Notice we are going in the wrong direction! The total number of feet is decreasing!
19 | 6 | 38 | 24 | 62 |
Better! The total number of feet are increasing!
15 | 10 | 30 | 40 | 70 |
12 | 13 | 24 | 52 | 76 |
Step 4: Looking back:
Check: 12 + 13 = 25 heads
24 + 52 = 76 feet.
We have found the solution to this problem. I could use this strategy when there are a limited number of possible answers and when two items are the same but they have one characteristic that is different.
Videos to watch:
1. Click on this link to see an example of “Guess and Test”
http://www.mathstories.com/strategies.htm
2. Click on this link to see another example of Guess and Test.
http://www.mathinaction.org/problem-solving-strategies.html
Check in question 1:
Place the digits 8, 10, 11, 12, and 13 in the circles to make the sums across and vertically equal 31. (5 points)
Check in question 2:
Old McDonald has 250 chickens and goats in the barnyard. Altogether there are 760 feet . How many of each animal does he have? Make sure you use Polya’s 4 problem solving steps. (12 points)
Problem Solving Strategy 2 (Draw a Picture). Some problems are obviously about a geometric situation, and it is clear you want to draw a picture and mark down all of the given information before you try to solve it. But even for a problem that is not geometric thinking visually can help!
Videos to watch demonstrating how to use "Draw a Picture".
1. Click on this link to see an example of “Draw a Picture”
2. Click on this link to see another example of Draw a Picture.
Problem Solving Strategy 3 ( Using a variable to find the sum of a sequence.)
Gauss's strategy for sequences.
last term = fixed number ( n -1) + first term
The fix number is the the amount each term is increasing or decreasing by. "n" is the number of terms you have. You can use this formula to find the last term in the sequence or the number of terms you have in a sequence.
Ex: 2, 5, 8, ... Find the 200th term.
Last term = 3(200-1) +2
Last term is 599.
To find the sum of a sequence: sum = [(first term + last term) (number of terms)]/ 2
Sum = (2 + 599) (200) then divide by 2
Sum = 60,100
Check in question 3: (10 points)
Find the 320 th term of 7, 10, 13, 16 …
Then find the sum of the first 320 terms.
Problem Solving Strategy 4 (Working Backwards)
This is considered a strategy in many schools. If you are given an answer, and the steps that were taken to arrive at that answer, you should be able to determine the starting point.
Videos to watch demonstrating of “Working Backwards”
https://www.youtube.com/watch?v=5FFWTsMEeJw
Karen is thinking of a number. If you double it, and subtract 7, you obtain 11. What is Karen’s number?
1. We start with 11 and work backwards.
2. The opposite of subtraction is addition. We will add 7 to 11. We are now at 18.
3. The opposite of doubling something is dividing by 2. 18/2 = 9
4. This should be our answer. Looking back:
9 x 2 = 18 -7 = 11
5. We have the right answer.
Check in question 4:
Christina is thinking of a number.
If you multiply her number by 93, add 6, and divide by 3, you obtain 436. What is her number? Solve this problem by working backwards. (5 points)
Problem Solving Strategy 5 (Looking for a Pattern)
Definition: A sequence is a pattern involving an ordered arrangement of numbers.
We first need to find a pattern.
Ask yourself as you search for a pattern – are the numbers growing steadily larger? Steadily smaller? How is each number related?
Example 1: 1, 4, 7, 10, 13…
Find the next 2 numbers. The pattern is each number is increasing by 3. The next two numbers would be 16 and 19.
Example 2: 1, 4, 9, 16 … find the next 2 numbers. It looks like each successive number is increase by the next odd number. 1 + 3 = 4.
So the next number would be
25 + 11 = 36
Example 3: 10, 7, 4, 1, -2… find the next 2 numbers.
In this sequence, the numbers are decreasing by 3. So the next 2 numbers would be -2 -3 = -5
-5 – 3 = -8
Example 4: 1, 2, 4, 8 … find the next two numbers.
This example is a little bit harder. The numbers are increasing but not by a constant. Maybe a factor?
So each number is being multiplied by 2.
16 x 2 = 32
1. Click on this link to see an example of “Looking for a Pattern”
2. Click on this link to see another example of Looking for a Pattern.
Problem Solving Strategy 6 (Make a List)
Example 1 : Can perfect squares end in a 2 or a 3?
List all the squares of the numbers 1 to 20.
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400.
Now look at the number in the ones digits. Notice they are 0, 1, 4, 5, 6, or 9. Notice none of the perfect squares end in 2, 3, 7, or 8. This list suggests that perfect squares cannot end in a 2, 3, 7 or 8.
How many different amounts of money can you have in your pocket if you have only three coins including only dimes and quarters?
Quarter’s dimes
0 3 30 cents
1 2 45 cents
2 1 60 cents
3 0 75 cents
Videos demonstrating "Make a List"
Check in question 5:
How many ways can you make change for 23 cents using only pennies, nickels, and dimes? (10 points)
Problem Solving Strategy 7 (Solve a Simpler Problem)
Geometric Sequences:
How would we find the nth term?
Solve a simpler problem:
1, 3, 9, 27.
1. To get from 1 to 3 what did we do?
2. To get from 3 to 9 what did we do?
Let’s set up a table:
Term Number what did we do
Looking back: How would you find the nth term?
Find the 10 th term of the above sequence.
Let L = the tenth term
Problem Solving Strategy 8 (Process of Elimination)
This strategy can be used when there is only one possible solution.
I’m thinking of a number.
The number is odd.
It is more than 1 but less than 100.
It is greater than 20.
It is less than 5 times 7.
The sum of the digits is 7.
It is evenly divisible by 5.
a. We know it is an odd number between 1 and 100.
b. It is greater than 20 but less than 35
21, 23, 25, 27, 29, 31, 33, 35. These are the possibilities.
c. The sum of the digits is 7
21 (2+1=3) No 23 (2+3 = 5) No 25 (2 + 5= 7) Yes Using the same process we see there are no other numbers that meet this criteria. Also we notice 25 is divisible by 5. By using the strategy elimination, we have found our answer.
Check in question 6: (8 points)
Jose is thinking of a number.
The number is not odd.
The sum of the digits is divisible by 2.
The number is a multiple of 11.
It is greater than 5 times 4.
It is a multiple of 6
It is less than 7 times 8 +23
What is the number?
Click on this link for a quick review of the problem solving strategies.
https://garyhall.org.uk/maths-problem-solving-strategies.html
By Status.net Editorial Team on July 21, 2023 — 4 minutes to read
Problem solving is an important skill in any work environment: it includes the ability to identify, understand, and develop solutions to complex issues while maintaining a focus on the end goal. Evaluating this skill in employees during performance reviews can be highly beneficial for both the employee and the organization.
Questions that can help you determine an employee’s rating for problem solving skills:
Related: Best Performance Review Examples for 48 Key Skills
2000+ Performance Review Phrases: The Complete List (Performance Feedback Examples)
5 – outstanding.
Phrases examples:
“Jane consistently demonstrates outstanding problem-solving skills. She proactively identifies issues in our department and offers innovative solutions that have improved processes and productivity. Her ability to quickly adapt to unforeseen challenges and find effective resolutions is commendable and has proven invaluable to the team.”
“Sarah has demonstrated an outstanding ability in problem solving throughout the year. Her innovative solutions have significantly improved our department’s efficiency, and she consistently goes above and beyond expectations to find creative approaches to complicated issues.”
“John exceeds expectations in problem-solving. He has a strong aptitude for solving complex problems and often takes initiative in identifying and resolving issues. His ability to consider multiple perspectives and approaches before making decisions has led to valuable improvements within the team.”
“Sam consistently exceeded expectations in problem solving this year. His efficient handling of challenging issues has made a positive impact on our team, and he often takes the initiative to resolve problems before they escalate. Sam’s critical thinking ability has been a valuable asset to our organization, and we appreciate his efforts.”
“Mary meets expectations in her problem-solving abilities. She displays adequate skills when faced with challenges and is generally able to identify issues and propose viable solutions. Mary also seeks assistance when necessary to resolve difficult situations, demonstrating her willingness to collaborate and learn.”
“Sarah meets expectations in her problem-solving abilities. She demonstrates a solid understanding of problem-solving techniques and can resolve everyday issues independently. We value her perseverance when facing difficult challenges and encourage her to continue developing these skills.”
“Tom’s problem-solving skills need improvement. He struggles to find effective solutions to problems and tends to overlook critical details when evaluating situations. Tom should work on being more willing to seek help and collaborate with others to resolve issues, which will ultimately strengthen his problem-solving abilities.”
“Mark’s problem-solving skills need improvement. He often struggles to find effective solutions for complex issues and seeks assistance from others to resolve problems. We encourage Mark to build his confidence in decision-making and focus on developing his problem-solving abilities.”
“Sally’s problem-solving skills are unacceptable. She consistently fails to identify and resolve problems in a timely manner, and her lack of critical thinking skills hinders her ability to effectively solve challenges. Additionally, her attempts to resolve problems often create additional issues, resulting in a negative impact on the team’s overall performance.”
“Susan’s problem-solving performance has been unacceptable this year. She consistently demonstrates an inability to resolve basic issues and avoids taking responsibility for problem-solving tasks. Her ineffectiveness in analyzing problems has led to poor decision-making. It is crucial that Susan improve her problem-solving skills to succeed in her role.”
Jane Ng • 11 January, 2024 • 13 min read
Are you preparing for an interview where you’ll need to demonstrate your creative problem solving skills? Being able to think on your feet and discuss real examples of innovative issue resolution is a key strength many employers seek.
To get a deeper understanding of this skill and prepare for related interview questions, let’s dive into creative problem solving examples in today’s post.
From questions about approaching challenges in a methodical way to those asking you to describe an unconventional solution you proposed, we’ll cover a range of common problem solving-focused interview topics.
What is creative problem solving, benefits of having creative problem solving skills, #1. how do you approach a new problem or challenge , #2. what radical new or different ways to approach a challenge, #3. can you give an example of a time when you came up with a creative solution to a problem, #4. can you recall a time you successfully managed a crisis, #5. can you name three common barriers to creativity and how you overcome each of them, #6. have you ever had to solve a problem but didn’t have all the necessary information about it before and what have you done, #7. what do you do when it seems impossible to find the right solution to a problem, #8. how do you know when to deal with the problem yourself or ask for help , #9. how do you stay creative, tips to improve your creative problem solving skills, final thoughts, frequently asked questions, more tips with ahaslides.
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As the name implies, Creative Problem Solving is a process of creating unique and innovative solutions to problems or challenges. It requires coming up with out-of-the-box ideas instead of the traditional way of doing things. It involves a combination of thinking differently, figuring out what’s best, seeing things from different angles, and seizing new opportunities or generating ideas.
And remember, the goal of creative problem solving is to find practical, effective, and unique solutions that go beyond conventional (and sometimes risky, of course).
Need more creative problem solving examples? Continue reading!
As a candidate, having creative problem solving skills can bring several benefits, including:
In the explosive growth of generative AI world, it’s considered one of the most important soft skills for employees. Head to the next part to see problem solving interview questions with answers👇
Here are some creative problem solving examples of interview questions, along with sample answers:
This is the time when you should show the interviewer your way of doing, your way of thinking.
Example answer: “I start by gathering information and understanding the problem thoroughly. I then brainstorm potential solutions and consider which ones have the most potential. I also think about the potential risks and benefits of each solution. From there, I select the best solution and create a plan of action to implement it. I continuously evaluate the situation and make adjustments as needed until the problem is solved.”
This question is a harder version of the previous one. It requires innovative and unique solutions to a challenge. The interviewer wants to see if you can have different approaches to problem-solving. It’s important to remember that not necessarily giving the best answer but showing your ability to think creatively and generate new ideas.
Example answer: “A completely different way to approach this challenge could be to collaborate with a company or organization outside of our industry. This could provide a fresh perspective and ideas. Another approach might be to involve employees from different departments in the problem-solving process, which can lead to cross-functional solutions and bring in a wide range of ideas and perspectives and more diverse points.”
The interviewer needs more concrete proof or examples of your creative problem-solving skills. So answer the question as specifically as possible, and show them specific metrics if available.
Sample answer: “I’m running a marketing campaign, and we’re having a hard time engaging with a certain target audience. I was thinking about this from a different perspective and came up with an idea. The idea was to create a series of interactive events so that the customers could experience our products uniquely and in a fun way. The campaign was a huge success and exceeded its goals in terms of engagement and sales.”
Interviewers want to see how you handle high-pressure situations and solve problems effectively.
Example answer: “When I was working on a project, and one of the key members of the team was suddenly unavailable because of an emergency. This put the project at risk of being delayed. I quickly assessed the situation and made a plan to reassign tasks to other team members. I also communicated effectively with the client to ensure they were aware of the situation and that we were still on track to meet our deadline. Through effective crisis management, we were able to complete the project tasks on time and without any major hitches.”
This is how the interviewer gauges your perspective and sets you apart from other candidates.
Example answer: “Yes, I can identify three common barriers to creativity in problem solving. First, the fear of failure can prevent individuals from taking risks and trying new ideas. I overcome this by accepting failure as a learning opportunity and encouraging myself to experiment with new ideas.
Second, limited resources such as time and finances can reduce creativity. I overcome this by prioritizing problem-solving in my schedule and finding the best cost-effective tools and methods. Lastly, a lack of inspiration can hinder creativity. To overcome this, I expose myself to new experiences and environments, try new hobbies, travel, and surround myself with people with different perspectives. I also read about new ideas and tools, and keep a journal to record my thoughts and ideas.”
Having to deal with a “sudden” problem is a common situation you will encounter in any work environment. Employers want to know how you deal with this inconvenience reasonably and effectively.
Example answer: “ In such cases, I proactively reach out and gather information from different sources to better understand the situation. I talk to stakeholders, research online, and use my experience and knowledge to fill in any gaps. I also asked clarifying questions about the problem and what information was missing. This allows me to form a holistic view of the problem and work towards finding a solution, even when complete information is not available.”
Employers are looking for candidates problem solving, creativity, and critical thinking skills. The candidate’s answers can also reveal their problem-solving strategies, thinking ability, and resilience in the face of challenges.
Example answer: “When I have to face a problem that I can’t seem to solve, I take a multi-step approach to overcome this challenge. Firstly, I try to reframe the problem by looking at it from a different angle, which can often lead to new ideas and insights. Secondly, I reach out to my colleagues, mentors, or experts in the field for their perspectives and advice. Collaborating and brainstorming with others can result in new solutions.
Thirdly, I take a break, by stepping away from it and doing something completely different to clear my mind and gain a new perspective. Fourthly, I revisit the problem with a fresh mind and renewed focus. Fifthly, I consider alternative solutions or approaches, trying to keep an open mind and explore unconventional options. Finally, I refine the solution and test it to guarantee it meets the requirements and effectively solves the problem. This process allows me to find creative and innovative solutions, even when the problem seems difficult to solve.”
In this question, the interviewer wants to get a clearer picture of your ability to assess situations, be flexible when solving problems, and make sure you can work independently as well as in a team.
Example answer: “I would assess the situation and determine if I have the skills, knowledge, and resources needed to solve the problem effectively. If the problem is complex and beyond my ability, I will seek help from a colleague or supervisor. However, if I can afford it and deal with the problem effectively, I’ll take it on and handle it myself. However, my ultimate goal is still to find the best solution to the problem on time. “
If you’re working in creative fields, a lot of interviewer will ask this question since it’s a common problem to have “creative block” among working professionals. They would therefore want to know different methods you had done to go back to the flow.
Example answer: “I immerse myself in broad subjects to spark new connections. I read widely, observe different industries, and expose myself to art/music for perspective. I also brainstorm regularly with diverse groups because other viewpoints fuel my creativity. And I maintain a record of ideas—even far-fetched ones—because you never know where innovations may lead. An eclectic approach helps me solve problems in novel yet practical ways.”
Here are some tips to help your creative problem-solving skills:
Hopefully, this article has provided helpful creative problem solving examples and prepared you well to score points with the recruiters. If you want to improve your’s creative problem-solving skills, it’s important to embrace a growth mindset, accept failure, think creatively, and collaborate with others.
And don’t forget to be creative with AhaSlides public templates library !
When you answer the interviewer’s question, make sure to use this approach: clearly defining the problem, gathering relevant data, analyzing causes, proposing a creative solution, tracking impacts, and quantifying the results.
Defer judgment. When brainstorming ideas, don’t immediately dismiss any suggestions no matter how strange they may seem. Wild ideas can sometimes lead to breakthrough solutions.
A writer who wants to create practical and valuable content for the audience
Tips to Engage with Polls & Trivia
Life is full of challenges, but with the right tips and tricks, solving problems can become much easier.
Here’s a big list of 100 problem and solution examples to show you that with a little bit of creativity, hard work, and smart thinking, you can figure out how to fix everyday issues.
From making your day-to-day tasks easier, keeping yourself healthy, to fixing things around the house, there’s an answer for almost everything here. Think of this list as your go-to guide for solving problems. It’s here to help you find ways to deal with your challenges in ways that work best for you.
See also: Into in Tagalog: Best translation of the English word ‘Into’ in Tagalog
These are the 100 problem and solution examples that can help you solve many common problems in everyday life. Whether it’s something personal, about work, or issues at home, this list gives you simple and doable ways to make things better.
By using these tips, you can handle problems more easily, feel less stressed, and get through your day smoother. Remember, solving problems is about finding out what’s wrong, thinking of ways to fix it, and then doing something about it. With these examples, you now have a bunch of ideas on how to deal with different challenges, making life a bit easier and more enjoyable.
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Blog Business What is a Problem-Solving Flowchart & How to Make One
Written by: Danesh Ramuthi Aug 10, 2023
Problem-Solving Flowcharts, contrary to what many believe aren’t just aesthetic wonders — they’re almost like magical blueprints for troubleshooting those pesky problems that many of us face.
Flowcharts take business challenges and turn them into a navigable pathway. In this post, I will guide you on key aspects of problem-solving flowcharts such as what it is, the advantages of problem-solving flowcharts, how to create one and more.
Besides, you’ll also discover how to create problem-solving flowcharts with the help of Venngage’s Flowchart Maker.
And for those of you thinking, “I’m no designer, how can I create one?” worry not! I’ve got you covered. Just hop on Venggage’s Flowchart Templates and you’ll be charting your way to problem-solving glory in no time.
Click to jump ahead:
When to use problem-solving flowcharts, what are the advantages of flowcharts in problem-solving, what are the 7 steps of problem-solving flowcharts.
How to make a flowchart using venngage , problem-solving flowcharts faqs.
Problem-Solving Flowcharts is a graphical representation used to break down problem or process into smaller, manageable parts, identify the root causes and outline a step-by-step solution.
It helps in visually organizing information and showing the relationships between various parts of the problem.
This type of flowcharts consists of different symbols and arrows, each representing different components or steps in the problem-solving process.
By following the flow of the chart, individuals or teams can methodically approach problem, analyze different aspects of it and come to a well-informed solution.
Problem-Solving Flowcharts is a versatile tool that can be used in various scenarios. Here’s when to consider utilizing one:
Related: How to Use Fishbone Diagrams to Solve Complex Problems
Problem-solving flowcharts can offer several benefits to the users who are looking to solve a particular problem. Few advantages of flowcharts in problem solving are:
When you’re dealing with multifaceted problems or processes, words alone can make the situation seem even more tangled. Flowcharts distill these complexities into easily understandable visual elements.
By mapping out each phase or component of problem, flowcharts offer a bird’s eye view enabling individuals to grasp the bigger picture and the finer details simultaneously.
Flowcharts excel in laying out the sequence of events or actions. By indicating a clear starting point and illustrating each subsequent step, they guide users through a process or solution path methodically.
This linear representation ensures that no step is overlooked and each is executed in the right order.
Problem-solving often requires team effort and flowcharts are instrumental in fostering collaborative environments.
When a team is discussing potential solutions or trying to understand problem’s intricacies, a flowchart serves as a collective reference point.
It aids in synchronizing everyone’s understanding, minimizing miscommunications and promoting constructive discussions.
Read more about: Flowcharts Symbols and Meaning
Before anything else, it’s essential to articulate the problem or task you want to solve clearly and accurately. By understanding exactly what needs to be addressed you can ensure that subsequent steps align with the core issue.
Determine what inputs (such as data, information or resources) will be required to solve the problem and what the desired outputs or outcomes are. Identifying these factors will guide you in structuring the steps needed to reach the end goal and ensure that all necessary resources are at hand.
Break down the problem-solving process into its main steps or subtasks. This involves pinpointing the essential actions or stages necessary to reach the solution. Create a roadmap that helps in understanding how to approach the problem methodically.
In problem-solving, decisions often lead to different paths or outcomes. Using standard symbols to represent these decision points in the flowcharts allows for a clear understanding of these critical junctures. It helps visually present various scenarios and their consequences.
A well-designed flowcharts is concise but clear in its labeling. Using arrows and short, descriptive phrases to explain what happens at each step or decision point ensures that the flowcharts communicates the process without unnecessary complexity.
Creating a flowcharts is not always a one-and-done process. It may require revisions to improve its clarity, accuracy or comprehensiveness. Necessary refinement ensures that the flowcharts precisely reflects the problem-solving process and is free from errors or ambiguities.
While it’s possible to draw a flowcharts manually, using a flowcharts tool like Venngage’s Flowchart Maker and Venngage’s Flowchart Templates can make the process more efficient and flexible. These tools come with pre-designed templates and intuitive interfaces that make it easy to create, modify and share flowcharts.
Let’s have a look at 5 most common types of flowcharts that individuals and organizations often use.
A process flowcharts is a visual representation of the sequence of steps and decisions involved in executing a particular process or procedure.
It serves as a blueprint that showcases how different stages or functions are interconnected in a systematic flow and it highlights the direction of the process from its beginning to its end.
Process flowcharts are instrumental in training and onboarding, sales process , process optimization, documentation, recruitment and in any scenario where clear communication of a process is crucial.
A flowcharts infographic is a great way to showcase the process or a series of steps using a combination of graphics, icons, symbols and concise text. It aims to communicate complex information in a clear and easy-to-understand manner, making it a popular tool for conveying information, data and instructions in a visually engaging way.
For example, you can use this flowchart to illustrate a health insurance process that visually explains the steps involved from finding a provider to paying for your healthcare provider.
A circular flowcharts is used to illustrate the flow of information, goods, services or money within a closed system or process. It gets its name from its circular shape, which emphasizes the continuous and cyclical nature of the flow.
Circular flowcharts are widely used in various fields such as economics, business, engineering and process management to help visualize and understand complex systems.
In a circular flowcharts , elements are represented using various shapes and connected with arrows to indicate the direction of flow. The circular arrangement indicates that the process is ongoing and repeats itself over time.
Swimlane flowcharts , also known as cross-functional flowcharts are a specific type of flowchart that organizes the process flow into lanes or “swimlanes.”
Each lane represents a different participant or functional area involved in the process and the flowchart shows how activities or information move between these participants.
Swimlane flowcharts are particularly useful for illustrating complex processes that involve multiple stakeholders or departments.
In a swimlane flowcharts, the process is divided horizontally into lanes and each lane is labeled with the name of the department, person or role responsible for that part of the process. Vertically, the flowchart displays the sequence of steps or actions taken in the process.
Decision flowcharts, also known as decision trees or flow diagrams are graphical representations that illustrate the process of making decisions or solving problems.
They are widely used in various fields such as computer science, business mapping , engineering and problem-solving scenarios.
Decision flowcharts help break down complex decision-making processes into simple, sequential steps, making it easier to understand and follow.
A decision tree is a specialized flowchart used to visually represent the process of decision-making.
Businesses and other individuals can employ a decision tree analysis as a tool to aid in evaluating different options and the possible consequences associated with each choice.
Decision trees Infographics can be used to create a more nuanced type of flowchart that is more informative and visually appealing by combining a decision flowchart and the flowchart infographic.
Decision flowcharts are valuable tools for visualizing decision-making processes, analyzing complex problems and communicating them effectively to others.
Designing effective problem-solving flowcharts involves careful consideration of various factors to ensure clarity, accuracy and usability. Here are some best practices to create efficient and useful problem-solving flowcharts:
Creating problem-solving flowchart on Venngage is incredibly simple. All you have to do is:
Flowcharts are not the representation of problem solutions per se; rather, they are a visual representation of processes, decision-making steps and actions taken to arrive at a solution to problem.
3 Basic Structures of Flowcharts are:
A good flowchart should exhibit clarity and simplicity, using consistent symbols and labels to depict a logical sequence of steps. It should be readable, with appropriate white space to avoid clutter while eliminating ambiguity through well-defined decision criteria and paths.
Yes, flowcharts can be used for both simple and complex problem-solving scenarios. Flowcharts are versatile visual tools that can effectively represent various processes, decision-making steps and problem-solving approaches regardless of their complexity.
In both cases, flowcharts offer a systematic and visual means of organizing information, identifying potential problems and facilitating collaboration among team members.
Problem-solving flowcharts can be used in virtually any industry or domain. The versatility and effectiveness of flowcharts make them applicable to a wide range of fields such as Business and Management, Software Development and IT, Healthcare, Education, Finance, Marketing & Sales and a lot more other industries.
Problem-solving flowcharts are a valuable and versatile tool that empowers individuals and teams to tackle complex problems with clarity and efficiency.
By visually representing the step-by-step process of identifying, analyzing and resolving issues, flowcharts serve as navigational guides simplifying intricate challenges into digestible parts.
With the aid of modern tools like Venngage’s Flowchart Maker and Venngage’s Flowchart Templates , designing impactful flowcharts becomes accessible to all while revolutionizing the way problems are approached and solved.
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7 Steps to Problem-Solving is a systematic process that involves analyzing a situation, generating possible solutions, and implementing the best course of action. While different problem-solving models exist, a common approach often involves the following seven steps:
It’s important to note that these steps are not always linear and may involve iteration. Problem-solving is often an ongoing process, and feedback from the implementation and evaluation stages may lead to adjustments in the chosen solution or the identification of new issues that need to be addressed.
A high school has noticed a decline in student engagement and performance in mathematics classes over the past few years. Students seem disinterested, and there is a noticeable decrease in test scores. The traditional teaching methods are not effectively capturing students’ attention, and there’s a need for innovative solutions to rekindle interest in mathematics.
Identify the problem:.
This problem-solving approach in education involves a systematic process of identifying, analyzing, and addressing issues to enhance the learning experience for students.
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Last updated: Mar 7, 2022 • 3 min read
Fostering higher-order thinking skills (HOTS) is an important aspect of teaching students at all stages of their lives. These skills make students effective problem-solvers and form the building blocks of critical and creative thinking on a wider scale.
By Jeff Heyck-Williams, the director of curriculum and instruction for Two Rivers Public Charter School
When I visited a 5th grade class recently, the students were tackling the following problem:
If there are nine people in a room and every person shakes hands exactly once with each of the other people, how many handshakes will there be? How can you prove your answer is correct using a model or numerical explanation?
There were students on the rug modeling people with Unifix cubes. There were kids at one table vigorously shaking each other’s hand. There were kids at another table writing out a diagram with numbers. At yet another table, students were working on creating a numeric expression. What was common across this class was that all of the students were productively grappling around the problem.
On a different day, I was out at recess with a group of kindergartners who got into an argument over a vigorous game of tag. Several kids were arguing about who should be “it.” Many of them insisted that they hadn’t been tagged. They all agreed that they had a problem. With the assistance of the teacher, they walked through a process of identifying what they knew about the problem and how best to solve it. They grappled with this very real problem to come to a solution that all could agree upon.
Then just last week, I had the pleasure of watching a culminating showcase of learning for our 8th graders. They presented to their families about their project exploring the role that genetics plays in our society. Tackling the problem of how we should or should not regulate gene research and editing in the human population, students explored both the history and scientific concerns about genetics and the ethics of gene editing. Each student developed arguments about how we as a country should proceed in the burgeoning field of human genetics, which they took to Capitol Hill to share with legislators. Through the process, students read complex text to build their knowledge, identified the underlying issues and questions, and developed unique solutions to this very real problem.
Problem-solving is at the heart of each of these scenarios and is an essential set of skills our students need to develop. They need the abilities to think critically and solve challenging problems without a roadmap to solutions. At Two Rivers Public Charter School in the District of Columbia, we have found that one of the most powerful ways to build these skills in students is through the use of a common set of steps for problem-solving. These steps, when used regularly, become a flexible cognitive routine for students to apply to problems across the curriculum and their lives.
At Two Rivers, we use a fairly simple routine for problem-solving that has five basic steps. The power of this structure is that it becomes a routine that students are able to use regularly across multiple contexts. The first three steps are implemented before problem-solving. Students use one step during problem-solving. Finally, they finish with a reflective step after problem-solving.
Problem Solving from Two Rivers Public Charter School on Vimeo .
The three steps before problem-solving: We call them the K-W-I.
The “K” stands for “know” and requires students to identify what they already know about a problem. The goal in this step of the routine is two-fold. First, the student needs to analyze the problem and identify what is happening within the context of the problem. For example, in the math problem above, students identify that they know there are nine people and each person must shake hands with each other person. Second, the student needs to activate their background knowledge about that context or other similar problems. In the case of the handshake problem, students may recognize that this seems like a situation in which they will need to add or multiply.
The “W” stands for “what” a student needs to find out to solve the problem. At this point in the routine, the student always must identify the core question that is being asked in a problem or task. However, it may also include other questions that help a student access and understand a problem more deeply. For example, in addition to identifying that they need to determine how many handshakes in the math problem, students may also identify that they need to determine how many handshakes each individual person has or how to organize their work to make sure that they count the handshakes correctly.
The “I” stands for “ideas” and refers to ideas that a student brings to the table to solve a problem effectively. In this portion of the routine, students list the strategies that they will use to solve a problem. In the example from the math class, this step involved all of the different ways that students tackled the problem from Unifix cubes to creating mathematical expressions.
This KWI routine before problem-solving sets students up to actively engage in solving problems by ensuring they understand the problem and have some ideas about where to start in solving the problem. Two remaining steps are equally important during and after problem-solving.
The step that occurs during problem-solving is a metacognitive moment. We ask students to deliberately pause in their problem-solving and answer the following questions: “Is the path I’m on to solve the problem working?” and “What might I do to either stay on a productive path or readjust my approach to get on a productive path?” At this point in the process, students may hear from other students that have had a breakthrough or they may go back to their KWI to determine if they need to reconsider what they know about the problem. By naming explicitly to students that part of problem-solving is monitoring our thinking and process, we help them become more thoughtful problem-solvers.
As a final step, after students solve the problem, they evaluate both their solutions and the process that they used to arrive at those solutions. They look back to determine if their solution accurately solved the problem, and when time permits, they also consider if their path to a solution was efficient and how it compares with other students’ solutions.
The power of teaching students to use this routine is that they develop a habit of mind to analyze and tackle problems wherever they find them. This empowers students to be the problem-solvers that we know they can become.
The opinions expressed in Next Gen Learning in Action are strictly those of the author(s) and do not reflect the opinions or endorsement of Editorial Projects in Education, or any of its publications.
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The problem-solving process typically includes the following steps: Identify the issue: Recognize the problem that needs to be solved. Analyze the situation: Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present. Generate potential solutions: Brainstorm a list of possible ...
Now, it's time for some problem-solving skills examples. As we mentioned above, there are a ton of capabilities and traits that can support better problem-solving. By understanding what they are, you can showcase the right abilities during your job search. So, without further ado, here is a quick list of problem-solving skill examples: Analysis
The example interview responses are structured using the STAR method and are categorized into the top 5 key problem-solving skills recruiters look for in a candidate. 1. Analytical Thinking. Situation: In my previous role as a data analyst, our team encountered a significant drop in website traffic.
Problem-Solving Examples 1. Divergent Thinking. Divergent thinking refers to the process of coming up with multiple different answers to a single problem.It's the opposite of convergent thinking, which would involve coming up with a singular answer.. The benefit of a divergent thinking approach is that it can help us achieve blue skies thinking - it lets us generate several possible ...
Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to consider a wide range of solutions ...
Example 1: Project manager with a proven track record of solving complex operational challenges. Skilled in identifying root causes, developing innovative solutions and leading teams to successful project completion. Example 2: Detail-oriented data analyst with strong problem solving skills.
Here are some example problem solving strategies you can learn from or use to get started. Use a workshop to lead a team through a group process. Often, the first step to solving problems or organizational challenges is bringing a group together effectively. Most teams have the tools, knowledge, and expertise necessary to solve their challenges ...
6. Discovery & Action Dialogue (DAD) One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions. With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so.
To discuss the art of problem solving, I sat down in California with McKinsey senior partner Hugo Sarrazin and also with Charles Conn. Charles is a former McKinsey partner, entrepreneur, executive, and coauthor of the book Bulletproof Problem Solving: The One Skill That Changes Everything [John Wiley & Sons, 2018].
The 7 steps to problem-solving. When it comes to problem-solving there are seven key steps that you should follow: define the problem, disaggregate, prioritize problem branches, create an analysis plan, conduct analysis, synthesis, and communication. 1. Define the problem. Problem-solving begins with a clear understanding of the issue at hand.
In insight problem-solving, the cognitive processes that help you solve a problem happen outside your conscious awareness. 4. Working backward. Working backward is a problem-solving approach often ...
Problem-solving in the workplace is a complex and multifaceted skill that requires a combination of analytical thinking, creativity, and effective communication. It goes beyond simply identifying problems and extends to finding innovative solutions that address the root causes. Essential Problem-Solving Skills for the Workplace
Step 1 - Define the Problem. The definition of the problem is the first step in effective problem solving. This may appear to be a simple task, but it is actually quite difficult. This is because problems are frequently complex and multi-layered, making it easy to confuse symptoms with the underlying cause.
Problem-solving requires you to create a balance between logic and creativity. You need to use your creativity to find the cause of the issue. It also requires creativity to develop innovative solutions. Creative people bring unique perspectives and give a new direction to the company. Related: 7 Steps to Improve Your Creative Thinking Skills.
Step 1: Understanding the problem. We are given in the problem that there are 25 chickens and cows. All together there are 76 feet. Chickens have 2 feet and cows have 4 feet. We are trying to determine how many cows and how many chickens Mr. Jones has on his farm. Step 2: Devise a plan.
Creativity. Communication. Decision-making. Team-building. Problem-solving skills are important in every career at every level. As a result, effective problem-solving may also require industry or job-specific technical skills. For example, a registered nurse will need active listening and communication skills when interacting with patients but ...
1 - Unacceptable. Phrases examples: Fails to identify and resolve problems in a timely manner. Lacks critical thinking skills necessary for effective problem-solving. Often creates additional issues when attempting to resolve problems. Demonstrates a consistent inability to resolve even basic issues.
Example answer: "Yes, I can identify three common barriers to creativity in problem solving. First, the fear of failure can prevent individuals from taking risks and trying new ideas. I overcome this by accepting failure as a learning opportunity and encouraging myself to experiment with new ideas.
Think of this list as your go-to guide for solving problems. It's here to help you find ways to deal with your challenges in ways that work best for you. See also: Into in Tagalog: Best translation of the English word 'Into' in Tagalog. 100 Problem and Solution Examples. Problem: There's a leak in the kitchen sink.
Success Starts With Critical Thinking, Problem-Solving Skills. The robot lab at the University of Illinois at Urbana-Champaign's Department of Computer Science. Image: joefutrelle/Flickr. Our ...
Problem-Solving Flowcharts is a graphical representation used to break down problem or process into smaller, manageable parts, identify the root causes and outline a step-by-step solution. It helps in visually organizing information and showing the relationships between various parts of the problem. This type of flowcharts consists of different ...
Here are six common transferable skills, with examples of how they might show up in different roles. Use this list to help identify your own transferrable skills. 1. Critical thinking. Critical thinking is the ability to evaluate, synthesize, and analyze information in an objective manner in order to produce an original insight or judgement.
7 Steps to Problem-Solving. 7 Steps to Problem-Solving is a systematic process that involves analyzing a situation, generating possible solutions, and implementing the best course of action. While different problem-solving models exist, a common approach often involves the following seven steps: Define the Problem: Clearly articulate and ...
See why leading organizations rely on MasterClass for learning & development. Fostering higher-order thinking skills (HOTS) is an important aspect of teaching students at all stages of their lives. These skills make students effective problem-solvers and form the building blocks of critical and creative thinking on a wider scale.
General mathematics solved problems, examples, and notes. Course. General Education. 912 Documents. Students shared 912 documents in this course. University Capiz State University. ... Filipino 6 Q2 Mod13 Pagtatala-ng-Datos-Batay-sa-Binasang-Teksto v2 - Copy; Filipino 6 Q2 Mod12 Paggamit-ng-Ibat-Ibang-Salita v.2 - Copy; TIP-Course-1 - yes;
The three steps before problem-solving: We call them the K-W-I. The "K" stands for "know" and requires students to identify what they already know about a problem. The goal in this step of ...