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Posters: Problem Solving

Support educators and learners to focus tightly on specific skill steps of Problem Solving by displaying these themed posters, including reflection questions at all steps. The posters reflect the four stages of progression in this skill.

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May 31, 2023

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The Art of Effective Problem Solving: A Step-by-Step Guide

Author: Daniel Croft

Daniel Croft is an experienced continuous improvement manager with a Lean Six Sigma Black Belt and a Bachelor's degree in Business Management. With more than ten years of experience applying his skills across various industries, Daniel specializes in optimizing processes and improving efficiency. His approach combines practical experience with a deep understanding of business fundamentals to drive meaningful change.

Whether we realise it or not, problem solving skills are an important part of our daily lives. From resolving a minor annoyance at home to tackling complex business challenges at work, our ability to solve problems has a significant impact on our success and happiness. However, not everyone is naturally gifted at problem-solving, and even those who are can always improve their skills. In this blog post, we will go over the art of effective problem-solving step by step.

You will learn how to define a problem, gather information, assess alternatives, and implement a solution, all while honing your critical thinking and creative problem-solving skills. Whether you’re a seasoned problem solver or just getting started, this guide will arm you with the knowledge and tools you need to face any challenge with confidence. So let’s get started!

Problem Solving Methodologies

Individuals and organisations can use a variety of problem-solving methodologies to address complex challenges. 8D and A3 problem solving techniques are two popular methodologies in the Lean Six Sigma framework.

Methodology of 8D (Eight Discipline) Problem Solving:

The 8D problem solving methodology is a systematic, team-based approach to problem solving. It is a method that guides a team through eight distinct steps to solve a problem in a systematic and comprehensive manner.

The 8D process consists of the following steps:

• Form a team: Assemble a group of people who have the necessary expertise to work on the problem.
• Define the issue: Clearly identify and define the problem, including the root cause and the customer impact.
• Create a temporary containment plan: Put in place a plan to lessen the impact of the problem until a permanent solution can be found.
• Identify the root cause: To identify the underlying causes of the problem, use root cause analysis techniques such as Fishbone diagrams and Pareto charts.
• Create and test long-term corrective actions: Create and test a long-term solution to eliminate the root cause of the problem.
• Implement and validate the permanent solution: Implement and validate the permanent solution’s effectiveness.
• Prevent recurrence: Put in place measures to keep the problem from recurring.
• Recognize and reward the team: Recognize and reward the team for its efforts.

Download the 8D Problem Solving Template

A3 Problem Solving Method:

The A3 problem solving technique is a visual, team-based problem-solving approach that is frequently used in Lean Six Sigma projects. The A3 report is a one-page document that clearly and concisely outlines the problem, root cause analysis, and proposed solution.

The A3 problem-solving procedure consists of the following steps:

• Determine the issue: Define the issue clearly, including its impact on the customer.
• Perform root cause analysis: Identify the underlying causes of the problem using root cause analysis techniques.
• Create and implement a solution: Create and implement a solution that addresses the problem’s root cause.
• Monitor and improve the solution: Keep an eye on the solution’s effectiveness and make any necessary changes.

Subsequently, in the Lean Six Sigma framework, the 8D and A3 problem solving methodologies are two popular approaches to problem solving. Both methodologies provide a structured, team-based problem-solving approach that guides individuals through a comprehensive and systematic process of identifying, analysing, and resolving problems in an effective and efficient manner.

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. To avoid this pitfall, it is critical to thoroughly understand the problem.

To begin, ask yourself some clarifying questions:

• What exactly is the issue?
• What are the problem’s symptoms or consequences?
• Who or what is impacted by the issue?
• When and where does the issue arise?

Answering these questions will assist you in determining the scope of the problem. However, simply describing the problem is not always sufficient; you must also identify the root cause. The root cause is the underlying cause of the problem and is usually the key to resolving it permanently.

Try asking “why” questions to find the root cause:

• What causes the problem?
• Why does it continue?
• Why does it have the effects that it does?

By repeatedly asking “ why ,” you’ll eventually get to the bottom of the problem. This is an important step in the problem-solving process because it ensures that you’re dealing with the root cause rather than just the symptoms.

Once you have a firm grasp on the issue, it is time to divide it into smaller, more manageable chunks. This makes tackling the problem easier and reduces the risk of becoming overwhelmed. For example, if you’re attempting to solve a complex business problem, you might divide it into smaller components like market research, product development, and sales strategies.

To summarise step 1, defining the problem is an important first step in effective problem-solving. You will be able to identify the root cause and break it down into manageable parts if you take the time to thoroughly understand the problem. This will prepare you for the next step in the problem-solving process, which is gathering information and brainstorming ideas.

Step 2 – Gather Information and Brainstorm Ideas

Gathering information and brainstorming ideas is the next step in effective problem solving. This entails researching the problem and relevant information, collaborating with others, and coming up with a variety of potential solutions. This increases your chances of finding the best solution to the problem.

Begin by researching the problem and relevant information. This could include reading articles, conducting surveys, or consulting with experts. The goal is to collect as much information as possible in order to better understand the problem and possible solutions.

Next, work with others to gather a variety of perspectives. Brainstorming with others can be an excellent way to come up with new and creative ideas. Encourage everyone to share their thoughts and ideas when working in a group, and make an effort to actively listen to what others have to say. Be open to new and unconventional ideas and resist the urge to dismiss them too quickly.

Finally, use brainstorming to generate a wide range of potential solutions. This is the place where you can let your imagination run wild. At this stage, don’t worry about the feasibility or practicality of the solutions; instead, focus on generating as many ideas as possible. Write down everything that comes to mind, no matter how ridiculous or unusual it may appear. This can be done individually or in groups.

Once you’ve compiled a list of potential solutions, it’s time to assess them and select the best one. This is the next step in the problem-solving process, which we’ll go over in greater detail in the following section.

Step 3 – Evaluate Options and Choose the Best Solution

Once you’ve compiled a list of potential solutions, it’s time to assess them and select the best one. This is the third step in effective problem solving, and it entails weighing the advantages and disadvantages of each solution, considering their feasibility and practicability, and selecting the solution that is most likely to solve the problem effectively.

To begin, weigh the advantages and disadvantages of each solution. This will assist you in determining the potential outcomes of each solution and deciding which is the best option. For example, a quick and easy solution may not be the most effective in the long run, whereas a more complex and time-consuming solution may be more effective in solving the problem in the long run.

Consider each solution’s feasibility and practicability. Consider the following:

• Can the solution be implemented within the available resources, time, and budget?
• What are the possible barriers to implementing the solution?
• Is the solution feasible in today’s political, economic, and social environment?

You’ll be able to tell which solutions are likely to succeed and which aren’t by assessing their feasibility and practicability.

Finally, choose the solution that is most likely to effectively solve the problem. This solution should be based on the criteria you’ve established, such as the advantages and disadvantages of each solution, their feasibility and practicability, and your overall goals.

It is critical to remember that there is no one-size-fits-all solution to problems. What is effective for one person or situation may not be effective for another. This is why it is critical to consider a wide range of solutions and evaluate each one based on its ability to effectively solve the problem.

Step 4 – Implement and Monitor the Solution

When you’ve decided on the best solution, it’s time to put it into action. The fourth and final step in effective problem solving is to put the solution into action, monitor its progress, and make any necessary adjustments.

To begin, implement the solution. This may entail delegating tasks, developing a strategy, and allocating resources. Ascertain that everyone involved understands their role and responsibilities in the solution’s implementation.

Next, keep an eye on the solution’s progress. This may entail scheduling regular check-ins, tracking metrics, and soliciting feedback from others. You will be able to identify any potential roadblocks and make any necessary adjustments in a timely manner if you monitor the progress of the solution.

Finally, make any necessary modifications to the solution. This could entail changing the solution, altering the plan of action, or delegating different tasks. Be willing to make changes if they will improve the solution or help it solve the problem more effectively.

It’s important to remember that problem solving is an iterative process, and there may be times when you need to start from scratch. This is especially true if the initial solution does not effectively solve the problem. In these situations, it’s critical to be adaptable and flexible and to keep trying new solutions until you find the one that works best.

To summarise, effective problem solving is a critical skill that can assist individuals and organisations in overcoming challenges and achieving their objectives. Effective problem solving consists of four key steps: defining the problem, generating potential solutions, evaluating alternatives and selecting the best solution, and implementing the solution.

You can increase your chances of success in problem solving by following these steps and considering factors such as the pros and cons of each solution, their feasibility and practicability, and making any necessary adjustments. Furthermore, keep in mind that problem solving is an iterative process, and there may be times when you need to go back to the beginning and restart. Maintain your adaptability and try new solutions until you find the one that works best for you.

• Novick, L.R. and Bassok, M., 2005.  Problem Solving . Cambridge University Press.

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Daniel Croft

Daniel Croft is a seasoned continuous improvement manager with a Black Belt in Lean Six Sigma. With over 10 years of real-world application experience across diverse sectors, Daniel has a passion for optimizing processes and fostering a culture of efficiency. He's not just a practitioner but also an avid learner, constantly seeking to expand his knowledge. Outside of his professional life, Daniel has a keen Investing, statistics and knowledge-sharing, which led him to create the website www.learnleansigma.com, a platform dedicated to Lean Six Sigma and process improvement insights.

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Lesson 18: Apologizing Can Help

In this lesson, students will learn about apologizing as a way of showing kindness and as a tool for problem-solving in a variety of scenarios. Lesson Plan (PDF) Lesson Presentation

Lesson 9: Feeling Frustrated

In this lesson, students will learn which clues tell them when others might be frustrated, and a new way to feel calm when they’re feeling frustrated themselves. Lesson Plan (PDF) Lesson Presentation

Lesson 16: The Way to Say a Problem

In this lesson, students will start learning to be better problem-solvers by managing strong feelings and stating problems without blame. Lesson Plan (PDF) Lesson Presentation Lesson Handout (PDF)

Lesson 14: Asking Questions

In this lesson, students will learn about asking questions to find out how someone else is feeling and to understand what their friends might want or need. Lesson Plan (PDF) Lesson Presentation Lesson Handout (PDF)

Lesson 17: Saying It Respectfully

In this lesson, students will learn how to consider another person’s point of view and to say what they want or need in a respectful way. Lesson Plan (PDF) Lesson Presentation Lesson Handout A (PDF) Lesson Handout B (PDF)

Lesson 17: When? Where? Who?

In this lesson, students will learn how to identify when and where to work on solving a problem, and who should be included. Lesson Plan (PDF) Lesson Presentation

Unit 4, Lesson 23: Respectful Communication

In this lesson, students will learn ways to communicate during a conflict to keep it from escalating through reflecting on their own experiences, defining respectful communication, and practicing using language that will help resolve conflicts. Sample This Lesson Lesson Plan (PDF) Student Handout (PDF)

Unit 3, Lesson 18: Practicing Positive Self-Talk

In this lesson, students will learn how to use positive self-talk to reframe challenging situations, including discussing why it isn’t always easy to see the positives and practicing noticing the positive things in their everyday lives. Sample This Lesson Lesson Plan (PDF) Student Handout (PDF)

Unit 2, Lesson 9: Sources of Confidence

In this lesson, students will learn more about confidence and where it comes from. They will talk about a specific source of confidence that led to a personal success. Sample This Lesson

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Problem-Solving Strategies Posters

Add to calendar, add to favourites, description.

Teaching problem-solving strategies and want something visual for your students to refer to? Then look no further than this poster set!

Each poster explains the strategy and provides an example to model the strategy.

This set of 10 posters includes the following:

• Draw a diagram or picture
• Guess and check
• Working backwards
• Find a pattern or rule
• Create a chart or table
• Use materials (act it out)
• What is important?
• Make a list
• Smaller part of a larger problem
• Simplify the problem

Additional information

Number of Pages	10
File Format	pdf
Australian Curriculum Code	AC9M3N06, AC9M4N08, AC9M5N09, AC9M6N09

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Trending Resource : 40+ Activities for the First Week of School

Problem Solving Strategies Posters and Bulletin Board

This blog post contains Amazon affiliate links. As an Amazon Associate, I earn a small commission from qualifying purchases.

Less than a week until school starts.  I still have so much to do.  I did complete one of my bulletin boards today. This is my new Problem Solving Strategies Posters and Bulletin Board.

I got to use my new toy: a Laminator !  The school has a giant laminator in the teacher’s lounge, but you have to get the person with the key to help you use it.  And, every time I’ve tried to get the person with the key to help me use it, they haven’t been at school. 

So, I ordered my own small laminator .  It’ll be perfect for when I have an epiphany at ten pm and decide that I need something laminated for my lesson the next day.   

MATH = LOVE RECOMMENDS…

A laminator is a MUST-HAVE for me as a math teacher! I spent my first six years as a teacher at a school with a broken laminator , so I had to find a way to laminate things myself.

I’ve had several laminators over the years. I currently use a Scotch laminator at home and a Swingline laminator at school.

• Scotch Laminator
• Swingline Laminator
• Nuova Laminating Pouches

I highly recommend splurging a bit on the actual laminator and buying the cheapest laminating pouches you can find!

I’m seriously addicted to laminating .  I pretty much want to laminate everything in my house right now.  I’d show you all the other cool stuff I laminated , but it’ll have to wait until I can actually put it up in my classroom. 

I laminated my door decorations , but I can’t put them up until they finish staining my door…

But, I did get to finish my Problem Solving Strategies Bulletin Board today.  And, yes, I hate the pipes and cable running in front of my bulletin board as much as you do.  This is what happens when you teach in a school that was built in 1919.  I have random pipes all over my room. 

I love the building, but it definitely comes with its challenges.  The original slate chalk boards are still on the wall.  They’ve just been covered up.  And, I’ve got a radiator along one wall.  Does it still work?  I have no clue.  I guess I’ll figure that out come winter time…  So much to learn!    

If you want to create your own, I uploaded the problem solving strategies posters I made as a PDF file.  I just printed them on Astrobrights paper (another new favorite!)  

I’ve also hung these posters on the wall below my Smart Board before.

You might also be interested in a page of problem solving strategies I created for students to glue in their interactive notebooks.

Free Download of Problem Solving Strategies Posters

Problem Solving Strategies Posters (PDF) (2328 downloads )

Want more posters to decorate your classroom? Check out my posters page !

More Free Printable Math Posters

Sarah Carter teaches high school math in her hometown of Coweta, Oklahoma. She currently teaches AP Precalculus, AP Calculus AB, and Statistics. She is passionate about sharing creative and hands-on teaching ideas with math teachers around the world through her blog, Math = Love.

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Thanks for including the PDF of the posters!! I'm going to use a couple in my room 🙂

Since reading your blog, I've gotten the laminator out of the closet and have gone wild laminating everything I can (even begging the baseball coach next door to me if I can laminate stuff for him).

I completely understand. 🙂 I just ordered 300 more laminating sheets. I think I'm addicted…

these are so awesome!! thank you!

You're welcome!

Just found these…Thanks for sharing!!

You're welcome! I posted an updated set a few weeks ago if you're interested!

Ms. Hagan You are amazing! Thank you so much for your posts and sharing your resources. As a new teacher I appreciate it!

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Problem Solving Strategies Posters

Subject: Mathematics

Age range: 11-14

Resource type: Visual aid/Display

Last updated

23 November 2018

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10 Problem Solving Strategies Posters

Updated:  05 Dec 2016

Posters highlighting 10 problem solving strategies.

Non-Editable:  PDF

Pages:  11 Pages

Years:  3 - 7

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The 10  problem solving strategies  include:

• Guess and check
• Make a table or chart
• Draw a picture or diagram
• Act out the problem
• Find a pattern or use a rule
• Check for relevant or irrelevant information
• Find smaller parts of a large problem
• Make an organised list
• Solve a simpler problem
• Work backwards

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And an example of a problem on each poster :)

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This Reading Mama

Social Problem Solving Posters {FREE}

By thisreadingmama 9 Comments

A few months ago, I shared a simple problem solving chart for kids . While this chart works well at home, it might not be large enough for a classroom wall, so I created some social problem solving posters  {free} that are larger and clearer to see from across the room.

Posters like these plus MANY more can be found in our Social Emotional Learning Visuals Pack .

*This post contains affiliate links. **The free download can be found towards the end of this post. Just click on the teal download button.

FREE Social Problem Solving Posters

The idea behind these social problem solving posters is to

• prevent unnecessary tattling by
• giving kids strategies and steps they can try when they have a problem with another peer

You can read more about how to use and teach these problem solving steps in my coping strategies post , but the idea is to start with #1: Say, “Please stop _______,” naming the specific behavior.

If step #1 doesn’t help, there are a few other steps the child can use, like ignore the behavior, walk away, or get help from a grown-up.

When a learner in my classroom {I taught K & 1st grades} would “tell” on another student, I would usually ask, “What did (s)he say when you asked him/her to stop?” If I got the blank stare, I knew the learner had skipped step #1.

Of course, there are exceptions to these steps, like being punched by another student. But for the most part, these steps are a great way to help equip young learners with life-long skills.

You Might Also Like

Problem Solving Chart for Kids

Enjoy! ~Becky

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August 23, 2016 at 9:31 am

I love these! I think it’s so important to give kids strategies that empower them to handle situations themselves when possible. I’m going to print them out and use them at home with my four-year-old. Thanks.

August 26, 2016 at 1:26 am

Thanks so much for sharing. Hopefully it will help my kiddos to understand how to ask for help and solve problems.

April 14, 2017 at 11:23 pm

Thanks for sharing !

June 11, 2017 at 5:40 pm

These are amazing!!!! Can’t wait to use them on Monday!!!!!

August 14, 2017 at 1:04 pm

Thank you for your generosity!

March 31, 2019 at 2:08 pm

Thank you for these posters, i am always looking for more than one way to deal with social problems. Yes, I would like to see what else you have. Thanks again!

January 2, 2020 at 9:54 am

I am looking forward to using the resources in my Program.Thank you for your generosity.

January 7, 2020 at 7:16 am

You’re welcome! 🙂

March 4, 2021 at 3:29 pm

This is so helpful,thank you for sharing it!

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Powerful online learning at your pace

What IS Problem-Solving?

Ask teachers about problem-solving strategies, and you’re opening a can of worms! Opinions about the “best” way to teach problem-solving are all over the board. And teachers will usually argue for their process quite passionately.

When I first started teaching math over 25 years ago, it was very common to teach “keywords” to help students determine the operation to use when solving a word problem. For example, if you see the word “total” in the problem, you always add. Rather than help students become better problem solvers, the use of keywords actually resulted in students who don’t even feel the need to read and understand the problem–just look for the keywords, pick out the numbers, and do the operation indicated by the keyword.

This post contains affiliate links, which simply means that when you use my link and purchase a product, I receive a small commission. There is no additional cost to you, and I only link to books and products that I personally use and recommend.

Another common strategy for teaching problem-solving is the use of acrostics that students can easily remember to perform the “steps” in problem-solving. CUBES is an example. Just as with keywords, however, students often follow the steps with little understanding. As an example, a common step is to underline or highlight the question. But if you ask students why they are underlining or highlighting the question, they often can’t tell you. The question is , in fact, super important, but they’ve not been told why. They’ve been told to underline the question, so they do.

The problem with both keywords and the rote-step strategies is that both methods try to turn something that is inherently messy into an algorithm! It’s way past time that we leave both methods behind.

First, we need to broaden the definition of problem-solving. Somewhere along the line, problem-solving became synonymous with “word problems.” In reality, it’s so much more. Every one of us solves dozens or hundreds of problems every single day, and most of us haven’t solved a word problem in years. Problem-solving is often described as  figuring out what to do when you don’t  know what to do.  My power went out unexpectedly this morning, and I have work to do. That’s a problem that I had to solve. I had to think about what the problem was, what my options were, and formulate a plan to solve the problem. No keywords. No acrostics. I’m using my phone as a hotspot and hoping my laptop battery doesn’t run out. Problem solved. For now.

If you want to get back to what problem-solving really is, you should consult the work of George Polya. His book, How to Solve It , which was first published in 1945, outlined four principles for problem-solving. The four principles are: understand the problem, devise a plan, carry out the plan, and look back. This document from UC Berkeley’s Mathematics department is a great 4-page overview of Polya’s process. You can probably see that the keyword and rote-steps strategies were likely based on Polya’s method, but it really got out of hand. We need to help students think , not just follow steps.

I created both primary and intermediate posters based on Polya’s principles. Grab your copies for free here !

I would LOVE to hear your comments about problem-solving!

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Do you tutor teachers?

I do professional development for district and schools, and I have online courses.

You make a great point when you mentioned that teaching students to look for “keywords” is not teaching students to become better problem solvers. I was once guilty of using the CUBES strategy, but have since learned to provide students with opportunity to grapple with solving a problem and not providing them with specified steps to follow.

I think we’ve ALL been there! We learn and we do better. 🙂

Love this article and believe that we can do so much better as math teachers than just teaching key words! Do you have an editable version of this document? We are wanting to use something similar for our school, but would like to tweak it just a bit. Thank you!

I’m sorry, but because of the clip art and fonts I use, I am not able to provide an editable version.

Hi Donna! I am working on my dissertation that focuses on problem-solving. May I use your intermediate poster as a figure, giving credit to you in my citation with your permission, for my section on Polya’s Traditional Problem-Solving Steps? You laid out the process so succinctly with examples that my research could greatly benefit from this image. Thank you in advance!

Absolutely! Good luck with your dissertation!

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