inside Mathematics Problems of the Month

Math in 3-Acts

Math in 3-Acts was developed by Dan Meyer to spark an interest in and engage students in thought-provoking mathematical inquiry. Math in 3-Acts is a whole-group mathematics task consisting of three distinct parts:

Act One is about noticing and wondering. The teacher shares with students an image, video, or other situation that is engaging and perplexing. Students then generate questions about the situation.

In Act Two , the teacher offers some information for the students to use as they find the solutions to the problem.

Act Three is the “reveal.” Students share their thinking as well as their solutions.

“Math in 3 Acts” is a fun way to engage your students, there is a low entry point that gives students confidence, there are multiple paths to a solution, and it encourages students to work in groups to solve the problem. Some examples of Math in 3-Acts can be found at the following websites:

  • Dan Meyer’s Three-Act Math Tasks
  • Graham Fletcher3-Act Tasks ]
  • Math in 3-Acts: Real World Math Problems to Make Math Contextual, Visual and Concrete

Number Talks

Number talks are brief, 5-15 minute discussions that focus on student solutions for a mental math computation problem. Students share their different mental math processes aloud while the teacher records their thinking visually on a chart or board. In addition, students learn from each other’s strategies as they question, critique, or build on the strategies that are shared.. To use a “number talk,” you would include the following steps:

  • The teacher presents a problem for students to solve mentally.
  • Provide adequate “ wait time .”
  • The teacher calls on a students and asks, “What were you thinking?” and “Explain your thinking.”
  • For each student who volunteers to share their strategy, write their thinking on the board. Make sure to accurately record their thinking; do not correct their responses.
  • Invite students to question each other about their strategies, compare and contrast the strategies, and ask for clarification about strategies that are confusing.

“Number Talks” can be used as an introduction, a warm up to a lesson, or an extension. Some examples of Number Talks can be found at the following websites:

  • Inside Mathematics Number Talks
  • Number Talks Build Numerical Reasoning

Light bulb

Saying “This is Easy”

“This is easy.” Three little words that can have a big impact on students. What may be “easy” for one person, may be more “difficult” for someone else. And saying “this is easy” defeats the purpose of a growth mindset classroom, where students are comfortable making mistakes.

When the teacher says, “this is easy,” students may think,

  • “Everyone else understands and I don’t. I can’t do this!”
  • Students may just give up and surrender the mathematics to their classmates.
  • Students may shut down.

Instead, you and your students could say the following:

  • “I think I can do this.”
  • “I have an idea I want to try.”
  • “I’ve seen this kind of problem before.”

Tracy Zager wrote a short article, “This is easy”: The Little Phrase That Causes Big Problems” that can give you more information. Read Tracy Zager’s article here.

Using “Worksheets”

Do you want your students to memorize concepts, or do you want them to understand and apply the mathematics for different situations?

What is a “worksheet” in mathematics? It is a paper and pencil assignment when no other materials are used. A worksheet does not allow your students to use hands-on materials/manipulatives [Hover: physical objects that are used as teaching tools to engage students in the hands-on learning of mathematics]; and worksheets are many times “naked number” with no context. And a worksheet should not be used to enhance a hands-on activity.

Students need time to explore and manipulate materials in order to learn the mathematics concept. Worksheets are just a test of rote memory. Students need to develop those higher-order thinking skills, and worksheets will not allow them to do that.

One productive belief from the NCTM publication, Principles to Action (2014), states, “Students at all grade levels can benefit from the use of physical and virtual manipulative materials to provide visual models of a range of mathematical ideas.”

You may need an “activity sheet,” a “graphic organizer,” etc. as you plan your mathematics activities/lessons, but be sure to include hands-on manipulatives. Using manipulatives can

  • Provide your students a bridge between the concrete and abstract
  • Serve as models that support students’ thinking
  • Provide another representation
  • Support student engagement
  • Give students ownership of their own learning.

Adapted from “ The Top 5 Reasons for Using Manipulatives in the Classroom ”.

any task or activity for which the students have no prescribed or memorized rules or methods, nor is there a perception by students that there is a specific ‘correct’ solution method

should be intriguing and contain a level of challenge that invites speculation and hard work, and directs students to investigate important mathematical ideas and ways of thinking toward the learning

involves teaching a skill so that a student can later solve a story problem

when we teach students how to problem solve

teaching mathematics content through real contexts, problems, situations, and models

a mathematical activity where everyone in the group can begin and then work on at their own level of engagement

20 seconds to 2 minutes for students to make sense of questions

Mathematics Methods for Early Childhood Copyright © 2021 by Janet Stramel is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.

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  • Effective Teaching Strategies

Problem-Based Learning: Benefits and Risks

  • November 12, 2009
  • Maryellen Weimer, PhD

Problem-based learning, the instructional approach in which carefully constructed, open-ended problems are used by groups of students to work through content to a solution, has gained a foothold in many segments of higher education.

Originally PBL, as it’s usually called, was used in medical school and in some business curricula for majors. But now it is being used in a wide range of disciplines and with students at various educational levels. The article (reference below) from which material is about to be cited “makes a critical assessment” of how PBL is being used in the field of geography.

Much of the content is relevant to that discipline specifically, but the article does contain a useful table that summarizes the benefits and risks of PBL for students, instructors, and institutions. Material on the table is gleaned from an extensive review of the literature (all referenced in the article). Here’s some of the information contained in the table.

Benefits of Problem-Based Learning

For Students

  • It’s a student-centered approach.
  • Typically students find it more enjoyable and satisfying.
  • It encourages greater understanding.
  • Students with PBL experience rate their abilities higher.
  • PBL develops lifelong learning skills.

For Instructors

  • Class attendance increases.
  • The method affords more intrinsic reward.
  • It encourages students to spend more time studying.
  • It promotes interdisciplinarity.

For Institutions

  • It makes student learning a priority.
  • It may aid student retention.
  • It may be taken as evidence that an institution values teaching.

Risks of Problem-Based Learning

  • Prior learning experiences do not prepare students well for PBL.
  • PBL requires more time and takes away study time from other subjects.
  • It creates some anxiety because learning is messier.
  • Sometimes group dynamics issues compromise PBL effectiveness.
  • Less content knowledge may be learned.
  • Creating suitable problem scenarios is difficult.
  • It requires more prep time.
  • Students have queries about the process.
  • Group dynamics issues may require faculty intervention.
  • It raises new questions about what to assess and how.
  • It requires a change in educational philosophy for faculty who mostly lecture.
  • Faculty will need staff development and support.
  • It generally takes more instructors.
  • It works best with flexible classroom space.
  • It engenders resistance from faculty who question its efficacy.

Reference: Pawson, E., Fournier, E., Haight, M., Muniz, O., Trafford, J., and Vajoczki, S. 2006. Problem-based learning in geography: Towards a critical assessment of its purposes, benefits and risks. Journal of Geography in Higher Education 30 (1): 103–16.

Excerpted from The Teaching Professor , February 2007.

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  • Review Article
  • Open access
  • Published: 11 January 2023

The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature

  • Enwei Xu   ORCID: orcid.org/0000-0001-6424-8169 1 ,
  • Wei Wang 1 &
  • Qingxia Wang 1  

Humanities and Social Sciences Communications volume  10 , Article number:  16 ( 2023 ) Cite this article

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  • Science, technology and society

Collaborative problem-solving has been widely embraced in the classroom instruction of critical thinking, which is regarded as the core of curriculum reform based on key competencies in the field of education as well as a key competence for learners in the 21st century. However, the effectiveness of collaborative problem-solving in promoting students’ critical thinking remains uncertain. This current research presents the major findings of a meta-analysis of 36 pieces of the literature revealed in worldwide educational periodicals during the 21st century to identify the effectiveness of collaborative problem-solving in promoting students’ critical thinking and to determine, based on evidence, whether and to what extent collaborative problem solving can result in a rise or decrease in critical thinking. The findings show that (1) collaborative problem solving is an effective teaching approach to foster students’ critical thinking, with a significant overall effect size (ES = 0.82, z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]); (2) in respect to the dimensions of critical thinking, collaborative problem solving can significantly and successfully enhance students’ attitudinal tendencies (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI[0.87, 1.47]); nevertheless, it falls short in terms of improving students’ cognitive skills, having only an upper-middle impact (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI[0.58, 0.82]); and (3) the teaching type (chi 2  = 7.20, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), and learning scaffold (chi 2  = 9.03, P  < 0.01) all have an impact on critical thinking, and they can be viewed as important moderating factors that affect how critical thinking develops. On the basis of these results, recommendations are made for further study and instruction to better support students’ critical thinking in the context of collaborative problem-solving.

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Introduction.

Although critical thinking has a long history in research, the concept of critical thinking, which is regarded as an essential competence for learners in the 21st century, has recently attracted more attention from researchers and teaching practitioners (National Research Council, 2012 ). Critical thinking should be the core of curriculum reform based on key competencies in the field of education (Peng and Deng, 2017 ) because students with critical thinking can not only understand the meaning of knowledge but also effectively solve practical problems in real life even after knowledge is forgotten (Kek and Huijser, 2011 ). The definition of critical thinking is not universal (Ennis, 1989 ; Castle, 2009 ; Niu et al., 2013 ). In general, the definition of critical thinking is a self-aware and self-regulated thought process (Facione, 1990 ; Niu et al., 2013 ). It refers to the cognitive skills needed to interpret, analyze, synthesize, reason, and evaluate information as well as the attitudinal tendency to apply these abilities (Halpern, 2001 ). The view that critical thinking can be taught and learned through curriculum teaching has been widely supported by many researchers (e.g., Kuncel, 2011 ; Leng and Lu, 2020 ), leading to educators’ efforts to foster it among students. In the field of teaching practice, there are three types of courses for teaching critical thinking (Ennis, 1989 ). The first is an independent curriculum in which critical thinking is taught and cultivated without involving the knowledge of specific disciplines; the second is an integrated curriculum in which critical thinking is integrated into the teaching of other disciplines as a clear teaching goal; and the third is a mixed curriculum in which critical thinking is taught in parallel to the teaching of other disciplines for mixed teaching training. Furthermore, numerous measuring tools have been developed by researchers and educators to measure critical thinking in the context of teaching practice. These include standardized measurement tools, such as WGCTA, CCTST, CCTT, and CCTDI, which have been verified by repeated experiments and are considered effective and reliable by international scholars (Facione and Facione, 1992 ). In short, descriptions of critical thinking, including its two dimensions of attitudinal tendency and cognitive skills, different types of teaching courses, and standardized measurement tools provide a complex normative framework for understanding, teaching, and evaluating critical thinking.

Cultivating critical thinking in curriculum teaching can start with a problem, and one of the most popular critical thinking instructional approaches is problem-based learning (Liu et al., 2020 ). Duch et al. ( 2001 ) noted that problem-based learning in group collaboration is progressive active learning, which can improve students’ critical thinking and problem-solving skills. Collaborative problem-solving is the organic integration of collaborative learning and problem-based learning, which takes learners as the center of the learning process and uses problems with poor structure in real-world situations as the starting point for the learning process (Liang et al., 2017 ). Students learn the knowledge needed to solve problems in a collaborative group, reach a consensus on problems in the field, and form solutions through social cooperation methods, such as dialogue, interpretation, questioning, debate, negotiation, and reflection, thus promoting the development of learners’ domain knowledge and critical thinking (Cindy, 2004 ; Liang et al., 2017 ).

Collaborative problem-solving has been widely used in the teaching practice of critical thinking, and several studies have attempted to conduct a systematic review and meta-analysis of the empirical literature on critical thinking from various perspectives. However, little attention has been paid to the impact of collaborative problem-solving on critical thinking. Therefore, the best approach for developing and enhancing critical thinking throughout collaborative problem-solving is to examine how to implement critical thinking instruction; however, this issue is still unexplored, which means that many teachers are incapable of better instructing critical thinking (Leng and Lu, 2020 ; Niu et al., 2013 ). For example, Huber ( 2016 ) provided the meta-analysis findings of 71 publications on gaining critical thinking over various time frames in college with the aim of determining whether critical thinking was truly teachable. These authors found that learners significantly improve their critical thinking while in college and that critical thinking differs with factors such as teaching strategies, intervention duration, subject area, and teaching type. The usefulness of collaborative problem-solving in fostering students’ critical thinking, however, was not determined by this study, nor did it reveal whether there existed significant variations among the different elements. A meta-analysis of 31 pieces of educational literature was conducted by Liu et al. ( 2020 ) to assess the impact of problem-solving on college students’ critical thinking. These authors found that problem-solving could promote the development of critical thinking among college students and proposed establishing a reasonable group structure for problem-solving in a follow-up study to improve students’ critical thinking. Additionally, previous empirical studies have reached inconclusive and even contradictory conclusions about whether and to what extent collaborative problem-solving increases or decreases critical thinking levels. As an illustration, Yang et al. ( 2008 ) carried out an experiment on the integrated curriculum teaching of college students based on a web bulletin board with the goal of fostering participants’ critical thinking in the context of collaborative problem-solving. These authors’ research revealed that through sharing, debating, examining, and reflecting on various experiences and ideas, collaborative problem-solving can considerably enhance students’ critical thinking in real-life problem situations. In contrast, collaborative problem-solving had a positive impact on learners’ interaction and could improve learning interest and motivation but could not significantly improve students’ critical thinking when compared to traditional classroom teaching, according to research by Naber and Wyatt ( 2014 ) and Sendag and Odabasi ( 2009 ) on undergraduate and high school students, respectively.

The above studies show that there is inconsistency regarding the effectiveness of collaborative problem-solving in promoting students’ critical thinking. Therefore, it is essential to conduct a thorough and trustworthy review to detect and decide whether and to what degree collaborative problem-solving can result in a rise or decrease in critical thinking. Meta-analysis is a quantitative analysis approach that is utilized to examine quantitative data from various separate studies that are all focused on the same research topic. This approach characterizes the effectiveness of its impact by averaging the effect sizes of numerous qualitative studies in an effort to reduce the uncertainty brought on by independent research and produce more conclusive findings (Lipsey and Wilson, 2001 ).

This paper used a meta-analytic approach and carried out a meta-analysis to examine the effectiveness of collaborative problem-solving in promoting students’ critical thinking in order to make a contribution to both research and practice. The following research questions were addressed by this meta-analysis:

What is the overall effect size of collaborative problem-solving in promoting students’ critical thinking and its impact on the two dimensions of critical thinking (i.e., attitudinal tendency and cognitive skills)?

How are the disparities between the study conclusions impacted by various moderating variables if the impacts of various experimental designs in the included studies are heterogeneous?

This research followed the strict procedures (e.g., database searching, identification, screening, eligibility, merging, duplicate removal, and analysis of included studies) of Cooper’s ( 2010 ) proposed meta-analysis approach for examining quantitative data from various separate studies that are all focused on the same research topic. The relevant empirical research that appeared in worldwide educational periodicals within the 21st century was subjected to this meta-analysis using Rev-Man 5.4. The consistency of the data extracted separately by two researchers was tested using Cohen’s kappa coefficient, and a publication bias test and a heterogeneity test were run on the sample data to ascertain the quality of this meta-analysis.

Data sources and search strategies

There were three stages to the data collection process for this meta-analysis, as shown in Fig. 1 , which shows the number of articles included and eliminated during the selection process based on the statement and study eligibility criteria.

figure 1

This flowchart shows the number of records identified, included and excluded in the article.

First, the databases used to systematically search for relevant articles were the journal papers of the Web of Science Core Collection and the Chinese Core source journal, as well as the Chinese Social Science Citation Index (CSSCI) source journal papers included in CNKI. These databases were selected because they are credible platforms that are sources of scholarly and peer-reviewed information with advanced search tools and contain literature relevant to the subject of our topic from reliable researchers and experts. The search string with the Boolean operator used in the Web of Science was “TS = (((“critical thinking” or “ct” and “pretest” or “posttest”) or (“critical thinking” or “ct” and “control group” or “quasi experiment” or “experiment”)) and (“collaboration” or “collaborative learning” or “CSCL”) and (“problem solving” or “problem-based learning” or “PBL”))”. The research area was “Education Educational Research”, and the search period was “January 1, 2000, to December 30, 2021”. A total of 412 papers were obtained. The search string with the Boolean operator used in the CNKI was “SU = (‘critical thinking’*‘collaboration’ + ‘critical thinking’*‘collaborative learning’ + ‘critical thinking’*‘CSCL’ + ‘critical thinking’*‘problem solving’ + ‘critical thinking’*‘problem-based learning’ + ‘critical thinking’*‘PBL’ + ‘critical thinking’*‘problem oriented’) AND FT = (‘experiment’ + ‘quasi experiment’ + ‘pretest’ + ‘posttest’ + ‘empirical study’)” (translated into Chinese when searching). A total of 56 studies were found throughout the search period of “January 2000 to December 2021”. From the databases, all duplicates and retractions were eliminated before exporting the references into Endnote, a program for managing bibliographic references. In all, 466 studies were found.

Second, the studies that matched the inclusion and exclusion criteria for the meta-analysis were chosen by two researchers after they had reviewed the abstracts and titles of the gathered articles, yielding a total of 126 studies.

Third, two researchers thoroughly reviewed each included article’s whole text in accordance with the inclusion and exclusion criteria. Meanwhile, a snowball search was performed using the references and citations of the included articles to ensure complete coverage of the articles. Ultimately, 36 articles were kept.

Two researchers worked together to carry out this entire process, and a consensus rate of almost 94.7% was reached after discussion and negotiation to clarify any emerging differences.

Eligibility criteria

Since not all the retrieved studies matched the criteria for this meta-analysis, eligibility criteria for both inclusion and exclusion were developed as follows:

The publication language of the included studies was limited to English and Chinese, and the full text could be obtained. Articles that did not meet the publication language and articles not published between 2000 and 2021 were excluded.

The research design of the included studies must be empirical and quantitative studies that can assess the effect of collaborative problem-solving on the development of critical thinking. Articles that could not identify the causal mechanisms by which collaborative problem-solving affects critical thinking, such as review articles and theoretical articles, were excluded.

The research method of the included studies must feature a randomized control experiment or a quasi-experiment, or a natural experiment, which have a higher degree of internal validity with strong experimental designs and can all plausibly provide evidence that critical thinking and collaborative problem-solving are causally related. Articles with non-experimental research methods, such as purely correlational or observational studies, were excluded.

The participants of the included studies were only students in school, including K-12 students and college students. Articles in which the participants were non-school students, such as social workers or adult learners, were excluded.

The research results of the included studies must mention definite signs that may be utilized to gauge critical thinking’s impact (e.g., sample size, mean value, or standard deviation). Articles that lacked specific measurement indicators for critical thinking and could not calculate the effect size were excluded.

Data coding design

In order to perform a meta-analysis, it is necessary to collect the most important information from the articles, codify that information’s properties, and convert descriptive data into quantitative data. Therefore, this study designed a data coding template (see Table 1 ). Ultimately, 16 coding fields were retained.

The designed data-coding template consisted of three pieces of information. Basic information about the papers was included in the descriptive information: the publishing year, author, serial number, and title of the paper.

The variable information for the experimental design had three variables: the independent variable (instruction method), the dependent variable (critical thinking), and the moderating variable (learning stage, teaching type, intervention duration, learning scaffold, group size, measuring tool, and subject area). Depending on the topic of this study, the intervention strategy, as the independent variable, was coded into collaborative and non-collaborative problem-solving. The dependent variable, critical thinking, was coded as a cognitive skill and an attitudinal tendency. And seven moderating variables were created by grouping and combining the experimental design variables discovered within the 36 studies (see Table 1 ), where learning stages were encoded as higher education, high school, middle school, and primary school or lower; teaching types were encoded as mixed courses, integrated courses, and independent courses; intervention durations were encoded as 0–1 weeks, 1–4 weeks, 4–12 weeks, and more than 12 weeks; group sizes were encoded as 2–3 persons, 4–6 persons, 7–10 persons, and more than 10 persons; learning scaffolds were encoded as teacher-supported learning scaffold, technique-supported learning scaffold, and resource-supported learning scaffold; measuring tools were encoded as standardized measurement tools (e.g., WGCTA, CCTT, CCTST, and CCTDI) and self-adapting measurement tools (e.g., modified or made by researchers); and subject areas were encoded according to the specific subjects used in the 36 included studies.

The data information contained three metrics for measuring critical thinking: sample size, average value, and standard deviation. It is vital to remember that studies with various experimental designs frequently adopt various formulas to determine the effect size. And this paper used Morris’ proposed standardized mean difference (SMD) calculation formula ( 2008 , p. 369; see Supplementary Table S3 ).

Procedure for extracting and coding data

According to the data coding template (see Table 1 ), the 36 papers’ information was retrieved by two researchers, who then entered them into Excel (see Supplementary Table S1 ). The results of each study were extracted separately in the data extraction procedure if an article contained numerous studies on critical thinking, or if a study assessed different critical thinking dimensions. For instance, Tiwari et al. ( 2010 ) used four time points, which were viewed as numerous different studies, to examine the outcomes of critical thinking, and Chen ( 2013 ) included the two outcome variables of attitudinal tendency and cognitive skills, which were regarded as two studies. After discussion and negotiation during data extraction, the two researchers’ consistency test coefficients were roughly 93.27%. Supplementary Table S2 details the key characteristics of the 36 included articles with 79 effect quantities, including descriptive information (e.g., the publishing year, author, serial number, and title of the paper), variable information (e.g., independent variables, dependent variables, and moderating variables), and data information (e.g., mean values, standard deviations, and sample size). Following that, testing for publication bias and heterogeneity was done on the sample data using the Rev-Man 5.4 software, and then the test results were used to conduct a meta-analysis.

Publication bias test

When the sample of studies included in a meta-analysis does not accurately reflect the general status of research on the relevant subject, publication bias is said to be exhibited in this research. The reliability and accuracy of the meta-analysis may be impacted by publication bias. Due to this, the meta-analysis needs to check the sample data for publication bias (Stewart et al., 2006 ). A popular method to check for publication bias is the funnel plot; and it is unlikely that there will be publishing bias when the data are equally dispersed on either side of the average effect size and targeted within the higher region. The data are equally dispersed within the higher portion of the efficient zone, consistent with the funnel plot connected with this analysis (see Fig. 2 ), indicating that publication bias is unlikely in this situation.

figure 2

This funnel plot shows the result of publication bias of 79 effect quantities across 36 studies.

Heterogeneity test

To select the appropriate effect models for the meta-analysis, one might use the results of a heterogeneity test on the data effect sizes. In a meta-analysis, it is common practice to gauge the degree of data heterogeneity using the I 2 value, and I 2  ≥ 50% is typically understood to denote medium-high heterogeneity, which calls for the adoption of a random effect model; if not, a fixed effect model ought to be applied (Lipsey and Wilson, 2001 ). The findings of the heterogeneity test in this paper (see Table 2 ) revealed that I 2 was 86% and displayed significant heterogeneity ( P  < 0.01). To ensure accuracy and reliability, the overall effect size ought to be calculated utilizing the random effect model.

The analysis of the overall effect size

This meta-analysis utilized a random effect model to examine 79 effect quantities from 36 studies after eliminating heterogeneity. In accordance with Cohen’s criterion (Cohen, 1992 ), it is abundantly clear from the analysis results, which are shown in the forest plot of the overall effect (see Fig. 3 ), that the cumulative impact size of cooperative problem-solving is 0.82, which is statistically significant ( z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]), and can encourage learners to practice critical thinking.

figure 3

This forest plot shows the analysis result of the overall effect size across 36 studies.

In addition, this study examined two distinct dimensions of critical thinking to better understand the precise contributions that collaborative problem-solving makes to the growth of critical thinking. The findings (see Table 3 ) indicate that collaborative problem-solving improves cognitive skills (ES = 0.70) and attitudinal tendency (ES = 1.17), with significant intergroup differences (chi 2  = 7.95, P  < 0.01). Although collaborative problem-solving improves both dimensions of critical thinking, it is essential to point out that the improvements in students’ attitudinal tendency are much more pronounced and have a significant comprehensive effect (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI [0.87, 1.47]), whereas gains in learners’ cognitive skill are slightly improved and are just above average. (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI [0.58, 0.82]).

The analysis of moderator effect size

The whole forest plot’s 79 effect quantities underwent a two-tailed test, which revealed significant heterogeneity ( I 2  = 86%, z  = 12.78, P  < 0.01), indicating differences between various effect sizes that may have been influenced by moderating factors other than sampling error. Therefore, exploring possible moderating factors that might produce considerable heterogeneity was done using subgroup analysis, such as the learning stage, learning scaffold, teaching type, group size, duration of the intervention, measuring tool, and the subject area included in the 36 experimental designs, in order to further explore the key factors that influence critical thinking. The findings (see Table 4 ) indicate that various moderating factors have advantageous effects on critical thinking. In this situation, the subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), learning scaffold (chi 2  = 9.03, P  < 0.01), and teaching type (chi 2  = 7.20, P  < 0.05) are all significant moderators that can be applied to support the cultivation of critical thinking. However, since the learning stage and the measuring tools did not significantly differ among intergroup (chi 2  = 3.15, P  = 0.21 > 0.05, and chi 2  = 0.08, P  = 0.78 > 0.05), we are unable to explain why these two factors are crucial in supporting the cultivation of critical thinking in the context of collaborative problem-solving. These are the precise outcomes, as follows:

Various learning stages influenced critical thinking positively, without significant intergroup differences (chi 2  = 3.15, P  = 0.21 > 0.05). High school was first on the list of effect sizes (ES = 1.36, P  < 0.01), then higher education (ES = 0.78, P  < 0.01), and middle school (ES = 0.73, P  < 0.01). These results show that, despite the learning stage’s beneficial influence on cultivating learners’ critical thinking, we are unable to explain why it is essential for cultivating critical thinking in the context of collaborative problem-solving.

Different teaching types had varying degrees of positive impact on critical thinking, with significant intergroup differences (chi 2  = 7.20, P  < 0.05). The effect size was ranked as follows: mixed courses (ES = 1.34, P  < 0.01), integrated courses (ES = 0.81, P  < 0.01), and independent courses (ES = 0.27, P  < 0.01). These results indicate that the most effective approach to cultivate critical thinking utilizing collaborative problem solving is through the teaching type of mixed courses.

Various intervention durations significantly improved critical thinking, and there were significant intergroup differences (chi 2  = 12.18, P  < 0.01). The effect sizes related to this variable showed a tendency to increase with longer intervention durations. The improvement in critical thinking reached a significant level (ES = 0.85, P  < 0.01) after more than 12 weeks of training. These findings indicate that the intervention duration and critical thinking’s impact are positively correlated, with a longer intervention duration having a greater effect.

Different learning scaffolds influenced critical thinking positively, with significant intergroup differences (chi 2  = 9.03, P  < 0.01). The resource-supported learning scaffold (ES = 0.69, P  < 0.01) acquired a medium-to-higher level of impact, the technique-supported learning scaffold (ES = 0.63, P  < 0.01) also attained a medium-to-higher level of impact, and the teacher-supported learning scaffold (ES = 0.92, P  < 0.01) displayed a high level of significant impact. These results show that the learning scaffold with teacher support has the greatest impact on cultivating critical thinking.

Various group sizes influenced critical thinking positively, and the intergroup differences were statistically significant (chi 2  = 8.77, P  < 0.05). Critical thinking showed a general declining trend with increasing group size. The overall effect size of 2–3 people in this situation was the biggest (ES = 0.99, P  < 0.01), and when the group size was greater than 7 people, the improvement in critical thinking was at the lower-middle level (ES < 0.5, P  < 0.01). These results show that the impact on critical thinking is positively connected with group size, and as group size grows, so does the overall impact.

Various measuring tools influenced critical thinking positively, with significant intergroup differences (chi 2  = 0.08, P  = 0.78 > 0.05). In this situation, the self-adapting measurement tools obtained an upper-medium level of effect (ES = 0.78), whereas the complete effect size of the standardized measurement tools was the largest, achieving a significant level of effect (ES = 0.84, P  < 0.01). These results show that, despite the beneficial influence of the measuring tool on cultivating critical thinking, we are unable to explain why it is crucial in fostering the growth of critical thinking by utilizing the approach of collaborative problem-solving.

Different subject areas had a greater impact on critical thinking, and the intergroup differences were statistically significant (chi 2  = 13.36, P  < 0.05). Mathematics had the greatest overall impact, achieving a significant level of effect (ES = 1.68, P  < 0.01), followed by science (ES = 1.25, P  < 0.01) and medical science (ES = 0.87, P  < 0.01), both of which also achieved a significant level of effect. Programming technology was the least effective (ES = 0.39, P  < 0.01), only having a medium-low degree of effect compared to education (ES = 0.72, P  < 0.01) and other fields (such as language, art, and social sciences) (ES = 0.58, P  < 0.01). These results suggest that scientific fields (e.g., mathematics, science) may be the most effective subject areas for cultivating critical thinking utilizing the approach of collaborative problem-solving.

The effectiveness of collaborative problem solving with regard to teaching critical thinking

According to this meta-analysis, using collaborative problem-solving as an intervention strategy in critical thinking teaching has a considerable amount of impact on cultivating learners’ critical thinking as a whole and has a favorable promotional effect on the two dimensions of critical thinking. According to certain studies, collaborative problem solving, the most frequently used critical thinking teaching strategy in curriculum instruction can considerably enhance students’ critical thinking (e.g., Liang et al., 2017 ; Liu et al., 2020 ; Cindy, 2004 ). This meta-analysis provides convergent data support for the above research views. Thus, the findings of this meta-analysis not only effectively address the first research query regarding the overall effect of cultivating critical thinking and its impact on the two dimensions of critical thinking (i.e., attitudinal tendency and cognitive skills) utilizing the approach of collaborative problem-solving, but also enhance our confidence in cultivating critical thinking by using collaborative problem-solving intervention approach in the context of classroom teaching.

Furthermore, the associated improvements in attitudinal tendency are much stronger, but the corresponding improvements in cognitive skill are only marginally better. According to certain studies, cognitive skill differs from the attitudinal tendency in classroom instruction; the cultivation and development of the former as a key ability is a process of gradual accumulation, while the latter as an attitude is affected by the context of the teaching situation (e.g., a novel and exciting teaching approach, challenging and rewarding tasks) (Halpern, 2001 ; Wei and Hong, 2022 ). Collaborative problem-solving as a teaching approach is exciting and interesting, as well as rewarding and challenging; because it takes the learners as the focus and examines problems with poor structure in real situations, and it can inspire students to fully realize their potential for problem-solving, which will significantly improve their attitudinal tendency toward solving problems (Liu et al., 2020 ). Similar to how collaborative problem-solving influences attitudinal tendency, attitudinal tendency impacts cognitive skill when attempting to solve a problem (Liu et al., 2020 ; Zhang et al., 2022 ), and stronger attitudinal tendencies are associated with improved learning achievement and cognitive ability in students (Sison, 2008 ; Zhang et al., 2022 ). It can be seen that the two specific dimensions of critical thinking as well as critical thinking as a whole are affected by collaborative problem-solving, and this study illuminates the nuanced links between cognitive skills and attitudinal tendencies with regard to these two dimensions of critical thinking. To fully develop students’ capacity for critical thinking, future empirical research should pay closer attention to cognitive skills.

The moderating effects of collaborative problem solving with regard to teaching critical thinking

In order to further explore the key factors that influence critical thinking, exploring possible moderating effects that might produce considerable heterogeneity was done using subgroup analysis. The findings show that the moderating factors, such as the teaching type, learning stage, group size, learning scaffold, duration of the intervention, measuring tool, and the subject area included in the 36 experimental designs, could all support the cultivation of collaborative problem-solving in critical thinking. Among them, the effect size differences between the learning stage and measuring tool are not significant, which does not explain why these two factors are crucial in supporting the cultivation of critical thinking utilizing the approach of collaborative problem-solving.

In terms of the learning stage, various learning stages influenced critical thinking positively without significant intergroup differences, indicating that we are unable to explain why it is crucial in fostering the growth of critical thinking.

Although high education accounts for 70.89% of all empirical studies performed by researchers, high school may be the appropriate learning stage to foster students’ critical thinking by utilizing the approach of collaborative problem-solving since it has the largest overall effect size. This phenomenon may be related to student’s cognitive development, which needs to be further studied in follow-up research.

With regard to teaching type, mixed course teaching may be the best teaching method to cultivate students’ critical thinking. Relevant studies have shown that in the actual teaching process if students are trained in thinking methods alone, the methods they learn are isolated and divorced from subject knowledge, which is not conducive to their transfer of thinking methods; therefore, if students’ thinking is trained only in subject teaching without systematic method training, it is challenging to apply to real-world circumstances (Ruggiero, 2012 ; Hu and Liu, 2015 ). Teaching critical thinking as mixed course teaching in parallel to other subject teachings can achieve the best effect on learners’ critical thinking, and explicit critical thinking instruction is more effective than less explicit critical thinking instruction (Bensley and Spero, 2014 ).

In terms of the intervention duration, with longer intervention times, the overall effect size shows an upward tendency. Thus, the intervention duration and critical thinking’s impact are positively correlated. Critical thinking, as a key competency for students in the 21st century, is difficult to get a meaningful improvement in a brief intervention duration. Instead, it could be developed over a lengthy period of time through consistent teaching and the progressive accumulation of knowledge (Halpern, 2001 ; Hu and Liu, 2015 ). Therefore, future empirical studies ought to take these restrictions into account throughout a longer period of critical thinking instruction.

With regard to group size, a group size of 2–3 persons has the highest effect size, and the comprehensive effect size decreases with increasing group size in general. This outcome is in line with some research findings; as an example, a group composed of two to four members is most appropriate for collaborative learning (Schellens and Valcke, 2006 ). However, the meta-analysis results also indicate that once the group size exceeds 7 people, small groups cannot produce better interaction and performance than large groups. This may be because the learning scaffolds of technique support, resource support, and teacher support improve the frequency and effectiveness of interaction among group members, and a collaborative group with more members may increase the diversity of views, which is helpful to cultivate critical thinking utilizing the approach of collaborative problem-solving.

With regard to the learning scaffold, the three different kinds of learning scaffolds can all enhance critical thinking. Among them, the teacher-supported learning scaffold has the largest overall effect size, demonstrating the interdependence of effective learning scaffolds and collaborative problem-solving. This outcome is in line with some research findings; as an example, a successful strategy is to encourage learners to collaborate, come up with solutions, and develop critical thinking skills by using learning scaffolds (Reiser, 2004 ; Xu et al., 2022 ); learning scaffolds can lower task complexity and unpleasant feelings while also enticing students to engage in learning activities (Wood et al., 2006 ); learning scaffolds are designed to assist students in using learning approaches more successfully to adapt the collaborative problem-solving process, and the teacher-supported learning scaffolds have the greatest influence on critical thinking in this process because they are more targeted, informative, and timely (Xu et al., 2022 ).

With respect to the measuring tool, despite the fact that standardized measurement tools (such as the WGCTA, CCTT, and CCTST) have been acknowledged as trustworthy and effective by worldwide experts, only 54.43% of the research included in this meta-analysis adopted them for assessment, and the results indicated no intergroup differences. These results suggest that not all teaching circumstances are appropriate for measuring critical thinking using standardized measurement tools. “The measuring tools for measuring thinking ability have limits in assessing learners in educational situations and should be adapted appropriately to accurately assess the changes in learners’ critical thinking.”, according to Simpson and Courtney ( 2002 , p. 91). As a result, in order to more fully and precisely gauge how learners’ critical thinking has evolved, we must properly modify standardized measuring tools based on collaborative problem-solving learning contexts.

With regard to the subject area, the comprehensive effect size of science departments (e.g., mathematics, science, medical science) is larger than that of language arts and social sciences. Some recent international education reforms have noted that critical thinking is a basic part of scientific literacy. Students with scientific literacy can prove the rationality of their judgment according to accurate evidence and reasonable standards when they face challenges or poorly structured problems (Kyndt et al., 2013 ), which makes critical thinking crucial for developing scientific understanding and applying this understanding to practical problem solving for problems related to science, technology, and society (Yore et al., 2007 ).

Suggestions for critical thinking teaching

Other than those stated in the discussion above, the following suggestions are offered for critical thinking instruction utilizing the approach of collaborative problem-solving.

First, teachers should put a special emphasis on the two core elements, which are collaboration and problem-solving, to design real problems based on collaborative situations. This meta-analysis provides evidence to support the view that collaborative problem-solving has a strong synergistic effect on promoting students’ critical thinking. Asking questions about real situations and allowing learners to take part in critical discussions on real problems during class instruction are key ways to teach critical thinking rather than simply reading speculative articles without practice (Mulnix, 2012 ). Furthermore, the improvement of students’ critical thinking is realized through cognitive conflict with other learners in the problem situation (Yang et al., 2008 ). Consequently, it is essential for teachers to put a special emphasis on the two core elements, which are collaboration and problem-solving, and design real problems and encourage students to discuss, negotiate, and argue based on collaborative problem-solving situations.

Second, teachers should design and implement mixed courses to cultivate learners’ critical thinking, utilizing the approach of collaborative problem-solving. Critical thinking can be taught through curriculum instruction (Kuncel, 2011 ; Leng and Lu, 2020 ), with the goal of cultivating learners’ critical thinking for flexible transfer and application in real problem-solving situations. This meta-analysis shows that mixed course teaching has a highly substantial impact on the cultivation and promotion of learners’ critical thinking. Therefore, teachers should design and implement mixed course teaching with real collaborative problem-solving situations in combination with the knowledge content of specific disciplines in conventional teaching, teach methods and strategies of critical thinking based on poorly structured problems to help students master critical thinking, and provide practical activities in which students can interact with each other to develop knowledge construction and critical thinking utilizing the approach of collaborative problem-solving.

Third, teachers should be more trained in critical thinking, particularly preservice teachers, and they also should be conscious of the ways in which teachers’ support for learning scaffolds can promote critical thinking. The learning scaffold supported by teachers had the greatest impact on learners’ critical thinking, in addition to being more directive, targeted, and timely (Wood et al., 2006 ). Critical thinking can only be effectively taught when teachers recognize the significance of critical thinking for students’ growth and use the proper approaches while designing instructional activities (Forawi, 2016 ). Therefore, with the intention of enabling teachers to create learning scaffolds to cultivate learners’ critical thinking utilizing the approach of collaborative problem solving, it is essential to concentrate on the teacher-supported learning scaffolds and enhance the instruction for teaching critical thinking to teachers, especially preservice teachers.

Implications and limitations

There are certain limitations in this meta-analysis, but future research can correct them. First, the search languages were restricted to English and Chinese, so it is possible that pertinent studies that were written in other languages were overlooked, resulting in an inadequate number of articles for review. Second, these data provided by the included studies are partially missing, such as whether teachers were trained in the theory and practice of critical thinking, the average age and gender of learners, and the differences in critical thinking among learners of various ages and genders. Third, as is typical for review articles, more studies were released while this meta-analysis was being done; therefore, it had a time limit. With the development of relevant research, future studies focusing on these issues are highly relevant and needed.

Conclusions

The subject of the magnitude of collaborative problem-solving’s impact on fostering students’ critical thinking, which received scant attention from other studies, was successfully addressed by this study. The question of the effectiveness of collaborative problem-solving in promoting students’ critical thinking was addressed in this study, which addressed a topic that had gotten little attention in earlier research. The following conclusions can be made:

Regarding the results obtained, collaborative problem solving is an effective teaching approach to foster learners’ critical thinking, with a significant overall effect size (ES = 0.82, z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]). With respect to the dimensions of critical thinking, collaborative problem-solving can significantly and effectively improve students’ attitudinal tendency, and the comprehensive effect is significant (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI [0.87, 1.47]); nevertheless, it falls short in terms of improving students’ cognitive skills, having only an upper-middle impact (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI [0.58, 0.82]).

As demonstrated by both the results and the discussion, there are varying degrees of beneficial effects on students’ critical thinking from all seven moderating factors, which were found across 36 studies. In this context, the teaching type (chi 2  = 7.20, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), and learning scaffold (chi 2  = 9.03, P  < 0.01) all have a positive impact on critical thinking, and they can be viewed as important moderating factors that affect how critical thinking develops. Since the learning stage (chi 2  = 3.15, P  = 0.21 > 0.05) and measuring tools (chi 2  = 0.08, P  = 0.78 > 0.05) did not demonstrate any significant intergroup differences, we are unable to explain why these two factors are crucial in supporting the cultivation of critical thinking in the context of collaborative problem-solving.

Data availability

All data generated or analyzed during this study are included within the article and its supplementary information files, and the supplementary information files are available in the Dataverse repository: https://doi.org/10.7910/DVN/IPFJO6 .

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Acknowledgements

This research was supported by the graduate scientific research and innovation project of Xinjiang Uygur Autonomous Region named “Research on in-depth learning of high school information technology courses for the cultivation of computing thinking” (No. XJ2022G190) and the independent innovation fund project for doctoral students of the College of Educational Science of Xinjiang Normal University named “Research on project-based teaching of high school information technology courses from the perspective of discipline core literacy” (No. XJNUJKYA2003).

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Xu, E., Wang, W. & Wang, Q. The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature. Humanit Soc Sci Commun 10 , 16 (2023). https://doi.org/10.1057/s41599-023-01508-1

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Teach your kids to be brilliant problem solvers so they can shine.

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2. Ask for Advice

son asking father for advice

Ask your kids for advice when you are struggling with something. Your authenticity teaches them that it's common to make mistakes and face challenges.

When you let them know that their ideas are valued, they'll gain the confidence to attempt solving problems on their own.

3. Don't Provide The Answer—Ask More Questions

mother and young child talk together

By not providing a solution, you are helping them to strengthen their mental muscles to come up with their ideas.

At the same time, the task may be too big for them to cognitively understand. Break it down into small steps, and either offer multiple solutions from which they can choose, or ask them leading questions that help them reach the answers themselves.

4. Be Open-Minded

dad and son bonding on a beautiful day

This particular point is critical in building healthy relationships. Reliable partners can hold their values and opinions while also seeing the other's perspective. And then integrate disparate views into a solution.

Teach them to continually ask, "What is left out of my understanding here?"

High-performing teams in business strive for diversity—new points of view and fresh perspectives to allow for more creative solutions. Children need to be able to assess a problem outside of immediate, apparent details, and be open to taking risks to find a better, more innovative approach. Be willing to take on a new perspective.

5. Go Out and Play

millennial family with young children outside

It may seem counter-intuitive, but problems get solved during play according to research.

See why independent play is vital for raising empowered children here .

Have you ever banged around an idea in your head with no solution? If so, it's time to get out of your mind and out to play.

Tech companies understand this strategy (I know, I worked at one), by supplying refreshing snacks and ping pong tables and napping pods. And while they have deadlines to meet, they don't micromanage the thinking of their employees.

Offer many activities that will take your child’s mind off of the problem so they can refuel and approach things from a fresh perspective.

Let them see you fail, learn, and try again. Show your child a willingness to make mistakes. When they are solving something, as tricky as it may be, allow your child to struggle, sometimes fail and ultimately learn from experiencing consequences.

Problems are a part of life. They grow us to reach our highest potential. Every problem is there not to make your child miserable, but to lead them closer to their dreams.

Tami Green, America’s most respected life coach, has received magical endorsements by experts from Baylor University and the past president of the American Psychiatric Association. She received her coaching certification from Oprah's enchanting life coach, Dr. Martha Beck. She is a brilliant coach who has helped thousands achieve an exhilarated life through her coaching, classes, and conferences. To see more tips like these, visit her website and join her self-help community here .

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10 Ways to Teach Your Children to Be Problem Solvers

Problem-solving is vital in navigating the complexities of life and is best nurtured from a young age. Let’s explore a variety of approaches, each contributing to the development of a child’s ability to think critically and resolve challenges effectively.

Strategy 1: Modeling Problem-Solving Behavior

Parents are the first role models children observe and learn from. Demonstrating problem-solving skills in everyday life plays a crucial role in teaching children how to handle challenges.

Impact of Demonstrating Problem-Solving

  • Observational Learning: Children learn by observing their parents. When a parent faces a challenge and vocalizes their thought process, it provides a practical, real-world example of problem-solving.
  • Developing Cognitive Skills: As parents articulate their problem-solving steps, children learn to think critically and analytically. This process helps in developing their cognitive skills.

How to Model Problem-Solving

  • Think Out Loud: Parents should verbalize their thoughts when encountering a problem. For instance, if deciding between buying different products, explain the pros and cons of each option out loud.
  • Show Emotion Management: It’s beneficial to express how certain problems make you feel and how you manage these emotions. This teaches emotional regulation alongside problem-solving.
  • Involve Children in Solutions: For age-appropriate problems, involve children in the decision-making process. Ask for their opinions and discuss the potential outcomes.
  • Boosts Confidence: When children see their parents tackling problems effectively, it boosts their confidence in handling their issues.
  • Enhances Critical Thinking: This method promotes critical thinking and decision-making skills in children.
  • Prepares for Real-life Situations: Children get better prepared for real-life situations, understanding that problems are a normal part of life and can be approached logically and calmly.

Strategy 2: Encouraging Creative Play

Creative play and DIY projects are not just forms of entertainment for children; they are essential tools for developing problem-solving skills.

How Creative Play Fosters Problem-Solving

  • Stimulates Imagination: Engaging in activities like building forts, crafting, or imaginative play scenarios encourages children to think outside the box, an essential aspect of problem-solving.
  • Encourages Experimentation: Creative play often involves trial and error, teaching children that it’s okay to fail and try again, a key component of solving problems.
  • Develops Cognitive Flexibility: When children create and explore in an unstructured environment, they learn to adapt and change their approaches, which is vital in problem-solving.

DIY Projects as Learning Tools

  • Hands-On Experience: DIY projects provide hands-on opportunities for children to encounter and solve real-world problems. They learn to follow steps, use tools, and understand the process of creating something from start to finish.
  • Collaborative Problem-Solving: Working on projects with others, including parents or siblings, enhances their ability to work as a team and solve problems together.
  • Boosts Self-Efficacy: Completing a project successfully instills a sense of accomplishment and confidence in their problem-solving abilities.
  • Enhances Critical Thinking: Children learn to think critically about how to use materials and what steps to take to achieve their desired outcome.
  • Promotes Persistence: Creative play teaches persistence as children learn that not every attempt leads to immediate success.
  • Encourages Independent Thinking: These activities allow children to make decisions, fostering independent thought and decision-making skills.

Strategy 3: Systematic Problem-Solving Approach

A systematic method for problem-solving helps children approach challenges in a more organized and effective manner.

Step-by-Step Problem-Solving Method

Identify emotions:.

Begin by helping children recognize and name their emotions related to the problem (e.g., frustration, confusion). This step is crucial for emotional regulation and clear thinking.

Define the Problem:

Guide children to articulate the problem clearly. Encourage them to state the issue in their own words, which helps in understanding the challenge more deeply.

Brainstorm Solutions:

Encourage children to think of as many solutions as possible, without initially judging the ideas. This brainstorming phase fosters creativity and open-mindedness.

Evaluate Solutions:

Guide children to consider the pros and cons of each solution. Ask questions like, “What could happen if you try this?” to help them think through the outcomes.

Choose a Solution:

Encourage children to select a solution based on their evaluation. This step empowers them to make decisions and take ownership of the problem-solving process.

Implement the Solution:

Guide them in putting their chosen solution into action. This step translates their theoretical understanding into practical application.

Reflect on the Outcome:

After the solution has been implemented, discuss with children what worked well and what could be improved. This reflection helps in learning from the experience.

  • Develops Critical Thinking: This approach enhances critical thinking skills by requiring children to analyze problems and consider various solutions.
  • Encourages Independence: By following these steps, children learn to rely on their own abilities to solve problems.
  • Builds Resilience: Children learn that not every problem is solved on the first try, which builds resilience and persistence.

Strategy 4: Reading and Discussing Problem-Solving Stories

Stories and books are powerful tools for teaching problem-solving. They offer relatable scenarios where characters face and overcome challenges, providing real-life lessons in a fictional setting.

Using Stories to Teach Problem-Solving

Selecting appropriate books:.

Choose stories that focus on characters solving problems. Books like “Ladybug Girl and Bumblebee Boy” by Jacky Davis and “The Curious George Series” by Margaret and H.E. Rey are great examples where characters face and resolve dilemmas.

Discussion During Reading:

Engage children in discussions about the story. Ask questions like, “What problem is the character facing?” and “How did they solve it?” This helps children understand the problem-solving process.

Relating to Personal Experiences:

Encourage children to connect the story’s events to their own lives. Discuss how they might handle similar situations, fostering empathy and personal connection.

Encouraging Active Participation:

Have children predict outcomes or suggest alternative solutions for the characters. This engages their critical thinking and imagination.

Role-Playing:

Involve children in role-playing exercises based on the stories. Acting out different scenarios helps solidify the problem-solving methods demonstrated by the characters.

  • Enhances Comprehension: Discussing the story’s problems and solutions improves children’s comprehension and analytical skills.
  • Builds Empathy: Identifying with characters and their challenges helps develop empathy and emotional intelligence.
  • Encourages Creative Thinking: By exploring different solutions within a safe, fictional context, children can expand their creative problem-solving abilities.

Strategy 5: Promoting Autonomy and Learning from Failure

Fostering autonomy in children is a critical aspect of their development. It involves allowing them to make decisions, take risks, and, most importantly, learn from their mistakes.

Allowing Mistakes and Failures

  • Avoiding Helicopter Parenting: Overprotective or “helicopter” parenting can hinder a child’s ability to develop problem-solving skills. Allowing children to face challenges and sometimes fail teaches them resilience and self-reliance.
  • Learning Opportunities : Mistakes and failures are valuable learning opportunities. They teach children that not every attempt will be successful and that persistence is key.
  • Encouraging Risk-Taking: Encourage children to take calculated risks. This helps them learn to weigh options and make decisions based on their judgments.

Guiding Through Failures

  • Supportive Environment: Create a supportive environment where children feel safe to fail. Encourage them to try again and guide them through the process of analyzing what went wrong.
  • Constructive Feedback: Provide constructive feedback that focuses on the effort and strategy rather than the outcome. This approach helps children understand that failure is a part of the learning process.
  • Builds Problem-Solving Skills: Experiencing failure and learning to overcome it is an integral part of developing problem-solving skills.
  • Promotes Growth Mindset: It encourages a growth mindset where children understand that abilities can be developed through dedication and hard work.
  • Enhances Emotional Intelligence: Learning from failures helps children manage their emotions and cope with setbacks in a healthy manner.

Strategy 6: Utilizing Open-Ended Questions

Open-ended questions are a powerful tool in encouraging critical thinking and problem-solving in children. These questions do not have a predetermined answer, allowing children to explore their thoughts and ideas freely.

Implementing Open-Ended Questions:

  • Types of Questions: Ask questions that cannot be answered with a simple ‘yes’ or ‘no’. Examples include, “How could we solve this problem together?” or “What do you think would happen if…?”
  • Encouraging Explanation: Prompt children to explain their reasoning with questions like, “How did you come to that conclusion?” or “Can you tell me more about your thought process?”
  • Fostering Imagination: Use questions that encourage children to use their imagination, such as “What would you do if you were in this situation?” or “How would you handle this differently?”

Benefits of Open-Ended Questions:

  • Develops Problem-Solving Skills: These questions make children contemplate different aspects of a problem and potential solutions, enhancing their problem-solving abilities.
  • Enhances Communication Skills: Open-ended questions require children to articulate their thoughts clearly, improving their communication skills.
  • Builds Confidence: As children express their ideas and are heard, it boosts their self-esteem and confidence in their abilities.

Creating a Supportive Environment:

  • Active Listening: Actively listen to the child’s responses without interrupting. This shows that their thoughts and opinions are valued.
  • Non-Judgmental Responses: Respond to their answers in a non-judgmental way, encouraging them to share more freely.
  • Encourage Exploration: Encourage children to explore different answers and viewpoints, reinforcing that there are often multiple ways to approach a problem.

Strategy 7: Fostering Open-Mindedness

Teaching children to be open-minded is crucial for developing effective problem-solving skills. It involves considering various perspectives and integrating different views into solutions.

Encouraging Multiple Perspectives:

  • Understanding Different Viewpoints: Encourage children to think about how others might view a situation. Ask questions like, “What do you think someone else would do in this case?” or “Can you think of a different way to look at this problem?”
  • Empathy in Problem-Solving: Teach children to consider the feelings and perspectives of others involved in a problem. This not only helps in finding more compassionate solutions but also in building strong interpersonal skills.

Integrating Diverse Solutions:

  • Combining Ideas: Encourage children to combine different ideas to find a novel solution. This could involve brainstorming sessions where multiple solutions are discussed and combined.
  • Learning from Different Cultures: Expose children to problem-solving methods from different cultures and backgrounds. This broadens their understanding and appreciation of diverse approaches.
  • Enhances Creativity: Open-mindedness in problem-solving fosters creativity, as children learn to think outside their usual boundaries.
  • Builds Critical Thinking: Considering multiple perspectives requires children to critically evaluate each viewpoint, enhancing their critical thinking skills.
  • Promotes Tolerance and Understanding: Fostering open-mindedness helps children develop tolerance and understanding towards different ideas and cultures.

Strategy 8: Incorporating Problem-Solving into Family Culture

Integrating problem-solving into family culture involves turning everyday challenges into learning opportunities and making this practice an enjoyable part of family life.

Practical Ways to Integrate Problem-Solving:

  • Family Meetings: Regular family meetings can be an effective way to discuss and solve family issues together. It encourages collaboration and collective decision-making.
  • Shared Challenges: Involve the entire family in solving practical problems, such as planning a family vacation or budgeting for a big purchase. This teaches children the value of planning and compromise.
  • Fun Problem-Solving Activities: Incorporate games and activities that involve problem-solving skills, like puzzles, strategy games, or scavenger hunts. This makes the process fun and engaging.

Encouraging a Positive Attitude Towards Challenges:

  • Modeling Positivity: Show a positive attitude when facing challenges, demonstrating that problems are opportunities for growth and learning.
  • Celebrating Solutions: Whenever a problem is solved, whether it’s big or small, celebrate the achievement. This reinforces problem-solving as a positive and rewarding experience.
  • Fosters Teamwork: Engaging in family problem-solving activities helps in building teamwork and cooperation skills.
  • Develops Practical Life Skills: Children learn practical life skills that are essential for their future, like financial planning, time management, and organization.
  • Strengthens Family Bonds: Working together on problems strengthens family relationships and fosters a sense of unity and support.

Strategy 9: Engaging in Role-Playing Activities

Role-playing is an effective educational tool that allows children to simulate real-life situations. It provides a safe environment to practice problem-solving skills by acting out various scenarios.

Implementing Role-Playing in Problem-Solving:

  • Creating Scenarios: Develop scenarios that children are likely to encounter, such as resolving a disagreement with a friend or handling a difficult situation at school. These should be age-appropriate and relevant to their experiences.
  • Encouraging Different Perspectives: In role-playing, children can take on different roles, allowing them to see a problem from various viewpoints. This helps them understand the importance of empathy and considering multiple perspectives in problem-solving.
  • Guided Discussion: After the role-play, have a discussion about the experience. Ask questions like, “How did you feel in that role?” or “What could have been done differently to solve the problem?”
  • Enhances Communication Skills: Role-playing requires children to articulate their thoughts and feelings, improving their communication skills.
  • Builds Emotional Intelligence: By putting themselves in someone else’s shoes, children develop empathy and emotional understanding.
  • Practical Application of Skills: It allows children to apply problem-solving strategies in a controlled, low-stakes environment, helping them internalize these skills.

Variations of Role-Playing:

  • Use of Props and Costumes: Incorporating props and costumes can make the activity more engaging and realistic.
  • Incorporating Real-life Situations: Use real-life events as a basis for role-playing scenarios. This makes the exercise more relevant and practical.

Strategy 10: Encouraging Reflective Thinking

Reflective thinking is a critical component of the learning process. It involves looking back at the steps taken during problem-solving, analyzing the effectiveness of different strategies, and considering what could be improved.

Process of Reflective Thinking:

  • After-Action Review: After a problem has been addressed, encourage children to reflect on the process. Ask questions like, “What part of our solution worked well?” or “What challenges did we face, and how did we overcome them?”
  • Encouraging Honesty and Openness: Create an environment where children feel comfortable discussing both successes and failures openly. This honesty is crucial for genuine reflection and growth.
  • Focus on Learning, Not Just Outcome: Emphasize the importance of the learning process over the outcome. This approach helps children understand that the value lies not only in solving the problem but also in the lessons learned along the way.
  • Improves Problem-Solving Skills: Reflective thinking helps children understand what strategies are effective and which are not, refining their problem-solving skills over time.
  • Fosters a Growth Mindset: It promotes the idea that skills and intelligence can be developed through dedication and hard work.
  • Builds Self-Awareness: Reflecting on one’s own thought processes and decisions enhances self-awareness and personal development.

Guiding Children in Reflective Thinking:

  • Modeling Reflection: Demonstrate reflective thinking yourself. After solving a problem, talk about what you learned from the experience and what you might do differently next time.
  • Writing Journals: Encourage children to keep a journal where they can write down their thoughts about different problems they encounter and how they solved them. This can be a powerful tool for reflection.

Empowering the Next Generation: Fostering Critical Thinking and Problem-Solving at Las Vegas Day School

As we navigate a world that is increasingly complex and interconnected, equipping our children with the ability to think critically and solve problems is more important than ever. By implementing these strategies, parents and educators can provide children with the tools they need to face challenges confidently and effectively.

For families looking to further support their children’s educational journey, Las Vegas Day School (LVDS) offers an encouraging environment where these skills can be honed and developed. LVDS emphasizes a well-rounded approach to learning, where problem-solving is integrated into the curriculum, preparing students not just for academic success but for life-long resilience and adaptability. Visit LVDS to learn more about their programs and how they can support your child’s growth into a confident problem-solver and independent thinker.

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Problem-Solving Method in Teaching

The problem-solving method is a highly effective teaching strategy that is designed to help students develop critical thinking skills and problem-solving abilities . It involves providing students with real-world problems and challenges that require them to apply their knowledge, skills, and creativity to find solutions. This method encourages active learning, promotes collaboration, and allows students to take ownership of their learning.

Table of Contents

Definition of problem-solving method.

Problem-solving is a process of identifying, analyzing, and resolving problems. The problem-solving method in teaching involves providing students with real-world problems that they must solve through collaboration and critical thinking. This method encourages students to apply their knowledge and creativity to develop solutions that are effective and practical.

Meaning of Problem-Solving Method

The meaning and Definition of problem-solving are given by different Scholars. These are-

Woodworth and Marquis(1948) : Problem-solving behavior occurs in novel or difficult situations in which a solution is not obtainable by the habitual methods of applying concepts and principles derived from past experience in very similar situations.

Skinner (1968): Problem-solving is a process of overcoming difficulties that appear to interfere with the attainment of a goal. It is the procedure of making adjustments in spite of interference

Benefits of Problem-Solving Method

The problem-solving method has several benefits for both students and teachers. These benefits include:

  • Encourages active learning: The problem-solving method encourages students to actively participate in their own learning by engaging them in real-world problems that require critical thinking and collaboration
  • Promotes collaboration: Problem-solving requires students to work together to find solutions. This promotes teamwork, communication, and cooperation.
  • Builds critical thinking skills: The problem-solving method helps students develop critical thinking skills by providing them with opportunities to analyze and evaluate problems
  • Increases motivation: When students are engaged in solving real-world problems, they are more motivated to learn and apply their knowledge.
  • Enhances creativity: The problem-solving method encourages students to be creative in finding solutions to problems.

Steps in Problem-Solving Method

The problem-solving method involves several steps that teachers can use to guide their students. These steps include

  • Identifying the problem: The first step in problem-solving is identifying the problem that needs to be solved. Teachers can present students with a real-world problem or challenge that requires critical thinking and collaboration.
  • Analyzing the problem: Once the problem is identified, students should analyze it to determine its scope and underlying causes.
  • Generating solutions: After analyzing the problem, students should generate possible solutions. This step requires creativity and critical thinking.
  • Evaluating solutions: The next step is to evaluate each solution based on its effectiveness and practicality
  • Selecting the best solution: The final step is to select the best solution and implement it.

Verification of the concluded solution or Hypothesis

The solution arrived at or the conclusion drawn must be further verified by utilizing it in solving various other likewise problems. In case, the derived solution helps in solving these problems, then and only then if one is free to agree with his finding regarding the solution. The verified solution may then become a useful product of his problem-solving behavior that can be utilized in solving further problems. The above steps can be utilized in solving various problems thereby fostering creative thinking ability in an individual.

The problem-solving method is an effective teaching strategy that promotes critical thinking, creativity, and collaboration. It provides students with real-world problems that require them to apply their knowledge and skills to find solutions. By using the problem-solving method, teachers can help their students develop the skills they need to succeed in school and in life.

  • Jonassen, D. (2011). Learning to solve problems: A handbook for designing problem-solving learning environments. Routledge.
  • Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16(3), 235-266.
  • Mergendoller, J. R., Maxwell, N. L., & Bellisimo, Y. (2006). The effectiveness of problem-based instruction: A comparative study of instructional methods and student characteristics. Interdisciplinary Journal of Problem-based Learning, 1(2), 49-69.
  • Richey, R. C., Klein, J. D., & Tracey, M. W. (2011). The instructional design knowledge base: Theory, research, and practice. Routledge.
  • Savery, J. R., & Duffy, T. M. (2001). Problem-based learning: An instructional model and its constructivist framework. CRLT Technical Report No. 16-01, University of Michigan. Wojcikowski, J. (2013). Solving real-world problems through problem-based learning. College Teaching, 61(4), 153-156

Micro Teaching Skills

Benefits of Problem-Solving in the K-12 Classroom

Posted October 5, 2022 by Miranda Marshall

benefits of teaching problem solving

From solving complex algebra problems to investigating scientific theories, to making inferences about written texts, problem-solving is central to every subject explored in school. Even beyond the classroom, problem-solving is ranked among the most important skills for students to demonstrate on their resumes, with 82.9% of employers considering it a highly valued attribute. On an even broader scale, students who learn how to apply their problem-solving skills to the issues they notice in their communities – or even globally –  have the tools they need to change the future and leave a lasting impact on the world around them.

Problem-solving can be taught in any content area and can even combine cross-curricular concepts to connect learning from all subjects. On top of building transferrable skills for higher education and beyond, read on to learn more about five amazing benefits students will gain from the inclusion of problem-based learning in their education:

  • Problem-solving is inherently student-centered.

Student-centered learning refers to methods of teaching that recognize and cater to students’ individual needs. Students learn at varying paces, have their own unique strengths, and even further, have their own interests and motivations – and a student-centered approach recognizes this diversity within classrooms by giving students some degree of control over their learning and making them active participants in the learning process.

Incorporating problem-solving into your curriculum is a great way to make learning more student-centered, as it requires students to engage with topics by asking questions and thinking critically about explanations and solutions, rather than expecting them to absorb information in a lecture format or through wrote memorization.

  • Increases confidence and achievement across all school subjects.

As with any skill, the more students practice problem-solving, the more comfortable they become with the type of critical and analytical thinking that will carry over into other areas of their academic careers. By learning how to approach concepts they are unfamiliar with or questions they do not know the answers to, students develop a greater sense of self-confidence in their ability to apply problem-solving techniques to other subject areas, and even outside of school in their day-to-day lives.

The goal in teaching problem-solving is for it to become second nature, and for students to routinely express their curiosity, explore innovative solutions, and analyze the world around them to draw their own conclusions.

  • Encourages collaboration and teamwork.

Since problem-solving often involves working cooperatively in teams, students build a number of important interpersonal skills alongside problem-solving skills. Effective teamwork requires clear communication, a sense of personal responsibility, empathy and understanding for teammates, and goal setting and organization – all of which are important throughout higher education and in the workplace as well.

  • Increases metacognitive skills.

Metacognition is often described as “thinking about thinking” because it refers to a person’s ability to analyze and understand their own thought processes. When making decisions, metacognition allows problem-solvers to consider the outcomes of multiple plans of action and determine which one will yield the best results.

Higher metacognitive skills have also widely been linked to improved learning outcomes and improved studying strategies. Metacognitive students are able to reflect on their learning experiences to understand themselves and the world around them better.

  • Helps with long-term knowledge retention.

Students who learn problem-solving skills may see an improved ability to retain and recall information. Specifically, being asked to explain how they reached their conclusions at the time of learning, by sharing their ideas and facts they have researched, helps reinforce their understanding of the subject matter.

Problem-solving scenarios in which students participate in small-group discussions can be especially beneficial, as this discussion gives students the opportunity to both ask and answer questions about the new concepts they’re exploring.

At all grade levels, students can see tremendous gains in their academic performance and emotional intelligence when problem-solving is thoughtfully planned into their learning.

Interested in helping your students build problem-solving skills, but aren’t sure where to start? Future Problem Solving Problem International (FPSPI) is an amazing academic competition for students of all ages, all around the world, that includes helpful resources for educators to implement in their own classrooms!

Learn more about this year’s competition season from this recorded webinar:    https://youtu.be/AbeKQ8_Sm8U and/or email [email protected] to get started!

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Real-world and active – the benefits of problem-based learning

Real-world and active – the benefits of problem-based learning

This is an edited version of an article that was originally published in the March 2011 print edition of Teacher .

Do you ever ask yourself, when you’re teaching, how much are my students taking in; is there a better way for them to learn the same material; are they really learning to think for themselves and developing skills that will be useful later in life?

It was the pursuit of deep learning, beyond absorbing and regurgitating information, that led to the development of problem-based learning in educational settings. Its basic rationale is to develop skills for solving real-life problems.

In approach, it moves away from traditional ‘facts-based’ teaching.

In essence, problem-based learning involves giving groups of students an unstructured problem with little other information. They are expected to produce and justify a solution in the time available. This requires students to work together, listen to opinions, collect information and consider different possibilities.

The problem is designed to engage the students, allowing them to set parameters and investigate within these. Thus the learning is self-directed, and the role of the teacher changes significantly from a knowledge provider to a coach or guide.

Key benefits

By introducing problem-based learning to secondary education we can foster analytical thinking skills in our students. The key benefit of problem-based learning is that it develops students who are able to collaborate, solve problems, think clearly and connect prior knowledge to a problem.

Don Margetson, quoted in Hildebrand, Mulcahy, & Wilks (2001) concludes that problem-based learning encourages students to be ‘open minded, reflective, critical’ and to ‘undertake active learning.’ It gives them an opportunity to make what they learn meaningful and to develop strategies they will be able to use to solve problems in the future, irrespective of subject matter.

Higher-order thinking skills

Higher-order thinking skills should be taught as part of any curriculum. Typically, students view learning as remembering facts, terms and definitions, but it’s actually the case that problem-based learning builds their skills in doing that because it teaches students to develop thinking skills such as the ability to evaluate, generalise, hypothesise, synthesise and analyse information rather than simply recall it.

Collaboration

In all aspects of life after school or university, individuals are required to work in teams. Working in groups requires fundamental skills such as listening, cooperating, negotiating and communicating. Problem-based learning requires students to work in small teams, learning to work together effectively to complete a specific task.

Self-directed learning

We inhabit a technologically evolving world in which individuals are responsible for their own learning, if only in order to keep up with new developments. The knowledge that professionals require in the workplace is vast and continually changing, especially in the area of technology. That’s why students need not only to be able to find relevant information, but also to be able to analyse and evaluate it.

Put simply, they need to learn how to learn in order to be self-directed learners. Problem-based learning using authentic assessment helps them to do that by providing the opportunity to learn skills that can be directly applied to other environments, including the workplace.

Setting up and implementing problem-based learning

Designing a good problem

If a problem is to be tackled successfully by students, you need to spend time designing a good problem that will engage them. The problem must be real, to enable students to make connections between previous experiences and the problem at hand.

The problem must be structured so that students will cover the required content and develop problem-solving skills at the same time. It should also be sufficiently open-ended so students have the flexibility to make findings and build their own ideas into the solution.

A well-designed problem should lead to students to pose more questions that will help them solve the problem.

When I first introduced problem-based learning into my classes on human biology, having taught about the various body systems for almost 10 years, I used the simple question: How does a cell in your big toe stay alive? My hypothesis was that this question would stimulate my students to think about fundamentals like the requirements of a cell in your big toe and how these requirements get to the cell.

Problem-based learning gives students ownership of the learning because they themselves design the learning activities they’ll need to carry out to solve the problem. That’s why it has to be a real problem. It has to be something in which your students are interested and want to solve.

Establishing groups

Students in the class need to be split into small groups. The ideal group size is probably three or four students. This size allows each member to voice opinions and contribute to the group.

Students can be grouped in numerous ways, but remember you, the teacher, know your students best, so the way you group is really up to you.

Presenting the problem

The problem needs to be presented to the students in a stimulating manner, preferably one that provokes a response. You might present the problem as a short scenario or by drawing on a journal article.

With groups established and the problem presented, you need to create an environment where your students can learn effectively.

Effective learning environments and the role of the teacher

The teacher in an effective problem-based learning environment needs to act as a facilitator, be a role model, model questioning and support and encourage the students.

Your role is to encourage your students to develop thinking skills and to direct their thinking, which is not the same as providing them with the knowledge to solve the problem, but more to do with scaffolding their thinking.

You can model questioning by asking types of questions that will lead to a greater understanding of the problem. Robin Fogarty, in Problem-Based Learning, suggests students create a KND chart or list where they write down:

  • what they know
  • what they need to know, and
  • what they don’t know.

By showing your students the types of questions they need to ask in order to begin solving their problem you can build their confidence to become more independent and self-directed learners.

Your role is also to model thinking. This is as simple as thinking aloud to demonstrate behaviour to do with evaluating, generalising, hypothesising, synthesising and analysing. Your role, further, is to model reflective thinking, to encourage your students to reflect on their learning methods as well as the content they’ve learnt.

There’s a useful model developed by Hildebrand, Mulcahy and Wilks (2001) for teachers which incorporates problem-based learning theory, which involves three phases:

Phase 1: encountering the problem;

Phase 2: ‘doing it’, and;

Phase 3: drawing it together.

The first phase requires students to brainstorm using concept maps and mind maps. Here, students should develop a series of questions that will help them find out what they already know and what they need to know. In the second phase the students move into researching the problem and trying to collect information they need to solve the problem. Finally, students sort through the information gathered and discuss with their group the outcomes and possible solutions to the problem.

This is an ideal framework for teachers to use as they begin implementing problem-based learning into their teaching and learning with their students, as the students will need much guidance. As the students become experienced with problem-based learning, they should be able to independently determine the direction they take and be less reliant on such a framework.

Fogarty, R. (1997). Problem-Based Learning: Other curriculum models for the multiple intelligences classroom. Melbourne: Hawker Brownlow Education.

Hildebrand, G., Mulcahy, D., & Wilks, S. (2001). Learning to teach through PBL: Process and progress. Australian Teacher Education Association Conference: Teacher Education, Change of Heart, Mind and Action. Melbourne, (24-26 September).

This is an edited version of an article that was originally published in the March 2011 print edition of Teacher. The author biography remains unchanged and may not be accurate at this point in time.

Related articles

Teaching thinking skills in schools

What is problem solving and why is it important

benefits of teaching problem solving

By Wayne Stottler , Kepner-Tregoe

  • Problem Solving & Decision Making Over time, developing and refining problem solving skills provides the ability to solve increasingly complex problems Learn More

For over 60 years, Kepner-Tregoe has been helping companies across industries and geographies to develop and mature their problem-solving capabilities through KT’s industry leading approach to training and the implementation of best practice processes. Considering that problem solving is a part of almost every person’s daily life (both at home and in the workplace), it is surprising how often we are asked to explain what problem solving is and why it is important.

Problem solving is at the core of human evolution. It is the methods we use to understand what is happening in our environment, identify things we want to change and then figure out the things that need to be done to create the desired outcome. Problem solving is the source of all new inventions, social and cultural evolution, and the basis for market based economies. It is the basis for continuous improvement, communication and learning.

If this problem-solving thing is so important to daily life, what is it?

Problem-solving is the process of observing what is going on in your environment; identifying things that could be changed or improved; diagnosing why the current state is the way it is and the factors and forces that influence it; developing approaches and alternatives to influence change; making decisions about which alternative to select; taking action to implement the changes; and observing impact of those actions in the environment.

Each step in the problem-solving process employs skills and methods that contribute to the overall effectiveness of influencing change and determine the level of problem complexity that can be addressed. Humans learn how to solve simple problems from a very early age (learning to eat, make coordinated movements and communicate) – and as a person goes through life problem-solving skills are refined, matured and become more sophisticated (enabling them to solve more difficult problems).

Problem-solving is important both to individuals and organizations because it enables us to exert control over our environment.

Fixing things that are broken

Some things wear out and break over time, others are flawed from day-1. Personal and business environments are full of things, activities, interactions and processes that are broken or not operating in the way they are desired to work. Problem-solving gives us a mechanism for identifying these things, figuring out why they are broken and determining a course of action to fix them.

Addressing risk

Humans have learned to identify trends and developed an awareness of cause-and-effect relationships in their environment. These skills not only enable us to fix things when they break but also anticipate what may happen in the future (based on past-experience and current events). Problem-solving can be applied to the anticipated future events and used to enable action in the present to influence the likelihood of the event occurring and/or alter the impact if the event does occur.

Improving performance

Individuals and organizations do not exist in isolation in the environment. There is a complex and ever-changing web of relationships that exist and as a result, the actions of one person will often have either a direct impact on others or an indirect impact by changing the environment dynamics. These interdependencies enable humans to work together to solve more complex problems but they also create a force that requires everyone to continuously improve performance to adapt to improvements by others. Problem-solving helps us understand relationships and implement the changes and improvements needed to compete and survive in a continually changing environment.

Seizing opportunity

Problem solving isn’t just about responding to (and fixing) the environment that exists today. It is also about innovating, creating new things and changing the environment to be more desirable. Problem-solving enables us to identify and exploit opportunities in the environment and exert (some level of) control over the future.

Problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations. Developing and refining these skills through training, practice and learning can provide the ability to solve problems more effectively and over time address problems with a greater degree of complexity and difficulty. View KT’s Problem Solving workshop known to be the gold standard for over 60 years.

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benefits of teaching problem solving

Project-based learning: definition, benefits and ideas

Learning and Development

Table of contents

Project-based learning is a teaching method in which students apply an active inquiry approach to real-world challenges and problems.

Organizing and implementing the project-based learning method of teaching includes a commitment on the part of all those involved to carry out activities in which the investigation of authentic real-world problems, the development of solutions and discussion are key. 

To provide you with an approach to this type of teaching, in this article we will take you by the hand through the subject. We will start by explaining what project-based learning is , then we will show you its benefits and end by sharing with you a series of ideas related to the subject.  

What is project-based learning?

Project-based learning or PBL is a teaching method in which the curriculum takes the student as the center of reference to develop learning through research, questions and the resolution of non-fictional situations in the real world.

The teacher’s role is one of accompaniment and does not instruct the students, but rather it is the students who face a learning process that must be open, participatory and focused on critical thinking, communication, collaboration and creativity.

PBL is such an attractive process as to encourage students to engage in it and develop their own approaches by delving deeper into answers and solutions to present a final resolute result. 

With the final presentation of the prototypes, students show the problems solved, the research processes and methods used, as well as the results obtained. 

From all this, they can receive feedback and undergo a review of the plans and the projects as if it were one in real life. 

Project-based learning: definition, benefits and ideas

9 benefits of project-based learning

Implementing a curriculum focused on project-based learning brings a number of benefits that we detail below:

Strengthens long-term retention of what is learned 

The direct research process to find solutions, measures and tools, as well as the practical involvement in the resolution of the project, make the learning more established and last longer in the student’s memory.  

On the other hand, the fact of being personally involved makes the concentration on learning to be more intense and the final performance also yields better results.

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It generates intrinsic motivation and engagement 

The student’s participation in this type of teaching is voluntary and is usually a response to a self-motivation to learn in a different way. 

Believing that this is the learning that best fits their expectations of study, leads the student to a greater commitment to the project. 

Improves technological skills

The irruption of ICTs in education has meant a wonderful discovery of the power of technology when it comes to improving learning processes. 

Among the tools to consult and use, the technological ones are especially relevant, helping the student to carry out research with a much wider range of sources consulted -always under the premise of respect for digital privacy – and with a saving of search times also to be taken into account. 

Enhances project management competence

Students are submitted to the resolutions by themselves -or in a team- of a project based on real problems. 

The achievement of the project is obtained by going through the whole management process from the beginning to the end. 

Project-based learning can be focused on large, long projects or on smaller projects. Also, as we have anticipated, it can correspond to a solo project or to collaborative projects with other students with whom to form a team. 

Encourages active and continuous learning

Tackling a possibly unfamiliar starting project involves a thorough investigation of topics and resources that perfectly symbolizes active learning . 

Students search for the resources and means that will help them create the prototype of the final project to be presented. 

Once students have discovered the benefits of research and documentation, their receptiveness to participate naturally in continuous learning processes is self-evident.

Project-based learning is a dynamic teaching method

Develops communication skills

The learner must be able to communicate with others the needs, solutions or results they are obtaining as their work progresses.

Whether we focus on communication with other team members, when the project so requires, or if we talk about a solo project, in all cases the ability to communicate the aspects mentioned in the previous paragraph are key to a successful achievement. 

If communication fails, does not exist or is erroneous, the factors associated with it, such as the correct understanding of the project, can be compromised. 

In addition to presenting their impressions and views, learners must be able to listen to the opinions of others. 

Boosts collaborative and teamwork skills

Collaborative and teamwork skills are directly related to communication and engagement, and help the learner develop relationships that are key to their academic and personal growth.

These collaborative skills end up extending and creating a development of peers, professional networks and members of the industry. 

Reinforces creativity

Students enrolled in project-based learning programs are more predisposed to think innovatively and creatively. 

This is logical when you consider that they have total freedom to explore different approaches and methods, as well as being an excellent opportunity to express their personality and talent through their work. 

Enhances critical thinking and problem solving skills 

This benefit makes sense, since the student is confronted with the pragmatic resolution of problems that are not solved in textbooks. 

We are not talking about a traditional study, in this case thinking beyond the established and collected is the key to move the project forward. 

Implementing a curriculum focused on project-based learning brings a number of benefits

10 ideas for project-based learning

There is a multitude of options that fit in the project-based learning, so we will use a battery of 10 ideas so that from them you can think of a better development of those mentioned or so that having these references you can think of your own. 

  • Design of a community garden. 
  • Create prototypes of accessories for existing machinery. 
  • Innovate recipes based on new cooking techniques.
  • Design food programs for people with specific health problems.  
  • Simulate trials on specific causes. 
  • Create sustainable city plans. 
  • Research new technological applications based on renewable energies. 
  • Create interactive digital maps of specific regions. 
  • Research specific artistic movements and create their own works inspired by these movements.
  • Create reports with different statistics to identify patterns of behavior after analyzing the data. After that, develop strategies for prevention or problem solving. 

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benefits of teaching problem solving

Why is Problem Solving Important in Child Development?

Children develop problem-solving skills at different rates; nevertheless, it is imperative that children learn to tackle problems with grit and creativity, especially as they learn to cope with setbacks or resolve conflict. Moreover, problem solving is one of the most important skills children can develop, because it prepares them to face increasingly complex academic and interpersonal issues as they mature.

Experts agree that the ability to meet challenges confidently is “a critical skill for school readiness.” In many cases, children learn by watching parents or caregivers solve problems.

This article will explore three benefits of learning problem-solving skills at school:

Improved Academic Performance

Increased Confidence

Career Readiness

The earlier children begin solving problems, the more ready they are to deal with bigger challenges as they mature.

By introducing problem solving skills in the classroom, children learn to think in terms of manageable steps as they:

1.       Identify Problems

2.       Brainstorm Possible Solutions

3.       Test Appropriate Solutions

4.       Analyze Results

By viewing problems as opportunities to grow, children broaden their understanding while building confidence.

The classroom is a safe, controlled environment, with experienced teachers who direct students as they hone problem-solving skills.

Good schools know that problem solving is important in child development. Therefore, we incorporate problem-solving exercises into a wide range of classes. Marlborough’s goal is to ignite intellectual inquiry by combining problem solving with creativity, collaboration, and communication, thereby empowering our students to become actively engaged global citizens .

We ask our middle school girls to solve various types of problems; thus, they develop flexibility. Since our students regularly practice problem solving, they dramatically improve their academic performance.

Problem-Solving Skills Improve Academic Performance

One reason that problem solving is important in child development is that it teaches discernment, helping young people distinguish what is a solvable problem.

Problem solving also develops grit, a trait that successful students routinely display.

Often, it takes an entire team to solve a problem. Since it can feel intimidating to collaborate or ask for help , the classroom is a perfect space to take risks. Together, students learn how to ask determining questions, such as:

Why is this situation so challenging?

Do I know how to address the problem?

Who can help me find a workable solution?

Students who learn how to solve problems have a deeper understanding of cause and effect. Teachers often urge students to look for patterns or make predictions. Problem-solving skills, then, boost reflective, critical thinking.

At Marlborough, we foster practical, analytical thinking through individual and collaborative school projects. Here are two middle school elective courses that show how problem-solving skills lead to academic success:

Middle School Debate teaches the art of research, deliberation, and argument. Students consider both sides of a question, discussing realistic solutions, and presenting their findings with clarity and eloquence.

Crime Scene Investigation: CSI Marlborough synthesizes biology and chemistry as students learn about forensic science. Students systematically solve problems by investigating a fictional crime, securing the crime scene, gathering detailed evidence, testing hypotheses, identifying potential suspects, then solving the case.

Problem-Solving Skills Build Confidence

Solving problems means making choices. Typically, effective problem-solving skills result in “happier, more confident, and more independent” individuals.

When children tackle problems on their own, or in a group, they become resilient. They learn to look at challenges from a fresh perspective. Therefore, they take more calculated risks.

Problem solving is important in child development because confident, capable children usually grow into confident, capable adults. <

If students practice problem solving consistently, they can develop greater situational and social awareness. Additionally, they learn to manage time and develop patience.

As students mature, problems they face become more complex:

How do I make lasting friendships?

How can I bring justice to my community?

Which career suits my abilities and interests best?

Marlborough recognizes the need for practice; no one masters problem solving overnight. Consequently, we offer a wide range of courses that teach middle school girls how to solve problems in the real world.

Here are a few middle school electives that focus on critical thinking, thus enhancing students’ confidence:

Makers’ Space 1.0 introduces middle school girls to original, school projects that they design, then create with hand and power tools.

Tinkering and Making with Technology invites girls to play with electronics + code. They learn the basics of electronics, ultimately completing an interactive and/or wearable technology project.

Drawing and Animating with Code uses text-based computer programming to teach girls to write code and create computer graphics drawings or animations.

As students develop their problem-solving skills, they learn to rely on independent, creative thinking, which enhances their sense of independence; these skills, then, prepare students for life and future careers.

Problem-Solving Skills Prepare Students for Future Careers

Children who learn how to solve problems when they are young tend to appreciate lifelong learning. They are curious, motivated, and innovative.

Employers want new hires to think imaginatively, especially since many problems that society faces today are new.

The push for school STEM programs in schools reflects this trend. For instance, coding requires students to envision a goal, then identify logical steps, and plan ahead. Coding also requires persistence, which means that students must be able to power through failure.

Notwithstanding the need for personal excellence, employers also really want team members. Taking classes that encourage group problem solving can be invaluable as students look ahead to college and careers.

As a result, our students participate in academic teams that build leadership through problem-solving activities, including these middle school elective courses:

VR and Animation is a project-based class that invites middle school girls to create a virtual reality (VR) theme park attraction with interactive artwork and digital designs.

Robotics classes allow middle school girls to design, build, program, and operate a robot. Our students also participate in the national FIRST Tech Challenge.

Marlborough is preparing girls to enter the workforce. Problem solving is important in child development because it trains young people to think independently and to collaborate. Marlborough’s graduates are ready to enter adulthood because they know how to solve problems.

Why Choose Marlborough?  

Marlborough serves girls in grades 7 through 12. We are a private, college-preparatory secondary school, conveniently located in the heart of Los Angeles, California.  

Our goal is to ignite intellectual inquiry and to build the problem-solving, creativity, collaboration, and communication skills that our students will need to innovate, invent, and lead in college and beyond.

If you want your daughter to become a curious, agile thinker, consider Marlborough. We will enhance your daughter’s problem-solving skills, helping her gain an academic edge as she builds confidence and prepares for the future.

Want to know more about the Marlborough experience? 

Contact us today

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Increasing Deep Student Engagement and Motivation

Engage students in expanding their thinking, 5 reasons why students benefit from a problem-centered math classroom.

Nov 28, 2017

Teaching mathematics with a problem-centered approach may cause some teachers to step outside of their own comfort zone, the benefits that students receive from learning in this environment are well worth the discomfort that may be felt. Take a look at the 5 benefits of a problem-centered math classroom followed by a classroom video segment below .

1. Enhanced Content Knowledge and Deeper Conceptual Understanding.

Because students are working with the mathematics and not procedures and algorithms their mathematical understanding is taken to a much deeper level . Students are creating  meaning versus fact collecting .

2. Fosters Mathematical Communication and Keep a Constant Flow of Dialog Between Teacher and Student

As students work with each other, present their findings, and answer teacher questions they are communicating both in writing and orally using mathematics vocabulary and concepts. No longer is just giving a final answer the only thing that needs to be communicated.

3. Increased Requirement for Student Ownership for the Work

In a problem-centered classroom, students are doing the work and  engaging in positive student struggle as they work at honing their problem-solving skills. No longer is the teacher struggling to make the learning easy for every student.

4. Increased Retention and Motivation

Work completed in a problem-centered classroom “reflects the way a student’s mind actually works, not a set of parlor-game procedures for manipulating students into learning. Because students are afforded some freedom in selecting a solution strategy rather than being forced into a procedure that may not make sense to them, mathematics because less daunting leading to increased motivation for many students as well as greater levels of retention because there is meaning behind the work for each student.

5. Increase in the Connections Made Between Concepts and Skills

Because prior knowledge comes into play more quickly in a problem-centered classroom, students are able to more easily see and understand the connections between multiple concepts and procedures.

Watch the following video as this middle school teacher introduces ratios and proportional relations to her students using a problem-centered approach.

benefits of teaching problem solving

At Teach n’ Kids Learn (TKL) our focus has been to create a solution based professional development for teachers in grades K-12. TKL provides clock/credit hours toward state license renewal. All of our courses provide both continuing education units (CEU) and graduate level credits

As previously stated there are countless other benefits for both the teacher and the student by transitioning to a problem-centered classroom and as more teachers make this shift they will begin to see those personal benefits for themselves.

Here are a few of our online math courses that you may want to review.

  • Developing Students’ Mathematical Habits of Mind, Grades K-12
  • Developing Mathematical Expertise in a Problem-Centered Classroom
  • Teaching Mathematics With Rigor and Results, Grades 3-10
  • Preparing Students For More Rigorous Math Assessments, Grades 3-10

Please contact us  for more information.

Tags: 21st Century Teaching , advanced learners , Common Core Math , Danielson Framework , Differentiated instruction , Education , Problem based Learning , Problem Solving , Problem-Centered Learning , reluctant learners , Student engagement , student interest , Student Learning , Teaching Math

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Benefits of Problem Solving

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Using a problem solving approach to teaching and learning maths is of value to all students and especially to those who are high achieving. Some of the reasons for using problem solving are summarised below.

  • Problem solving places the focus on the student making sense of mathematical ideas. When solving problems students are exploring the mathematics within a problem context rather than as an abstract.
  • Problem solving encourages students to believe in their ability to think mathematically. They will see that they can apply the maths that they are learning to find the solution to a problem.
  • Problem solving provides ongoing assessment information that can help teachers make instructional decisions. The discussions and recording involved in problem solving provide a rich source of information about students' mathematical knowledge and understanding.
  • Good problem solving activities provide an entry point that allows all students to be working on the same problem. The open-ended nature of problem solving allows high achieving students to extend the ideas involved to challenge their greater knowledge and understanding.
  • Problem solving develops mathematical power. It gives students the tools to apply their mathematical knowledge to solve hypothetical and real world problems.
  • Problem solving is enjoyable. It allows students to work at their own pace and make decisions about the way they explore the problem. Because the focus is not limited to a specific answer students at different ability levels can experience both challenges and successes on the same problem.
  • Problem solving better represents the nature of mathematics. Research mathematicians apply this exact approach in their work on a daily basis.
  • Once students understand a problem solving approach to maths, a single well framed mathematical problem provides the potential for an extended period of exploration.

Special Education and Inclusive Learning

Special Education and Inclusive Learning

Implementing Flexible Parenting 1

Implementing Flexible Parenting

The importance of flexibility in parenting: balancing structure with adaptability.

Parenting is a dynamic journey that requires a delicate balance between providing structure and embracing flexibility. While structure and consistency are crucial for a child’s development, adapting and being flexible is equally important. This article explores the significance of flexible parenting approaches and how to balance structure and adaptability.

The Benefits of Flexible Parenting Approaches

Flexible parenting offers numerous advantages for both children and parents. It enhances problem-solving skills by encouraging children to think creatively and find multiple solutions to challenges. When parents model adaptability, children learn that there’s often more than one way to approach a problem. This approach also improves emotional resilience, as children develop better emotional regulation skills through experiencing and observing flexibility. They learn to adapt to changes and setbacks, building resilience in the face of life’s unpredictability.

Moreover, flexible parenting fosters greater independence. By allowing children to make age-appropriate decisions and learn from their experiences, parents help cultivate self-reliance and confidence. This approach often leads to better parent-child relationships, as it promotes open communication and mutual respect. Children feel heard and valued, which strengthens the bond between parent and child.

Maintaining Structure While Being Adaptable

Balancing structure with adaptability is key to effective parenting. Start by establishing core routines that form the backbone of your family’s daily life. These might include consistent bedtimes, meal times, or weekend family activities . However, it’s important to create flexible boundaries around these routines. Set clear expectations, but be willing to adjust them based on circumstances. For example, bedtime might be strict on school nights but more relaxed on weekends or holidays.

Incorporating flexibility into rules can be achieved through the use of “if-then” statements. For instance, “If you finish your homework early, then you can have extra screen time.” This approach maintains structure while allowing for some flexibility based on the child’s actions.

Practising responsive parenting is another crucial aspect of maintaining this balance. Pay attention to your child’s needs and adjust your approach accordingly. This might mean being more structured when your child is feeling anxious or more flexible when they’re showing signs of independence. By being attuned to your child’s changing needs, you can provide the right balance of structure and flexibility at any given time.

Strategies for Teaching Children to Be Flexible

Teaching children to be flexible is an essential life skill. One of the most effective ways to do this is by modelling flexibility yourself. Demonstrate adaptability in your own life, showing your child how to adjust positively when plans change. When faced with challenges, encourage problem-solving by asking your child, “What else could we try?” This promotes flexible thinking and creativity.

Incorporating mindfulness practices can also help children develop flexibility. Teach them simple mindfulness techniques to help them stay calm and adaptable in the face of change or frustration. These might include deep breathing exercises or simple meditation practices appropriate for their age.

Engaging in flexibility-building games and activities can make learning this skill fun and interactive. Consider playing improvisation games, board games with variable rules, or engaging in creative activities that require adapting to changing circumstances. These playful approaches can help children internalize the concept of flexibility in a low-pressure environment.

Fluxx – Card Game with Ever Changing Rules to Promote Flexibility

Age range: 8 and up

Description: Fluxx is a card game where the rules constantly change as you play . Players draw and play cards, but the cards themselves can alter the rules of the game, including how many cards to draw, how many to play, and even how to win.

Flexibility benefits:

  • Teaches adaptability to changing rules
  • Encourages quick thinking and strategy adjustment
  • Promotes acceptance of unpredictability

Games to pormote flexibility Parenting

The Role of Flexibility in Developing Resilience and Problem-Solving Skills

Flexibility plays a role in developing resilience and problem-solving skills. When children learn to be flexible, they become more resilient in the face of challenges. They develop the ability to bounce back from setbacks and adapt to new situations, which is essential for emotional well-being and long-term success.

Flexible thinking is also at the heart of effective problem-solving. Children who can approach problems from multiple angles are better equipped to find solutions in various situations. This skill becomes increasingly important as they grow and face more complex challenges in school, relationships, and eventually, their careers.

Moreover, flexibility promotes creativity and innovation. When children are comfortable with change and adaptability, they’re more likely to think outside the box and come up with novel ideas. This creative thinking is valuable in many aspects of life, from academic pursuits to future professional challenges. Lastly, adaptable children often develop higher emotional intelligence. They learn to recognize and manage their emotions in various situations, a skill that serves them well throughout life. This emotional adaptability helps them navigate social situations, build stronger relationships, and maintain better mental health.

Adjusting Parenting Styles as Children Grow and Develop

As children grow and develop, parents must adjust their parenting styles accordingly. What works for a toddler won’t necessarily be effective for a teenager. Recognizing and responding to your child’s developmental stage is key to maintaining an effective parenting approach.

In early childhood, parents often need to be more hands-on and directive. As children enter school age, they can handle more responsibility and benefit from increased independence. Gradually allow them more freedom to make decisions and face the consequences of their choices within a safe environment.

Communication styles should also evolve as children mature. With younger children, simple explanations and clear directives are often most effective. As they grow, engage in more complex discussions, negotiate when appropriate, and involve them in collaborative problem-solving.

Discipline strategies should also adapt over time. While younger children may respond well to straightforward consequences, older children and teenagers often benefit from more nuanced approaches that involve discussion and mutual problem-solving. However, it’s important to always maintain clear boundaries and expectations, even as the methods of enforcement change.

Flexible Parenting Strategies for Different Age Groups

Flexible parenting strategies can vary significantly across different age groups to address the changing needs and developmental stages of children. Here are some specific examples for different age groups:

Infants and Toddlers (0-3 years)

  • Flexible feeding schedules: While maintaining a general routine, adapt to your baby’s hunger cues rather than strictly adhering to set feeding times.
  • Adjustable nap times: Be responsive to your child’s tiredness signals, allowing for flexibility in nap timing and duration.
  • Varied soothing techniques: Develop a range of soothing methods (rocking, singing, white noise) and be willing to try different approaches as your child’s preferences change.
  • Flexible playtime: Alternate between structured activities and free play, following your child’s interests and energy levels.

Preschoolers (3-5 years)

  • Adaptable bedtime routines: Maintain a consistent bedtime, but be flexible with the order or duration of pre-bed activities (bath, stories, songs) based on the child’s needs that day.
  • Flexible meal choices: Offer a variety of healthy options and allow the child to choose, promoting independence while ensuring nutritional needs are met.
  • Adjustable discipline approaches: Use a mix of time-outs, natural consequences , and positive reinforcement, adapting to what works best for your child in different situations.
  • Flexible learning activities: Blend structured learning with play-based education, adapting to your child’s learning style and interests.

School-Age Children (6-12 years)

  • Homework flexibility: Allow children to choose when and where they do homework, as long as it’s completed by a certain time.
  • Chore rotation: Implement a flexible chore system where children can choose or swap tasks, as long as all necessary work is completed.
  • Extracurricular activity choices: Allow children to explore different activities, being open to changing or dropping activities if they’re no longer enjoyable or beneficial.
  • Flexible screen time rules: Set overall limits but allow children to budget their screen time, teaching time management skills.
  • Adaptable communication styles: Adjust your communication approach based on the child’s emotional state, using a mix of discussions, written notes, or even text messages for older children.

Teenagers (13-18 years)

  • Negotiable curfews: Set a standard curfew but be willing to extend it for special occasions or demonstrated responsibility.
  • Flexible car privileges: Implement a system where additional driving privileges can be earned through responsible behavior.
  • Collaborative rule-setting: Involve teens in creating and modifying family rules, fostering a sense of ownership and responsibility.
  • Adaptable academic support: Offer varying levels of support with schoolwork, from hands-on help to more hands-off monitoring, based on the teen’s needs and preferences.
  • Flexible independence: Gradually increase freedoms and responsibilities, adjusting based on the teen’s maturity and decision-making skills.
  • Open communication channels: Be flexible in how you communicate, whether it’s through face-to-face talks, text messages, or scheduled “check-ins.”

General Strategies for All Ages

  • Emotion-based flexibility: Be willing to adjust plans or expectations when a child is experiencing strong emotions or stress.
  • Situational adaptability: Recognize that different environments (home, school, public places) may require different levels of structure and flexibility.
  • Individual-focused approach: Tailor your parenting style to each child’s personality, recognizing that siblings may require different approaches.
  • Regular reassessment: Periodically review and adjust your parenting strategies as your children grow and family dynamics change.

Balancing Consistency with Individual Needs

Every child is unique, with their own temperament, strengths, and challenges. Effective flexible parenting recognizes these individual differences and adapts accordingly, while still maintaining overall consistency in core values and expectations.

Understand each child’s unique needs and be willing to adjust your approach based on what works best for them. This might mean different bedtime routines for different children, or varying approaches to homework based on each child’s learning style.

While being flexible in approach, it’s important to maintain consistency in core family values and expectations. This provides a stable foundation from which flexibility can safely extend. Practice “flexible consistency” by maintaining the same general rules or expectations but being willing to adjust how they’re implemented based on individual needs or circumstances.

Regular family check-ins can be a valuable tool in maintaining this balance. Hold family meetings to discuss what’s working and what isn’t. Be open to adjusting family rules or routines based on these discussions, involving children in the process when appropriate.

Implementing Flexible Parenting Guide to Ensure Consistency

Flexibility in parenting is not about abandoning structure or consistency, but rather about finding a balance that promotes children’s growth, resilience, and adaptability. By maintaining core routines and values while being willing to adjust approaches based on circumstances and individual needs, parents can create an environment that supports children’s development and strengthens family bonds.

Remember, there’s no one-size-fits-all approach to parenting. The key is to remain responsive to your children’s needs, open to adjusting your strategies, and committed to providing a supportive, nurturing environment. By balancing structure with flexibility, we can help our children develop the skills they need to thrive in an ever-changing world.

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  • August 7, 2024

7 Benefits of Business Education for Effective Leadership

benefits of teaching problem solving

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In today’s competitive business landscape, effective leadership is crucial for success. While experience and intuition play significant roles, a strong foundation in business education can profoundly enhance your leadership capabilities. By investing in business education, you equip yourself with essential skills and knowledge that can transform your approach to leading a team. Here’s how business education can help you become a more effective and impactful leader.

Table of Contents

1. Leadership Theories and Practices

Studying leadership theories and practices is a key component of business education. You gain insights into different leadership styles and learn how to apply them in various situations. For leadership, a DBA degree online  can provide advanced strategic insights, enhance financial expertise, and improve decision-making skills crucial for guiding teams effectively. This knowledge helps you develop a leadership approach that fits your personality and the needs of your team, improving your ability to inspire and guide others.

2. Financial Acumen

Understanding financial statements, budgeting, and financial forecasting is crucial for effective leadership. Business education provides you with the knowledge to interpret financial data and use it to make sound decisions. With this acumen, you can better manage resources, allocate budgets efficiently, and ensure your business remains financially healthy.

  • Accurate Budget Management : Business education teaches you how to create and manage budgets effectively. You’ll learn to track expenses, forecast revenues, and adjust budgets as necessary to align with changing circumstances. This skill ensures that resources are allocated wisely, reducing waste and improving financial stability.
  • Informed Investment Decisions : Understanding financial principles allows you to evaluate investment opportunities more critically. You’ll be able to assess the potential returns and risks associated with various investments, making it easier to choose the best options for your business. This capability can lead to better financial growth and long-term success.
  • Enhanced Financial Reporting : Business education provides you with the tools to interpret financial reports and statements. You’ll learn how to analyze profit margins, cash flow, and balance sheets to gauge your company’s financial health. This insight enables you to make more informed strategic decisions and communicate financial performance to stakeholders.
  • Effective Cost Management : Learning about financial management helps you identify and control costs within your organization. You’ll gain skills in cost-benefit analysis and expense tracking, allowing you to implement cost-saving measures without compromising quality. Efficient cost management enhances profitability and supports sustainable business practices.

3. Improved Communication Skills

Effective communication is a cornerstone of successful leadership. Business education often includes training in communication strategies, negotiation techniques , and presentation skills. These lessons help you articulate your vision clearly, motivate your team, and manage conflicts constructively. Strong communication fosters a collaborative environment and builds trust within your team.

4. Enhanced Problem-Solving Abilities

Leaders frequently face complex challenges that require quick and effective solutions. Business education hones your problem-solving skills by teaching you various frameworks and methodologies for addressing issues. With a structured approach to problem-solving, you can tackle obstacles more efficiently and guide your team through difficult situations.

  • Structured Approaches : Business education introduces you to structured problem-solving frameworks, such as root cause analysis and SWOT analysis. These methods help you break down complex issues into manageable parts, allowing you to identify underlying problems rather than just symptoms. By systematically addressing challenges, you improve your ability to find effective solutions and prevent recurring issues.
  • Creative Solutions : Learning about diverse problem-solving techniques encourages creative thinking. Business education often includes case studies and simulations that require innovative approaches to overcome obstacles. This fosters a mindset that looks beyond conventional solutions and inspires you to explore new and unconventional methods for tackling problems.
  • Data-Driven Decisions : You’ll gain skills in analyzing data to make informed decisions. Business education emphasizes the importance of using quantitative and qualitative data to guide problem-solving efforts. By leveraging data, you can evaluate potential solutions more accurately and make decisions that are grounded in evidence rather than intuition alone.
  • Team Collaboration : Effective problem-solving often involves working with others. Business education teaches you how to facilitate team discussions, delegate tasks, and integrate diverse perspectives. This collaborative approach enhances your ability to harness the collective expertise of your team, leading to more comprehensive and effective problem resolution.

5. Strategic Thinking

Business education equips you with the ability to think strategically. You learn to analyze market trends, understand competitive dynamics, and identify growth opportunities. This strategic mindset enables you to set long-term goals and craft plans that align with your organization’s vision. As a leader, strategic thinking helps you make informed decisions that drive your business forward.

6. Networking Opportunities

Business education provides valuable networking opportunities with peers, professors, and industry professionals. Building a strong professional network  can open doors to new business opportunities, partnerships, and mentorships. These connections can offer support, share insights, and help you navigate the challenges of leadership more effectively.

  • Access to Industry Experts : Business programs often feature guest speakers and industry experts who share their experiences and knowledge. Engaging with these professionals gives you insights into current industry trends and best practices. Building relationships with these experts can provide you with valuable advice and potential opportunities for collaboration or mentorship.
  • Peer Connections : Your classmates in a business program come from diverse backgrounds and industries, offering a broad range of perspectives and experiences. These connections can lead to future partnerships, collaborations, and even lifelong friendships. Networking with peers also allows you to share challenges and solutions, enriching your understanding and approach to leadership.
  • Alumni Networks : Many business schools have active alumni networks that offer continued support long after graduation. These networks often provide access to exclusive events, job opportunities, and professional development resources. Leveraging these connections can help you stay updated on industry trends and connect with potential mentors or business partners.
  • Collaborative Projects : Business education frequently includes group projects and collaborative assignments, providing practical networking experiences. Working closely with others on these projects helps you build relationships with individuals who may become valuable contacts in the future. These collaborations not only enhance your team-building skills but also expand your professional network.

7. Change Management Skills

In today’s fast-paced business environment, managing change is essential. Business education teaches you strategies for leading through change, including how to implement new initiatives and manage resistance. Developing these skills allows you to guide your team through transitions smoothly, ensuring that change is both effective and well-received.

benefits of teaching problem solving

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Business education is more than just a credential – it’s a powerful tool that enhances your leadership abilities. From strategic thinking and financial acumen to communication skills and change management, the benefits of business education are extensive. By investing in your education, you position yourself to lead more effectively, make informed decisions, and drive your organization toward success.

Related posts you might like:

  • The Impact of Effective Leadership on Business Success
  • A Simple Understanding of What Business Education Is and What It Entails
  • Top 20 Successful Women Entrepreneurs in India
  • 4 Tips for Becoming a Great Leader in the Field of Education

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COMMENTS

  1. Why Every Educator Needs to Teach Problem-Solving Skills

    Resolve Conflicts. In addition to increased social and emotional skills like self-efficacy and goal-setting, problem-solving skills teach students how to cooperate with others and work through disagreements and conflicts. Problem-solving promotes "thinking outside the box" and approaching a conflict by searching for different solutions.

  2. Teaching problem solving: Let students get 'stuck' and 'unstuck'

    Teaching problem solving: Let students get 'stuck' and 'unstuck'. This is the second in a six-part blog series on teaching 21st century skills, including problem solving , metacognition ...

  3. 5 Advantages and Disadvantages of Problem-Based ...

    Advantages of Problem-Based Learning. 1. Development of Long-Term Knowledge Retention. Students who participate in problem-based learning activities can improve their abilities to retain and recall information, according to a literature review of studies about the pedagogy.. The literature review states "elaboration of knowledge at the time of learning" -- by sharing facts and ideas ...

  4. (PDF) Problem-Based Learning: Benefits, Challenges, and ...

    Problem-based learning (PBL) is a student-centered approach that teachers use. to promote students' critical thinking or analytical skills to solve real-life or. open-ended problems in a group ...

  5. Teaching Problem-Solving Skills

    Some common problem-solving strategies are: compute; simplify; use an equation; make a model, diagram, table, or chart; or work backwards. Choose the best strategy. Help students to choose the best strategy by reminding them again what they are required to find or calculate. Be patient.

  6. Teaching problem solving

    Working on solutions. In the solution phase, one develops and then implements a coherent plan for solving the problem. As you help students with this phase, you might ask them to: identify the general model or procedure they have in mind for solving the problem. set sub-goals for solving the problem. identify necessary operations and steps.

  7. Problem based learning: a teacher's guide

    Problem-based learning (PBL) is a style of teaching that encourages students to become the drivers of their learning process. Problem-based learning involves complex learning issues from real-world problems and makes them the classroom's topic of discussion; encouraging students to understand concepts through problem-solving skills rather than ...

  8. Teaching Problem Solving

    Make students articulate their problem solving process . In a one-on-one tutoring session, ask the student to work his/her problem out loud. This slows down the thinking process, making it more accurate and allowing you to access understanding. When working with larger groups you can ask students to provide a written "two-column solution.".

  9. Problem Solving in STEM

    Problem Solving in STEM. Solving problems is a key component of many science, math, and engineering classes. If a goal of a class is for students to emerge with the ability to solve new kinds of problems or to use new problem-solving techniques, then students need numerous opportunities to develop the skills necessary to approach and answer ...

  10. Teaching Mathematics Through Problem Solving

    Teaching about problem solving begins with suggested strategies to solve a problem. For example, "draw a picture," "make a table," etc. You may see posters in teachers' classrooms of the "Problem Solving Method" such as: 1) Read the problem, 2) Devise a plan, 3) Solve the problem, and 4) Check your work. There is little or no ...

  11. Problem-Based Learning: Benefits and Risks

    Here's some of the information contained in the table. Benefits of Problem-Based Learning. For Students. It's a student-centered approach. Typically students find it more enjoyable and satisfying. It encourages greater understanding. Students with PBL experience rate their abilities higher. PBL develops lifelong learning skills.

  12. The effectiveness of collaborative problem solving in ...

    The findings show that (1) collaborative problem solving is an effective teaching approach to foster students' critical thinking, with a significant overall effect size ...

  13. The Importance of Problem Solving and How to Teach it to Kids

    1. Model Effective Problem-Solving. When you encounter a challenge, think out loud about your mental processes to solve difficulties. Showing your children how you address issues can be done numerous times a day with the tangible and intangible obstacles we all face. 2.

  14. The process of implementing problem-based learning in a teacher

    PBL has benefits for learning outcomes and the ... Citation 2017). I observed that the higher the students' learning engagement and problem-solving performance, the higher their professional knowledge in the course (Rr_20181224). ... & Shi, J. N. (2015). A cross-cultural perspective to creativity in engineering education in problem-based ...

  15. 10 Ways to Teach Your Children to Be Problem Solvers

    Modeling Positivity: Show a positive attitude when facing challenges, demonstrating that problems are opportunities for growth and learning. Celebrating Solutions: Whenever a problem is solved, whether it's big or small, celebrate the achievement. This reinforces problem-solving as a positive and rewarding experience.

  16. Benefits of Teaching through Problem Solving

    ent concepts. Thus, understanding enhances problem solving. A problem is, by definition, a situation that causes disequilib-rium and perplexity. A primary tenet of teaching through problem solving is that individuals confronted with honest-to-goodness problems are forced into a state of needing to connect what they know with the problem at hand.

  17. Problem-Solving Method In Teaching

    The problem-solving method is an effective teaching strategy that promotes critical thinking, creativity, and collaboration. It provides students with real-world problems that require them to apply their knowledge and skills to find solutions. By using the problem-solving method, teachers can help their students develop the skills they need to ...

  18. Benefits of Problem-Solving in the K-12 Classroom

    Benefits of Problem-Solving in the K-12 Classroom. From solving complex algebra problems to investigating scientific theories, to making inferences about written texts, problem-solving is central to every subject explored in school. Even beyond the classroom, problem-solving is ranked among the most important skills for students to demonstrate ...

  19. Real-world and active

    Key benefits. By introducing problem-based learning to secondary education we can foster analytical thinking skills in our students. The key benefit of problem-based learning is that it develops students who are able to collaborate, solve problems, think clearly and connect prior knowledge to a problem. Don Margetson, quoted in Hildebrand ...

  20. What is problem solving and why is it important

    Problem-solving enables us to identify and exploit opportunities in the environment and exert (some level of) control over the future. Problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations. Developing and refining these skills through training, practice and learning can ...

  21. Project-based learning: definition, benefits and ideas

    Project-based learning is a teaching method in which students apply an active inquiry approach to real-world challenges and problems. Organizing and implementing the project-based learning method of teaching includes a commitment on the part of all those involved to carry out activities in which the investigation of authentic real-world problems, the development of solutions and discussion are ...

  22. Why is Problem Solving Important in Child Development?

    Problem solving is important in child development because confident, capable children usually grow into confident, capable adults. <. If students practice problem solving consistently, they can develop greater situational and social awareness. Additionally, they learn to manage time and develop patience. As students mature, problems they face ...

  23. 5 Reasons Why Students Benefit From A Problem-Centered Math Classroom

    Take a look at the 5 benefits of a problem-centered math classroom followed by a classroom video segment below. 1. Enhanced Content Knowledge and Deeper Conceptual Understanding. ... more time-consuming path of teaching problem-solving is, "Will students rise to the occasion and meet the expectations, especially if they have been in answer ...

  24. Benefits of Problem Solving

    Problem solving develops mathematical power. It gives students the tools to apply their mathematical knowledge to solve hypothetical and real world problems. Problem solving is enjoyable. It allows students to work at their own pace and make decisions about the way they explore the problem. Because the focus is not limited to a specific answer ...

  25. The Importance of Flexible Parenting

    The Benefits of Flexible Parenting Approaches. ... It enhances problem-solving skills by encouraging children to think creatively and find multiple solutions to challenges. When parents model adaptability, children learn that there's often more than one way to approach a problem. ... Teaching children to be flexible is an essential life skill ...

  26. Explained: Importance of critical thinking, problem-solving skills in

    Future careers are no longer about domain expertise or technical skills. Rather, critical thinking and problem-solving skills in employees are on the wish list of every big organization today ...

  27. 7 Benefits of Business Education for Effective Leadership

    Business education hones your problem-solving skills by teaching you various frameworks and methodologies for addressing issues. With a structured approach to problem-solving, you can tackle obstacles more efficiently and guide your team through difficult situations. ... the benefits of business education are extensive. By investing in your ...