can you teach problem solving

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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.

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How to Teach Kids Problem-Solving Skills

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• Steps to Follow
• Allow Consequences

Whether your child can't find their math homework or has forgotten their lunch, good problem-solving skills are the key to helping them manage their life. 

A 2010 study published in Behaviour Research and Therapy found that kids who lack problem-solving skills may be at a higher risk of depression and suicidality.   Additionally, the researchers found that teaching a child problem-solving skills can improve mental health . 

You can begin teaching basic problem-solving skills during preschool and help your child sharpen their skills into high school and beyond.

Why Problem-Solving Skills Matter

Kids face a variety of problems every day, ranging from academic difficulties to problems on the sports field. Yet few of them have a formula for solving those problems.

Kids who lack problem-solving skills may avoid taking action when faced with a problem.

Rather than put their energy into solving the problem, they may invest their time in avoiding the issue.   That's why many kids fall behind in school or struggle to maintain friendships .

Other kids who lack problem-solving skills spring into action without recognizing their choices. A child may hit a peer who cuts in front of them in line because they are not sure what else to do.  

Or, they may walk out of class when they are being teased because they can't think of any other ways to make it stop. Those impulsive choices may create even bigger problems in the long run.

The 5 Steps of Problem-Solving

Kids who feel overwhelmed or hopeless often won't attempt to address a problem. But when you give them a clear formula for solving problems, they'll feel more confident in their ability to try. Here are the steps to problem-solving:  

• Identify the problem . Just stating the problem out loud can make a big difference for kids who are feeling stuck. Help your child state the problem, such as, "You don't have anyone to play with at recess," or "You aren't sure if you should take the advanced math class." 
• Develop at least five possible solutions . Brainstorm possible ways to solve the problem. Emphasize that all the solutions don't necessarily need to be good ideas (at least not at this point). Help your child develop solutions if they are struggling to come up with ideas. Even a silly answer or far-fetched idea is a possible solution. The key is to help them see that with a little creativity, they can find many different potential solutions.
• Identify the pros and cons of each solution . Help your child identify potential positive and negative consequences for each potential solution they identified. 
• Pick a solution. Once your child has evaluated the possible positive and negative outcomes, encourage them to pick a solution.
• Test it out . Tell them to try a solution and see what happens. If it doesn't work out, they can always try another solution from the list that they developed in step two. 

Practice Solving Problems

When problems arise, don’t rush to solve your child’s problems for them. Instead, help them walk through the problem-solving steps. Offer guidance when they need assistance, but encourage them to solve problems on their own. If they are unable to come up with a solution, step in and help them think of some. But don't automatically tell them what to do. 

When you encounter behavioral issues, use a problem-solving approach. Sit down together and say, "You've been having difficulty getting your homework done lately. Let's problem-solve this together." You might still need to offer a consequence for misbehavior, but make it clear that you're invested in looking for a solution so they can do better next time. 

Use a problem-solving approach to help your child become more independent.

If they forgot to pack their soccer cleats for practice, ask, "What can we do to make sure this doesn't happen again?" Let them try to develop some solutions on their own.

Kids often develop creative solutions. So they might say, "I'll write a note and stick it on my door so I'll remember to pack them before I leave," or "I'll pack my bag the night before and I'll keep a checklist to remind me what needs to go in my bag." 

Provide plenty of praise when your child practices their problem-solving skills.  

Allow for Natural Consequences

Natural consequences  may also teach problem-solving skills. So when it's appropriate, allow your child to face the natural consequences of their action. Just make sure it's safe to do so. 

For example, let your teenager spend all of their money during the first 10 minutes you're at an amusement park if that's what they want. Then, let them go for the rest of the day without any spending money.

This can lead to a discussion about problem-solving to help them make a better choice next time. Consider these natural consequences as a teachable moment to help work together on problem-solving.

Becker-Weidman EG, Jacobs RH, Reinecke MA, Silva SG, March JS. Social problem-solving among adolescents treated for depression . Behav Res Ther . 2010;48(1):11-18. doi:10.1016/j.brat.2009.08.006

Pakarinen E, Kiuru N, Lerkkanen M-K, Poikkeus A-M, Ahonen T, Nurmi J-E. Instructional support predicts childrens task avoidance in kindergarten .  Early Child Res Q . 2011;26(3):376-386. doi:10.1016/j.ecresq.2010.11.003

Schell A, Albers L, von Kries R, Hillenbrand C, Hennemann T. Preventing behavioral disorders via supporting social and emotional competence at preschool age .  Dtsch Arztebl Int . 2015;112(39):647–654. doi:10.3238/arztebl.2015.0647

Cheng SC, She HC, Huang LY. The impact of problem-solving instruction on middle school students’ physical science learning: Interplays of knowledge, reasoning, and problem solving . EJMSTE . 2018;14(3):731-743.

Vlachou A, Stavroussi P. Promoting social inclusion: A structured intervention for enhancing interpersonal problem‐solving skills in children with mild intellectual disabilities . Support Learn . 2016;31(1):27-45. doi:10.1111/1467-9604.12112

Öğülmüş S, Kargı E. The interpersonal cognitive problem solving approach for preschoolers .  Turkish J Educ . 2015;4(17347):19-28. doi:10.19128/turje.181093

American Academy of Pediatrics. What's the best way to discipline my child? .

Kashani-Vahid L, Afrooz G, Shokoohi-Yekta M, Kharrazi K, Ghobari B. Can a creative interpersonal problem solving program improve creative thinking in gifted elementary students? .  Think Skills Creat . 2017;24:175-185. doi:10.1016/j.tsc.2017.02.011

Shokoohi-Yekta M, Malayeri SA. Effects of advanced parenting training on children's behavioral problems and family problem solving .  Procedia Soc Behav Sci . 2015;205:676-680. doi:10.1016/j.sbspro.2015.09.106

By Amy Morin, LCSW Amy Morin, LCSW, is the Editor-in-Chief of Verywell Mind. She's also a psychotherapist, an international bestselling author of books on mental strength and host of The Verywell Mind Podcast. She delivered one of the most popular TEDx talks of all time.

Don’t Just Tell Students to Solve Problems. Teach Them How.

The positive impact of an innovative uc san diego problem-solving educational curriculum continues to grow.

• Daniel Kane - [email protected]

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Problem solving is a critical skill for technical education and technical careers of all types. But what are best practices for teaching problem solving to high school and college students? 

The University of California San Diego Jacobs School of Engineering is on the forefront of efforts to improve how problem solving is taught. This UC San Diego approach puts hands-on problem-identification and problem-solving techniques front and center. Over 1,500 students across the San Diego region have already benefited over the last three years from this program. In the 2023-2024 academic year, approximately 1,000 upper-level high school students will be taking the problem solving course in four different school districts in the San Diego region. Based on the positive results with college students, as well as high school juniors and seniors in the San Diego region, the project is getting attention from educators across the state of California, and around the nation and the world.

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In Summer 2023, th e 27 community college students who took the unique problem-solving course developed at the UC San Diego Jacobs School of Engineering thrived, according to Alex Phan PhD, the Executive Director of Student Success at the UC San Diego Jacobs School of Engineering. Phan oversees the project. 

Over the course of three weeks, these students from Southwestern College and San Diego City College poured their enthusiasm into problem solving through hands-on team engineering challenges. The students brimmed with positive energy as they worked together. 

What was noticeably absent from this laboratory classroom: frustration.

“In school, we often tell students to brainstorm, but they don’t often know where to start. This curriculum gives students direct strategies for brainstorming, for identifying problems, for solving problems,” sai d Jennifer Ogo, a teacher from Kearny High School who taught the problem-solving course in summer 2023 at UC San Diego. Ogo was part of group of educators who took the course themselves last summer.

The curriculum has been created, refined and administered over the last three years through a collaboration between the UC San Diego Jacobs School of Engineering and the UC San Diego Division of Extended Studies. The project kicked off in 2020 with a generous gift from a local philanthropist.

Not getting stuck

One of the overarching goals of this project is to teach both problem-identification and problem-solving skills that help students avoid getting stuck during the learning process. Stuck feelings lead to frustration – and when it’s a Science, Technology, Engineering and Math (STEM) project, that frustration can lead students to feel they don’t belong in a STEM major or a STEM career. Instead, the UC San Diego curriculum is designed to give students the tools that lead to reactions like “this class is hard, but I know I can do this!” –  as Ogo, a celebrated high school biomedical sciences and technology teacher, put it. 

Three years into the curriculum development effort, the light-hearted energy of the students combined with their intense focus points to success. On the last day of the class, Mourad Mjahed PhD, Director of the MESA Program at Southwestern College’s School of Mathematics, Science and Engineering came to UC San Diego to see the final project presentations made by his 22 MESA students.

“Industry is looking for students who have learned from their failures and who have worked outside of their comfort zones,” said Mjahed. The UC San Diego problem-solving curriculum, Mjahed noted, is an opportunity for students to build the skills and the confidence to learn from their failures and to work outside their comfort zone. “And from there, they see pathways to real careers,” he said. 

What does it mean to explicitly teach problem solving? 

This approach to teaching problem solving includes a significant focus on learning to identify the problem that actually needs to be solved, in order to avoid solving the wrong problem. The curriculum is organized so that each day is a complete experience. It begins with the teacher introducing the problem-identification or problem-solving strategy of the day. The teacher then presents case studies of that particular strategy in action. Next, the students get introduced to the day’s challenge project. Working in teams, the students compete to win the challenge while integrating the day’s technique. Finally, the class reconvenes to reflect. They discuss what worked and didn't work with their designs as well as how they could have used the day’s problem-identification or problem-solving technique more effectively. 

The challenges are designed to be engaging – and over three years, they have been refined to be even more engaging. But the student engagement is about much more than being entertained. Many of the students recognize early on that the problem-identification and problem-solving skills they are learning can be applied not just in the classroom, but in other classes and in life in general. 

Gabriel from Southwestern College is one of the students who saw benefits outside the classroom almost immediately. In addition to taking the UC San Diego problem-solving course, Gabriel was concurrently enrolled in an online computer science programming class. He said he immediately started applying the UC San Diego problem-identification and troubleshooting strategies to his coding assignments. 

Gabriel noted that he was given a coding-specific troubleshooting strategy in the computer science course, but the more general problem-identification strategies from the UC San Diego class had been extremely helpful. It’s critical to “find the right problem so you can get the right solution. The strategies here,” he said, “they work everywhere.”

Phan echoed this sentiment. “We believe this curriculum can prepare students for the technical workforce. It can prepare students to be impactful for any career path.”

The goal is to be able to offer the course in community colleges for course credit that transfers to the UC, and to possibly offer a version of the course to incoming students at UC San Diego. 

As the team continues to work towards integrating the curriculum in both standardized high school courses such as physics, and incorporating the content as a part of the general education curriculum at UC San Diego, the project is expected to impact thousands more students across San Diego annually. 

Portrait of the Problem-Solving Curriculum

On a sunny Wednesday in July 2023, an experiential-learning classroom was full of San Diego community college students. They were about half-way through the three-week problem-solving course at UC San Diego, held in the campus’ EnVision Arts and Engineering Maker Studio. On this day, the students were challenged to build a contraption that would propel at least six ping pong balls along a kite string spanning the laboratory. The only propulsive force they could rely on was the air shooting out of a party balloon.

A team of three students from Southwestern College – Valeria, Melissa and Alondra – took an early lead in the classroom competition. They were the first to use a plastic bag instead of disposable cups to hold the ping pong balls. Using a bag, their design got more than half-way to the finish line – better than any other team at the time – but there was more work to do. 

As the trio considered what design changes to make next, they returned to the problem-solving theme of the day: unintended consequences. Earlier in the day, all the students had been challenged to consider unintended consequences and ask questions like: When you design to reduce friction, what happens? Do new problems emerge? Did other things improve that you hadn’t anticipated? 

Other groups soon followed Valeria, Melissa and Alondra’s lead and began iterating on their own plastic-bag solutions to the day’s challenge. New unintended consequences popped up everywhere. Switching from cups to a bag, for example, reduced friction but sometimes increased wind drag. 

Over the course of several iterations, Valeria, Melissa and Alondra made their bag smaller, blew their balloon up bigger, and switched to a different kind of tape to get a better connection with the plastic straw that slid along the kite string, carrying the ping pong balls. 

One of the groups on the other side of the room watched the emergence of the plastic-bag solution with great interest. 

“We tried everything, then we saw a team using a bag,” said Alexander, a student from City College. His team adopted the plastic-bag strategy as well, and iterated on it like everyone else. They also chose to blow up their balloon with a hand pump after the balloon was already attached to the bag filled with ping pong balls – which was unique. 

“I don’t want to be trying to put the balloon in place when it's about to explode,” Alexander explained. 

Asked about whether the structured problem solving approaches were useful, Alexander’s teammate Brianna, who is a Southwestern College student, talked about how the problem-solving tools have helped her get over mental blocks. “Sometimes we make the most ridiculous things work,” she said. “It’s a pretty fun class for sure.” 

Yoshadara, a City College student who is the third member of this team, described some of the problem solving techniques this way: “It’s about letting yourself be a little absurd.”

Alexander jumped back into the conversation. “The value is in the abstraction. As students, we learn to look at the problem solving that worked and then abstract out the problem solving strategy that can then be applied to other challenges. That’s what mathematicians do all the time,” he said, adding that he is already thinking about how he can apply the process of looking at unintended consequences to improve both how he plays chess and how he goes about solving math problems.

Looking ahead, the goal is to empower as many students as possible in the San Diego area and  beyond to learn to problem solve more enjoyably. It’s a concrete way to give students tools that could encourage them to thrive in the growing number of technical careers that require sharp problem-solving skills, whether or not they require a four-year degree. 

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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.

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.”

    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.

  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.

    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.

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?

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.

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.

Ready to Get Started?

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 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: 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 @helyn_kim.

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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• 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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College Minor: Everything You Need to Know

14 fascinating teacher interview questions for principals, tips for success if you have a master’s degree and can’t find a job, 14 ways young teachers can get that professional look, which teacher supplies are worth the splurge, 8 business books every teacher should read, conditional admission: everything you need to know, college majors: everything you need to know, 7 things principals can do to make a teacher observation valuable, 3 easy teacher outfits to tackle parent-teacher conferences, strategies and methods to teach students problem solving and critical thinking skills.

The ability to problem solve and think critically are two of the most important skills that PreK-12 students can learn. Why? Because students need these skills to succeed in their academics and in life in general. It allows them to find a solution to issues and complex situations that are thrown there way, even if this is the first time they are faced with the predicament.

Okay, we know that these are essential skills that are also difficult to master. So how can we teach our students problem solve and think critically? I am glad you asked. In this piece will list and discuss strategies and methods that you can use to teach your students to do just that.

• Direct Analogy Method

A method of problem-solving in which a problem is compared to similar problems in nature or other settings, providing solutions that could potentially be applied.

• Attribute Listing

A technique used to encourage creative thinking in which the parts of a subject, problem, or task are listed, and then ways to change those component parts are examined.

• Attribute Modifying

A technique used to encourage creative thinking in which the parts of a subject, problem, or task are listed, and then options for changing or improving each part are considered.

• Attribute Transferring

A technique used to encourage creative thinking in which the parts of a subject, problem or task listed and then the problem solver uses analogies to other contexts to generate and consider potential solutions.

• Morphological Synthesis

A technique used to encourage creative problem solving which extends on attribute transferring. A matrix is created, listing concrete attributes along the x-axis, and the ideas from a second attribute along with the y-axis, yielding a long list of idea combinations.

SCAMPER stands for Substitute, Combine, Adapt, Modify-Magnify-Minify, Put to other uses, and Reverse or Rearrange. It is an idea checklist for solving design problems.

• Direct Analogy

A problem-solving technique in which an individual is asked to consider the ways problems of this type are solved in nature.

• Personal Analogy

A problem-solving technique in which an individual is challenged to become part of the problem to view it from a new perspective and identify possible solutions.

• Fantasy Analogy

A problem-solving process in which participants are asked to consider outlandish, fantastic or bizarre solutions which may lead to original and ground-breaking ideas.

• Symbolic Analogy

A problem-solving technique in which participants are challenged to generate a two-word phrase related to the design problem being considered and that appears self-contradictory. The process of brainstorming this phrase can stimulate design ideas.

• Implementation Charting

An activity in which problem solvers are asked to identify the next steps to implement their creative ideas. This step follows the idea generation stage and the narrowing of ideas to one or more feasible solutions. The process helps participants to view implementation as a viable next step.

• Thinking Skills

Skills aimed at aiding students to be critical, logical, and evaluative thinkers. They include analysis, comparison, classification, synthesis, generalization, discrimination, inference, planning, predicting, and identifying cause-effect relationships.

Can you think of any additional problems solving techniques that teachers use to improve their student’s problem-solving skills?

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Helping Students Hone Their Critical Thinking Skills

Used consistently, these strategies can help middle and high school teachers guide students to improve much-needed skills.

Critical thinking skills are important in every discipline, at and beyond school. From managing money to choosing which candidates to vote for in elections to making difficult career choices, students need to be prepared to take in, synthesize, and act on new information in a world that is constantly changing.

While critical thinking might seem like an abstract idea that is tough to directly instruct, there are many engaging ways to help students strengthen these skills through active learning.

Make Time for Metacognitive Reflection

Create space for students to both reflect on their ideas and discuss the power of doing so. Show students how they can push back on their own thinking to analyze and question their assumptions. Students might ask themselves, “Why is this the best answer? What information supports my answer? What might someone with a counterargument say?”

Through this reflection, students and teachers (who can model reflecting on their own thinking) gain deeper understandings of their ideas and do a better job articulating their beliefs. In a world that is go-go-go, it is important to help students understand that it is OK to take a breath and think about their ideas before putting them out into the world. And taking time for reflection helps us more thoughtfully consider others’ ideas, too.

Teach Reasoning Skills 

Reasoning skills are another key component of critical thinking, involving the abilities to think logically, evaluate evidence, identify assumptions, and analyze arguments. Students who learn how to use reasoning skills will be better equipped to make informed decisions, form and defend opinions, and solve problems. 

One way to teach reasoning is to use problem-solving activities that require students to apply their skills to practical contexts. For example, give students a real problem to solve, and ask them to use reasoning skills to develop a solution. They can then present their solution and defend their reasoning to the class and engage in discussion about whether and how their thinking changed when listening to peers’ perspectives. 

A great example I have seen involved students identifying an underutilized part of their school and creating a presentation about one way to redesign it. This project allowed students to feel a sense of connection to the problem and come up with creative solutions that could help others at school. For more examples, you might visit PBS’s Design Squad , a resource that brings to life real-world problem-solving.

Ask Open-Ended Questions 

Moving beyond the repetition of facts, critical thinking requires students to take positions and explain their beliefs through research, evidence, and explanations of credibility. 

When we pose open-ended questions, we create space for classroom discourse inclusive of diverse, perhaps opposing, ideas—grounds for rich exchanges that support deep thinking and analysis. 

For example, “How would you approach the problem?” and “Where might you look to find resources to address this issue?” are two open-ended questions that position students to think less about the “right” answer and more about the variety of solutions that might already exist. 

Journaling, whether digitally or physically in a notebook, is another great way to have students answer these open-ended prompts—giving them time to think and organize their thoughts before contributing to a conversation, which can ensure that more voices are heard. 

Once students process in their journal, small group or whole class conversations help bring their ideas to life. Discovering similarities between answers helps reveal to students that they are not alone, which can encourage future participation in constructive civil discourse.

Teach Information Literacy 

Education has moved far past the idea of “Be careful of what is on Wikipedia, because it might not be true.” With AI innovations making their way into classrooms, teachers know that informed readers must question everything. 

Understanding what is and is not a reliable source and knowing how to vet information are important skills for students to build and utilize when making informed decisions. You might start by introducing the idea of bias: Articles, ads, memes, videos, and every other form of media can push an agenda that students may not see on the surface. Discuss credibility, subjectivity, and objectivity, and look at examples and nonexamples of trusted information to prepare students to be well-informed members of a democracy.

One of my favorite lessons is about the Pacific Northwest tree octopus . This project asks students to explore what appears to be a very real website that provides information on this supposedly endangered animal. It is a wonderful, albeit over-the-top, example of how something might look official even when untrue, revealing that we need critical thinking to break down “facts” and determine the validity of the information we consume. 

A fun extension is to have students come up with their own website or newsletter about something going on in school that is untrue. Perhaps a change in dress code that requires everyone to wear their clothes inside out or a change to the lunch menu that will require students to eat brussels sprouts every day. 

Giving students the ability to create their own falsified information can help them better identify it in other contexts. Understanding that information can be “too good to be true” can help them identify future falsehoods. 

Provide Diverse Perspectives 

Consider how to keep the classroom from becoming an echo chamber. If students come from the same community, they may have similar perspectives. And those who have differing perspectives may not feel comfortable sharing them in the face of an opposing majority. 

To support varying viewpoints, bring diverse voices into the classroom as much as possible, especially when discussing current events. Use primary sources: videos from YouTube, essays and articles written by people who experienced current events firsthand, documentaries that dive deeply into topics that require some nuance, and any other resources that provide a varied look at topics. 

I like to use the Smithsonian “OurStory” page , which shares a wide variety of stories from people in the United States. The page on Japanese American internment camps is very powerful because of its first-person perspectives. 

Practice Makes Perfect 

To make the above strategies and thinking routines a consistent part of your classroom, spread them out—and build upon them—over the course of the school year. You might challenge students with information and/or examples that require them to use their critical thinking skills; work these skills explicitly into lessons, projects, rubrics, and self-assessments; or have students practice identifying misinformation or unsupported arguments.

Critical thinking is not learned in isolation. It needs to be explored in English language arts, social studies, science, physical education, math. Every discipline requires students to take a careful look at something and find the best solution. Often, these skills are taken for granted, viewed as a by-product of a good education, but true critical thinking doesn’t just happen. It requires consistency and commitment.

In a moment when information and misinformation abound, and students must parse reams of information, it is imperative that we support and model critical thinking in the classroom to support the development of well-informed citizens.

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How to Teach Problem Solving

Problem solving can be a challenge to teach. Perhaps, it is because we are trying to teach students to manage and implement a myriad of skills: thinking, observing, investigating, reasoning through situations, and accessing prior knowledge. Check out these strategies to get students thinking!

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Problem Solving with Word Problems

In the book The Young Child and Mathematics , Juanita Copley states that problem solving happens through “doing, talking, reflecting, discussing, observing, investigating, listening, and reasoning.”

We can often mistake different methods for decoding word problems as problem solving skills. R.U.B.I.E.S. and C.U.B.E.S. and all of the acronyms where students are supposed to underline, box, or circle may feel productive, but they cannot produce the skills needed to solve real-world problems. 

Why Are Problem Solving is so Difficult

There are a lot of different factors that play into this challenge and it could be a single isolated one or it could be a combination of several factors.

• Need for perseverance – some students can routinely go through all of the procedures involved in solving a math problem, but they haven’t yet acquired the perseverance needed to reason through a real-life situation 
• Reading skills — tasks and real-world applications require reading comprehension and decoding skills to fully understand the situation and apply the mathematical reasoning skills necessary to solve
• Multiple steps — requires students to create a plan with several steps and work through the plan
• Incorrect vocabulary usage — when solving word problems, sometimes students have been instructed to primarily look for specific words like “per” “of” “each” “sum”…and then they attempt to apply the operation — but we know that doesn’t always work and can also over simplify the process.

Shift the Focus from the Answer

This post and video from Phil Daro (co-author of the CCSS) says that based on their studies, teachers need to shift the focus from answer-getting to sense-making. “When the answer is the only goal, genuine learning is undermined.”

He says that teachers put too much emphasis on the answers; answers are part of the process, but they are not the only learning outcome. That wrong answers are part of the learning outcome. 

• Consider framing wrong “answers” as “discoveries.” If students reached a wrong answer, you talked more about why that approach doesn’t work instead of how to get the right answer.
• Consider giving students the answers before solving , removing some of the power, and instead spent class time figuring out different ways to get to the answer.

The goal of solving math problems is the critical thinking that happens along the way. Not the answer.

How do we teach problem solving?

Learning is not necessarily the solution to a specific question. We want students to apply sense-making to the rest of their lives. I really want you to watch the video , but one of Daro’s suggestions is to provide students the correct answer before having students solve. It removes some of the power of finding the right answer, and puts an emphasis on figuring out different ways to get the answer. There are so many different ways to solve problems and it encourages students to think in this way.

Tip #1 – Allow flexibility in how students solve problems.

Showing your work is said so often that it can seem meaningless to a student. Give students options for ways they can show their work.

Grab a free REPRESENT IT bulletin board that will provide a visual aid for different ways to represent their work !

Here are a few examples:

• Write an equation
• Solve a simpler problem
• Draw a bar model
• Draw a picture
• Draw a graph
• Use an open number line
• Use manipulatives
• Guess and check
• Use logical reasoning
• Make a ratio table

Tip #2- Focus on quality over quantity.

Quality over quantity is going to mean different things for different teachers, depending on the number of students, the length of your class period and even the different concepts being covered.  Here is one example for helping students focus on “sense-making” in a problem. 

Let’s take this pretty basic word problem >> Mr. Roy overdrafts his account by $25.50 and then is charged a $10.35 fee by the bank. What is the change in Mr. Roy’s bank account?

Before modeling a think-aloud to discuss how to solve this problem (and move on quickly to the next), ask so many questions that students will have no choice but to THINK about what the problem is asking for. Shift the workload to the students. Here are a few I brainstormed:

• Who is Mr. Roy?
• What is an overdraft?
• Is a fee a good thing or bad thing? For who?
• Why is Mr. Roy charged a fee?
• What is the change measuring? 
• Does he have more money or less money?

I just asked 6 questions and haven’t even gotten to the math yet! Model for students the type of critical thinking and questioning you want students to use when they are solving solo.

Then have students just try out the problem. Circulate to see the different methods. Come together to discuss the different ways you saw the problem solved. 

Bring this problem to life by providing Monopoly money to students to “act” it out. 

I love seeing students be problem solvers and I think it is such a lifelong skill that they will always carry with them. In fact, they may not frequently need to calculate the equation of a line or the probability of a compound event, but each and everyday they will use their “sense-making skills” to solve problems and make decisions. 

If you want to focus on teaching problem solving, then All Access may be right for you!

Problem Solving Posters (Represent It! Bulletin Board)

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How to Teach Problem-Solving Skills to Children and Preteens

• By Ashley Cullins

Whether it’s a toy-related conflict, a tough math equation, or negative peer pressure, kids of ALL ages face problems and challenges on a daily basis.

As parents or teachers, we can’t always be there to solve every problem for our children. In fact, this isn’t our job. Our job is to TEACH our children how to solve problems by themselves . This way, they can become confident , independent, and successful individuals.

Instead of giving up or getting frustrated when they encounter a challenge, kids with problem-solving skills manage their emotions, think creatively, and persist until they find a solution. Naturally, these abilities go hand-in-hand with a  growth mindset .

Before you continue, we thought you might like to download our FREE Your Words Matter Volume 2 Kit . With these 10 one-page parenting guides, you will know exactly how to speak to your child to help them stand up for themselves, be more confident, and develop a growth mindset.

So HOW do you teach problem-solving skills to kids?

Well, it depends on their age . As cognitive abilities and the size of the child’s challenges grow/evolve over time, so should your approach to teaching problem-solving skills.

Read on to learn key strategies for teaching problem-solving to kids, as well as some age-by-age ideas and activities.

3 General Strategies to Teach Problem-Solving at Any Age

1. model effective problem-solving .

When YOU encounter a challenge, do a “think-aloud” for the benefit of your child. MODEL how to apply the same problem-solving skills you’ve been working on together, giving the real-world examples that she can implement in her own life.

At the same time, show your child a willingness to make mistakes . Everyone encounters problems, and that’s okay. Sometimes the first solution you try won’t work, and that’s okay too!  

When you model problem-solving, explain that there are some things that are out of our control. As we're solving a problem at hand we should focus on the things we CAN actually control.

You and your child can listen to Episode 35  of the Big Life Kids Podcast to learn about focusing on what you can control.

2. Ask for Advice

Ask your kids for advice when you have a problem. This teaches them that it’s common to make mistakes and face challenges. It also gives them the opportunity to practice problem-solving skills.

Plus, when you indicate that their ideas are valued ,  they’ll gain the confidence to attempt solving problems on their own.

3. Don’t Provide “The Answer”

As difficult as it may be, allow your child to struggle, sometimes fail , and ultimately LEARN  from experiencing consequences.

Now, let’s take a look at some age-specific strategies and activities. The ages listed below are general guidelines, feel free to choose any strategies or activities that you feel will work for YOUR child.

Use Emotion Coaching

To step into a problem-solving mindset, young children need to first learn to  manage their emotions . After all, it’s difficult for a small child to logically consider solutions to a problem if he’s mid-tantrum.

One way to accomplish this is by using the  emotion coaching process  outlined by John Gottman.

First,  teach your kids that ALL emotions are acceptable. There are NO “bad” emotions. Even seemingly negative emotions like anger, sadness, and frustration can teach us valuable lessons. What matters is how we  respond  to these emotions.

Second,   follow this process:

• Step One: Naming and validating emotions.  When your child is upset, help her process the way she’s feeling. Say something like,  “I understand that you’re upset because Jessica is playing with the toy you wanted.”
• Step Two:   Processing  emotions.  Guide your child to her  calming space. If she doesn't have one, it's a good idea to create one.  Let her calm her body and process her emotions so she can problem-solve, learn, and grow. 
• Step Three: Problem Solving.  Brainstorm solutions with your child, doing more   LISTENING   than talking during the conversation. This allows your child to practice her problem-solving skills, and she’s more likely to actually implement the solutions she came up with herself.

Say, “Show Me the Hard Part”

When your child struggles or feels frustrated, try a technique suggested by mom and parenting blogger Lauren Tamm . Simply say, “Show me the hard part.”

This helps your child identify the ROOT   of the problem, making it less intimidating and easier to solve.

Repeat back what your child says,  “So you’re saying…”

Once you both understand the real problem, prompt your child to come up with solutions . “There must be some way you can fix that…” or  “There must be something you can do…”

Now that your child has identified “the hard part,” she’ll likely be able to come up with a solution. If not, help her brainstorm some ideas. You may try asking the question, “If you DID  know, what would you think?” and see what she comes up with.

Problem-Solve with Creative Play

Allow your child to choose activities and games based on her  interests . Free play provides plenty of opportunities to navigate and creatively solve problems.

Children often learn best through play. Playing with items like blocks, simple puzzles, and dress-up clothes can teach your child the process of problem-solving.

Even while playing, your child thinks critically:  Where does this puzzle piece fit? What does this do? I want to dress up as a queen. What should I wear?   Where did I put my tiara? Is it under the couch?

Problem-Solve with Storybooks

Read age-appropriate stories featuring characters who experience problems, such as:

• Ladybug Girl and Bumblebee Boy by Jacky Davis: The story of two friends who want to play together but can’t find a game to agree on. After taking turns making suggestions, they arrive at a game they both want to play: Ladybug Girl and Bumblebee Boy.
• The Curious George Series by Margaret and H.E. Rey: A curious little monkey gets into and out of dilemmas, teaching kids to find solutions to problems of their own.
• Ira Sleeps Over by Bernard Waber: Ira’s thrilled to have a sleepover at his friend Reggie’s house. But there’s one problem: Should he or should he not bring his teddy bear? It may seem small, but this is the type of early social problem your child might relate to.

Connect these experiences to similar events in your child’s own life, and ASK your child HOW the characters in these stories could solve their problems. Encourage a variety of solutions, and discuss the possible outcomes of each.

This is a form of dialogue reading , or actively ENGAGING   your child in the reading experience. Interacting with the text instead of passively listening can “turbocharge” the development of literacy skills such as comprehension in preschool-aged children.

By asking questions about the characters’ challenges, you can also give your child’s problem-solving abilities a boost.

You can even have your child role-play the problem and potential solutions to reinforce the lesson.  

For book suggestions, refer to our Top 85 Growth Mindset Books for Children & Adults list.

Teach the Problem-Solving Steps

Come up with a simple problem-solving process for your child, one that you can consistently implement. For example, you might try the following five steps:

• Step 1: What am I feeling?  Help your child understand what she’s feeling in the moment (frustration, anger, curiosity, disappointment, excitement, etc.)  Noticing and naming emotions will diffuse  their charge and give your child a chance to take a step back.
• Step 2: What’s the problem?  Guide your child to identify the specific problem. In most cases, help her take responsibility for what happened rather than pointing fingers. For instance, instead of, “Joey got me in trouble at recess,” your child might say, “I got in trouble at recess for arguing with Joey.”
• Step 3:   What are the solutions?  Encourage your child to come up with as many solutions as possible. At this point, they don’t even need to be “good” solutions. They’re just brainstorming here, not yet evaluating the ideas they’ve generated.
• Step 4: What would happen if…? What would happen if your child attempted each of these solutions? Is the solution safe and fair? How will it make others feel? You can also try role-playing at this step. It’s important for your child to consider BOTH  positive and negative consequences of her actions.
• Step 5: Which one will I try?  Ask your child to pick one or more solutions to try. If the solution didn't work, discuss WHY and move on to another one. Encourage your child to keep trying until the problem is solved. 

Consistently practice these steps so that they become second nature, and model solving problems of your own the same way.  It's a good idea to   reflect :   What worked? What didn’t? What can you do differently next time?

Problem-Solve with Craft Materials

Crafting is another form of play that can teach kids to solve problems creatively.

Provide your child with markers, modeling clay, cardboard boxes, tape, paper, etc. They’ll come up with all sorts of interesting creations and inventive games with these simple materials.

These “open-ended toys” don’t have a “right way to play,” allowing your child to get creative and generate ideas independently .

Ask Open-Ended Questions

Asking open-ended questions improves a child’s ability to think critically and creatively, ultimately making them better problem-solvers. Examples of open-ended questions include:

• How could we work together to solve this?
• How did you work it out? or How do you know that?
• Tell me about what you built, made, or created.
• What do you think will happen next?
• What do you think would happen if…?
• What did you learn?
• What was easy? What was hard?
• What would you do differently next time?

Open-ended questions have no right answer and can’t be answered with a simple “Yes” or “No.”

You can ask open-ended questions even when your child isn’t currently solving a problem to help her practice her thinking skills, which will come in handy when she does have a problem to solve.

If you need some tips on how to encourage a growth mindset in your child, don't forget to download our FREE Your Words Matter Volume 2 Kit .

Break Down Problems into Chunks

This strategy is a more advanced version of “Show me the hard part.”

The bigger your child gets, the bigger her problems get too. When your child is facing a challenge that seems overwhelming or insurmountable, encourage her to break it into smaller, more manageable chunks.

For instance, let’s say your child has a poor grade in history class. Why is the grade so low? What are the causes of this problem?

As usual, LISTEN as your child brainstorms, asking open-ended questions to help if she gets stuck.

If the low grade is the result of missing assignments, perhaps your child can make a list of these assignments and tackle them one at a time. Or if tests are the issue, what’s causing your child to struggle on exams?

Perhaps she’s distracted by friends in the class, has trouble asking for help, and doesn’t spend enough time studying at home. Once you’ve identified these “chunks,” help your child tackle them one at a time until the problem is solved.

Show “ The Broken Escalator Video ”

Discuss the importance of embracing challenges and solving problems independently with the “broken escalator video.”

In the video, an escalator unexpectedly breaks. The people on the escalator are “stuck” and yelling for help. At this age, it’s likely that your child will find the video funny and immediately offer a solution: “Just walk! Get off the escalator!”

Tell your child that this is a simple example of how people sometimes act in difficult situations. Ask, “Why do you think they didn’t get off the escalator?” (they didn’t know how, they were waiting for help, etc.)

Sometimes, your child might feel “stuck” when facing problems. They may stop and ask for help before even attempting to find a solution. Encourage your child to embrace challenges and work through problems instead.

Problem-Solve with Prompts

Provide your child or a group of children with materials such as straws, cotton balls, yarn, clothespins, tape, paper clips, sticky notes, Popsicle sticks, etc.

With just these materials, challenge your kids to solve unusual problems like:

• Make a leprechaun trap
• Create a jump ramp for cars
• Design your own game with rules
• Make a device for two people to communicate with one another

This is a fun way to practice critical thinking and creative problem-solving. Most likely, it will take multiple attempts to find a solution that works, which can apply to just about any aspect of life.

Make Them Work for It

When your child asks for a new toy, technology, or clothes, have her make a plan to obtain the desired item herself. Not only will your child have to brainstorm and evaluate solutions, but she’ll also gain confidence .

Ask your child HOW she can earn the money for the item that she wants, and encourage her as she works toward her goal .

Put It on Paper

Have your child write out their problems on paper and brainstorm some potential solutions.

But now, she takes this process a step further: After attempting each solution, which succeeded? Which were unsuccessful? Why ?

This helps your child reflect on various outcomes, learning what works and what doesn’t. The lessons she learns here will be useful when she encounters similar problems in the future.

Play Chess Together

Learning to play chess is a great way for kids to learn problem-solving AND build their brains at the same time. It requires players to use critical thinking, creativity, analysis of the board, recognize patterns, and more. There are online versions of the game, books on how to play, videos, and other resources. Don’t know how to play? Learn with your teen to connect and problem solve together!

Have Them Learn To Code

Our teens and tweens are already tech-savvy and can use their skills to solve problems by learning to code. Coding promotes creativity, logic, planning, and persistence . There are many great tools and online or in-person programs that can boost your child’s coding skills.

Encourage to Start a Meaningful Project

This project has to be meaningful to your teen, for example starting a YouTube channel. Your teen will practice problem-solving skills as they’re figuring out how to grow their audience, how to have their videos discovered, and much more. 

In the Big Life Journal - Teen Edition , there’s a section that guides them through planning their YouTube channel and beginning the problem-solving process.

Apply the SODAS Method

Looking for a game plan that your teen can employ when faced with a problem? The SODAS method can be used for big or small problems. Just remember this simple acronym and follow these ideas:

• D isadvantages
• A dvantages

Encourage to Join Problem-Solving Groups

Does your teen enjoy solving problems in a team? Have them join a group or club that helps them hone their skills in a variety of settings--from science and robotics to debating and international affairs. Some examples of groups include: 

• Odyssey of the Mind
• Debate team
• Science Olympiad

Looking for additional resources?  The Bestseller’s Bundle includes our three most popular printable kits packed with science-based activities, guides, and crafts for children. Our Growth Mindset Kit, Resilience Kit, and Challenges Kit work together as a comprehensive system designed specifically for children ages 5-11.

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25 thoughts on “ How to Teach Problem-Solving Skills to Children and Preteens ”

I love, love, love the point about emotional coaching. It’s so important to identify how children are feeling about a problem and then approach the solutions accordingly.

Thank you for putting this together. I wrote an article on problem-solving specifically from the point of view of developing a STEM aptitude in kids, if you like to check it out – https://kidpillar.com/how-to-teach-problem-solving-to-your-kids-5-8-years/

I feel that these techniques will work for my kid.. Worthy.. Thank you

I love you guys

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5 Teaching Mathematics Through Problem Solving

Janet Stramel

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.

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

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

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?

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

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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17 Fun Problem Solving Activities for Kids

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As a child, I would spend hours putting together puzzles… whether it was 3-D puzzles or figuring out a crossword. I also loved it when teachers would give the class an open-ended question and we had to work in groups to figure out the answer in our own way.

Even something as simple as playing checkers with my brothers gave me the chance to use strategy as a way to win the game. I honestly believe that it’s so important for kids to solve problems at a young age, as it helps them think critically and outside the box.

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So, Why Is It Important To Teach Kids Problem Solving?

I think these kinds of activities are so important for kids to do because it helps them learn how to think analytically and solve problems on their own. It's a great way to get kids to use their imaginations and be creative.

Rote memorization simply does not have the same effect. This type of learning is great for learning facts like historical dates, but it’s not going to help kids figure out how events in history happened and the results.

We take these problem-solving skills into college, the workforce, and travel . My ability to problem solve since childhood has certainly got me through many sticky situations while in a new city or country.

Additionally, problem-solving helps children learn how to find creative solutions to challenges they may face both in and out of the classroom . These activities can also be fun and used in cohesion with school or playtime.

17 Fun Problem-Solving Activities for Kids

1. marble mazes.

This activity was selected because it requires them to think spatially. Spatial learning will benefit kids when they start driving, riding a bike, playing sports,etc.

To do this activity in its simplest form, you will need a piece of paper, a pencil, and some marbles. First, draw a maze on a piece of paper using a pencil.

Make sure to create a start and finish point. Then, place the marbles at the start of the maze. The goal is to get the marbles from the start to the finish by tilting the paper and using gravity to guide the marbles through the maze.

Another example of a marble maze can involve using toilet paper rolls taped together to create a three-dimensional maze. The larger the maze, the harder you can make it.

Check Price on Amazon!

If you are not into the DIY method, you can always buy a toy maze on Amazon. A good 48 piece puzzle is the Melissa & Doug Underwater Ocean Floor puzzle.

2. The Tower Challenge

Building a tower gives kids the chance to think about gravity, structure, and balance.

To do this activity, you will need some building materials like legos, blocks, or even toilet paper rolls. The challenge is to see how high they can stack the materials without the tower toppling over.

This can be done individually or in teams. An activity like this is good for younger kids and is the building block to learning about harder topics like engineering.

3. The Egg Drop Challenge

The egg drop challenge helps kids learn how to engineer a solution that prevents something from breaking. It requires them to think critically about which materials will best protect something fragile like an egg when dropped from a height.

To do this activity, you will need some eggs and various materials such as straws, cotton balls, bubble wrap, etc. The goal is to construct a device that will protect an egg from breaking upon impact.

This can be done individually or in teams . Teams can even have a competition for the best egg drop device.

As children begin handling, shopping for, and cooking their own food, activities like this will help them understand how to handle breakable items like bottles, eggs, delicate fruit,.etc. Ideally, this is best for age groups 8 and up.

4. The Penny Drop Challenge

This activity was selected because it requires kids to think about physics and how different materials affect sound.

To do this activity, you will need a penny ( or another coin), a cup, and various materials such as paper towels, cotton balls, etc.

The goal is to drop the penny into the cup without making any noise. Begin by placing different materials into the cup and then drop the penny into it. The children should also drop the penny from different heights into the same material to see if/how the impact from a higher drop affects sound.

Group kids into teams or let them try it on their own.

Kids should make note of what type of sounds are made when the penny hits different materials. This is a great activity for kids who are interested in science and physics.

5. The Balloon Race Challenge

This activity was selected because it helps kids learn about aerodynamics and Bernoulli’s principle . It also requires them to think creatively about how to design a balloon-powered vehicle.

To do this activity, you will need balloons, straws, masking tape, and markers. The goal is to design a balloon-powered vehicle that can travel a distance of at least 10 feet. Kids can begin this activity by sketching out their designs on paper.

After they have a basic design, they can begin building their vehicle from various materials. Then kids can explain why they think the balloon traveled or did not travel as far as it did.

6. The Marshmallow Challenge

Marshmallows are not only delicious, but they are also soft and malleable. So kids can have fun using it for some construction projects.

This activity was selected because it requires kids to think creatively about how to build a structure using limited materials. It also helps them learn about engineering and work as a team.

To do this activity, you will need marshmallows and spaghetti noodles. The goal is to build the tallest free-standing structure possible using only marshmallows and spaghetti noodles. If you don't have spaghetti noodles, use something similar like pretzel sticks.

You may even want to establish certain rules like each team can only use a certain number of marshmallows or noodles. A time limit can also make it more fun and challenging.

For more fun activities, check out our post on problem solving exercises for team building .

7. The Balloon Pop Challenge

If you remember your childhood, you probably remember popping balloons for fun at times. But this activity is different because it requires kids to use strategy and critical thinking.

This activity was selected because it helps kids learn about patterns and problem-solving. It is also a lot of fun for kids who like popping balloons. The goal is to create a device that will allow them to pop a balloon without using their hands.

To do this activity, you will need balloons and various materials such as straws, string, paper clips, etc.

8. Picture Pieces Puzzle Game

As mentioned earlier, puzzles are a great pastime – especially in childhood. Kids must think critically about how to put the pieces together to create a certain picture. It also helps them learn about shapes, colors, and other concepts.

You can take a medium to large picture and cut it into pieces. If you have younger kids, you may want to make the pieces larger. However, if you have kids closer to the 8-11 age range, you should be able to provide a challenge and make the pieces smaller.

9. Copy the Block Model

For this challenge, you can build a model out of blocks for the kids to copy. Put kids into groups and make sure each group has the same number of blocks you used for your model.

Make your model block as simple or complex as needed for your child's age group.

Set a time limit and make sure each group starts at the same time.

10. Team Scavenger Hunt

A scavenger hunt is great for kids because they have to search for items and use investigative skills. It is also a lot of fun and can be done both indoors and outdoors .

To do this activity, you will need to create a list of items for the kids to find. The items can be anything from common household items to things you would find outside.

These types of activities can also revolve around a theme like a holiday, movie, or book. For example, if the kids are fans of “Harry Potter” you can make a list of items to find that are related to the movie.

11. Obstacle Course

This activity requires kids to think creatively about how to get from one point to another while maneuvering around obstacles. If you have outdoor space, this can be done with common objects such as hula hoops, cones, etc.

If you don't have access to an outdoor space, you can use common household items to create an indoor obstacle course. For example, you can use chairs, blankets, pillows, etc.

Begin by setting up the course and then timing each child as they complete it. You can also have them race against each other to make it more fun.

Obstacle courses are also great because kids get to be physically active while they are thinking critically.

12. Reading Storybooks

There are many great benefits for kids that read storybooks.  One of the excellent benefits is the ability to problem-solve.  When they read the stories in the books, they see scenarios that cause them to be attached to the various characters they read about. 

So, when they encounter a real-life problem, it is often productive to ask a child how their favorite character would solve that problem.  Your kids can also be encouraged to come up with various options and possible outcomes for some of the situations they may encounter. 

This not only helps kids solve various problems but become more independent as well. 

13. Ask Them Open-Ended Questions

A good way to improve a child's ability to think critically and creatively and improve their ability to solve problems is by asking open-ended questions.  It also helps them to develop healthy personalities .

There are no right or wrong answers to these questions.  In addition, the solution requires more than a simple “yes” or “no” answer.  Furthermore, it allows kids to put some extra thought into their responses. 

Here are some examples of open-ended questions you may want to ask. 

• What did this experience teach you?
• Was this easy?  What was easy about it?
• What this difficult?  What is complicated about it?
• What may happen next in this situation?
• How did you come to this solution?
• What, if anything, would you do differently next time?
• What can we do to make things more fun next time?

14. Build Various Structures with Toys

Whether wooden blocks, LEGO blocks, or engineering blocks… giving your kid blocks to build whatever their minds can dream up is fun.  In addition, it requires them to think about how they will make a structure, put the pieces together, and creatively ensure the building's function and design. 

You may also want to challenge them to build something more complicated and watch them use their brain power to make it happen. 

15. Acting Out Skits

Impromptu activities like acting out skits help kids identify problems, develop solutions, and execute them.  This process works with multiple kids being divided into teams. 

First, you will want to write down different situations, such as resolving a disagreement between siblings or dealing with bullying on the playground on a piece of paper.  Second, you will fold the paper and place it in a hat or bowl.  

Third, each team will pick a scenario out of the hat.  Finally, you can give the kids a few minutes to discuss their solution and act out. 

16. Solving Moral Dilemmas   

In this simple game, you will help your kids solve simple dilemmas they may find themselves in.  You could write down a situation your child may find themselves in and help them learn the moral way to solve the problem.   

For instance, “The cashier gave them an additional $5 change back on my purchase.  What should they do?”  Another scenario could be, “I saw my friend cheating on a test.  Should I tell on them or let it go?”  A third one could be, “I caught my friends stealing some gum from the store.  What should I do?” 

After writing down the dilemmas and placing them in a bowl, get each child to select one and read it aloud.  Finally, you will help them devise morally correct solutions to the moral dilemma. 

17. Animal Pairing Game  

This is a fun and creative game to help your kids with focus, critical thinking, and team building skills .  In addition, this activity requires an even number of players to participate (4, 6, 8, etc.) 

Before starting the game, you will want to write the names of different animals twice, each on a separate slip of paper.  Then pass out the slips of paper to each individual or team member, instructing them not to share with anyone the name of the animal they received. 

Then the children will perform activities the animals might do without talking or making sounds.  Some of these activities might include:

• The way the animal cleans or grooms itself
• The way the animal sleeps
• The way the animal fights
• The way the animal eats or drinks
• The way the animal walks or runs

The goal is for each child to successfully pair up with the other child who has selected the same animal.

How Problem Solving in Childhood Helps in Adulthood

Children are not born with problem-solving skills. It is something that needs to be learned and developed over time .

From babies who learn how to communicate their needs to toddlers who figure out how to get what they want, to children who are starting to understand the consequences of their actions – problem-solving is a process that begins in childhood and continues into adulthood.

Some of the benefits of teaching problem-solving skills to children include:

• Improved critical thinking skills
• Better decision-making skills
• Enhanced creativity
• Improved communication and collaboration skills
• Increased confidence

There are many ways to teach problem-solving skills to children. The activities mentioned above are just a few examples. It is important to find activities that are appropriate for the age and abilities of the child.

With practice, children will develop these skills and be better prepared to face challenges in both childhood and adulthood.

Final Thoughts About Fun Problem Solving Activities For Kids

These are just a few ideas to get you started on teaching your child crucial problem solving skills. Perhaps they’ve inspired to come with some of your own, or seek out others? The important thing is to make sure the activity is age-appropriate and challenging enough to engage the kids.

Problem-solving skills are important for kids to learn because they can be applied to various situations in life. These skills also promote critical thinking, which is an important life skill.

There are many other problem-solving activities for kids out there. In time, you’ll find the ones that work best for your child.  And be sure not to forget about your own needs and self-improvement, both of which will make you a better parent and mentor. Here are some useful activities for adults to get your started.

Finally, if you want to level up your parenting skills, then check out this resource that will show you how to get your kids to listen WITHOUT yelling, nagging, or losing control .

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Teaching Methods for Solving Word Problems

This teacher professional development course will teach you about the challenges students often encounter when solving word problems and present varied solutions for teaching problem-solving skills to your students. You will be provided with a detailed plan for teaching two different problem-solving strategies in your classroom, depending on your students' needs: the GUESS method and the CUBES method for word problems. The course also comes with a downloadable PDF of the course content, graphic organizers, and supporting student resources.

• The video and article will provide you with two specific methods for solving word problems and ideas for teaching your students these skills. You will learn about common strategies required for solving word problems and challenges that arise so you can help correct and support your students. The course also includes some "Reflect or Discuss" prompts to help you connect with the course content and ends with a "Try This Task" to guide you explicitly on how you might implement the ideas into the classroom.
• You will answer questions related to strategies for solving word problems. Quizzes are automatically scored and provide feedback on answer choice rationale.
• The reflection prompt requires you to plan for use of the "try this task" by either reflecting on the content yourself or discussing them with the colleague. You will then discuss a new concept you can attempt to implement in the future based on something you learned in the course.
• This short statement helps you reflect on your ideas and assess whether you might be successful in your implementation.
• Additional content suggestions are provided to enhance and expand your understanding of supporting students in word probably analysis.

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• This course can be taken on either a PC, Mac, or Chromebook.

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• Editing of a Microsoft Word document is required in this course. You may use a free version of Microsoft Word Online, or Google Docs if you do not have Microsoft Office installed on your computer. Model Teaching can provide support for this.
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• Software must be installed and fully operational before the course begins.
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The instructional materials required for this course are included in enrollment and will be available online.

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Do You Understand the Problem You’re Trying to Solve?

To solve tough problems at work, first ask these questions.

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Problem solving skills are invaluable in any job. But all too often, we jump to find solutions to a problem without taking time to really understand the dilemma we face, according to Thomas Wedell-Wedellsborg , an expert in innovation and the author of the book, What’s Your Problem?: To Solve Your Toughest Problems, Change the Problems You Solve .

In this episode, you’ll learn how to reframe tough problems by asking questions that reveal all the factors and assumptions that contribute to the situation. You’ll also learn why searching for just one root cause can be misleading.

Key episode topics include: leadership, decision making and problem solving, power and influence, business management.

HBR On Leadership curates the best case studies and conversations with the world’s top business and management experts, to help you unlock the best in those around you. New episodes every week.

• Listen to the original HBR IdeaCast episode: The Secret to Better Problem Solving (2016)
• Find more episodes of HBR IdeaCast
• Discover 100 years of Harvard Business Review articles, case studies, podcasts, and more at HBR.org .

HANNAH BATES: Welcome to HBR on Leadership , case studies and conversations with the world’s top business and management experts, hand-selected to help you unlock the best in those around you.

Problem solving skills are invaluable in any job. But even the most experienced among us can fall into the trap of solving the wrong problem.

Thomas Wedell-Wedellsborg says that all too often, we jump to find solutions to a problem – without taking time to really understand what we’re facing.

He’s an expert in innovation, and he’s the author of the book, What’s Your Problem?: To Solve Your Toughest Problems, Change the Problems You Solve .

  In this episode, you’ll learn how to reframe tough problems, by asking questions that reveal all the factors and assumptions that contribute to the situation. You’ll also learn why searching for one root cause can be misleading. And you’ll learn how to use experimentation and rapid prototyping as problem-solving tools.

This episode originally aired on HBR IdeaCast in December 2016. Here it is.

SARAH GREEN CARMICHAEL: Welcome to the HBR IdeaCast from Harvard Business Review. I’m Sarah Green Carmichael.

Problem solving is popular. People put it on their resumes. Managers believe they excel at it. Companies count it as a key proficiency. We solve customers’ problems.

The problem is we often solve the wrong problems. Albert Einstein and Peter Drucker alike have discussed the difficulty of effective diagnosis. There are great frameworks for getting teams to attack true problems, but they’re often hard to do daily and on the fly. That’s where our guest comes in.

Thomas Wedell-Wedellsborg is a consultant who helps companies and managers reframe their problems so they can come up with an effective solution faster. He asks the question “Are You Solving The Right Problems?” in the January-February 2017 issue of Harvard Business Review. Thomas, thank you so much for coming on the HBR IdeaCast .

THOMAS WEDELL-WEDELLSBORG: Thanks for inviting me.

SARAH GREEN CARMICHAEL: So, I thought maybe we could start by talking about the problem of talking about problem reframing. What is that exactly?

THOMAS WEDELL-WEDELLSBORG: Basically, when people face a problem, they tend to jump into solution mode to rapidly, and very often that means that they don’t really understand, necessarily, the problem they’re trying to solve. And so, reframing is really a– at heart, it’s a method that helps you avoid that by taking a second to go in and ask two questions, basically saying, first of all, wait. What is the problem we’re trying to solve? And then crucially asking, is there a different way to think about what the problem actually is?

SARAH GREEN CARMICHAEL: So, I feel like so often when this comes up in meetings, you know, someone says that, and maybe they throw out the Einstein quote about you spend an hour of problem solving, you spend 55 minutes to find the problem. And then everyone else in the room kind of gets irritated. So, maybe just give us an example of maybe how this would work in practice in a way that would not, sort of, set people’s teeth on edge, like oh, here Sarah goes again, reframing the whole problem instead of just solving it.

THOMAS WEDELL-WEDELLSBORG: I mean, you’re bringing up something that’s, I think is crucial, which is to create legitimacy for the method. So, one of the reasons why I put out the article is to give people a tool to say actually, this thing is still important, and we need to do it. But I think the really critical thing in order to make this work in a meeting is actually to learn how to do it fast, because if you have the idea that you need to spend 30 minutes in a meeting delving deeply into the problem, I mean, that’s going to be uphill for most problems. So, the critical thing here is really to try to make it a practice you can implement very, very rapidly.

There’s an example that I would suggest memorizing. This is the example that I use to explain very rapidly what it is. And it’s basically, I call it the slow elevator problem. You imagine that you are the owner of an office building, and that your tenants are complaining that the elevator’s slow.

Now, if you take that problem framing for granted, you’re going to start thinking creatively around how do we make the elevator faster. Do we install a new motor? Do we have to buy a new lift somewhere?

The thing is, though, if you ask people who actually work with facilities management, well, they’re going to have a different solution for you, which is put up a mirror next to the elevator. That’s what happens is, of course, that people go oh, I’m busy. I’m busy. I’m– oh, a mirror. Oh, that’s beautiful.

And then they forget time. What’s interesting about that example is that the idea with a mirror is actually a solution to a different problem than the one you first proposed. And so, the whole idea here is once you get good at using reframing, you can quickly identify other aspects of the problem that might be much better to try to solve than the original one you found. It’s not necessarily that the first one is wrong. It’s just that there might be better problems out there to attack that we can, means we can do things much faster, cheaper, or better.

SARAH GREEN CARMICHAEL: So, in that example, I can understand how A, it’s probably expensive to make the elevator faster, so it’s much cheaper just to put up a mirror. And B, maybe the real problem people are actually feeling, even though they’re not articulating it right, is like, I hate waiting for the elevator. But if you let them sort of fix their hair or check their teeth, they’re suddenly distracted and don’t notice.

But if you have, this is sort of a pedestrian example, but say you have a roommate or a spouse who doesn’t clean up the kitchen. Facing that problem and not having your elegant solution already there to highlight the contrast between the perceived problem and the real problem, how would you take a problem like that and attack it using this method so that you can see what some of the other options might be?

THOMAS WEDELL-WEDELLSBORG: Right. So, I mean, let’s say it’s you who have that problem. I would go in and say, first of all, what would you say the problem is? Like, if you were to describe your view of the problem, what would that be?

SARAH GREEN CARMICHAEL: I hate cleaning the kitchen, and I want someone else to clean it up.

THOMAS WEDELL-WEDELLSBORG: OK. So, my first observation, you know, that somebody else might not necessarily be your spouse. So, already there, there’s an inbuilt assumption in your question around oh, it has to be my husband who does the cleaning. So, it might actually be worth, already there to say, is that really the only problem you have? That you hate cleaning the kitchen, and you want to avoid it? Or might there be something around, as well, getting a better relationship in terms of how you solve problems in general or establishing a better way to handle small problems when dealing with your spouse?

SARAH GREEN CARMICHAEL: Or maybe, now that I’m thinking that, maybe the problem is that you just can’t find the stuff in the kitchen when you need to find it.

THOMAS WEDELL-WEDELLSBORG: Right, and so that’s an example of a reframing, that actually why is it a problem that the kitchen is not clean? Is it only because you hate the act of cleaning, or does it actually mean that it just takes you a lot longer and gets a lot messier to actually use the kitchen, which is a different problem. The way you describe this problem now, is there anything that’s missing from that description?

SARAH GREEN CARMICHAEL: That is a really good question.

THOMAS WEDELL-WEDELLSBORG: Other, basically asking other factors that we are not talking about right now, and I say those because people tend to, when given a problem, they tend to delve deeper into the detail. What often is missing is actually an element outside of the initial description of the problem that might be really relevant to what’s going on. Like, why does the kitchen get messy in the first place? Is it something about the way you use it or your cooking habits? Is it because the neighbor’s kids, kind of, use it all the time?

There might, very often, there might be issues that you’re not really thinking about when you first describe the problem that actually has a big effect on it.

SARAH GREEN CARMICHAEL: I think at this point it would be helpful to maybe get another business example, and I’m wondering if you could tell us the story of the dog adoption problem.

THOMAS WEDELL-WEDELLSBORG: Yeah. This is a big problem in the US. If you work in the shelter industry, basically because dogs are so popular, more than 3 million dogs every year enter a shelter, and currently only about half of those actually find a new home and get adopted. And so, this is a problem that has persisted. It’s been, like, a structural problem for decades in this space. In the last three years, where people found new ways to address it.

So a woman called Lori Weise who runs a rescue organization in South LA, and she actually went in and challenged the very idea of what we were trying to do. She said, no, no. The problem we’re trying to solve is not about how to get more people to adopt dogs. It is about keeping the dogs with their first family so they never enter the shelter system in the first place.

In 2013, she started what’s called a Shelter Intervention Program that basically works like this. If a family comes and wants to hand over their dog, these are called owner surrenders. It’s about 30% of all dogs that come into a shelter. All they would do is go up and ask, if you could, would you like to keep your animal? And if they said yes, they would try to fix whatever helped them fix the problem, but that made them turn over this.

And sometimes that might be that they moved into a new building. The landlord required a deposit, and they simply didn’t have the money to put down a deposit. Or the dog might need a $10 rabies shot, but they didn’t know how to get access to a vet.

And so, by instigating that program, just in the first year, she took her, basically the amount of dollars they spent per animal they helped went from something like $85 down to around $60. Just an immediate impact, and her program now is being rolled out, is being supported by the ASPCA, which is one of the big animal welfare stations, and it’s being rolled out to various other places.

And I think what really struck me with that example was this was not dependent on having the internet. This was not, oh, we needed to have everybody mobile before we could come up with this. This, conceivably, we could have done 20 years ago. Only, it only happened when somebody, like in this case Lori, went in and actually rethought what the problem they were trying to solve was in the first place.

SARAH GREEN CARMICHAEL: So, what I also think is so interesting about that example is that when you talk about it, it doesn’t sound like the kind of thing that would have been thought of through other kinds of problem solving methods. There wasn’t necessarily an After Action Review or a 5 Whys exercise or a Six Sigma type intervention. I don’t want to throw those other methods under the bus, but how can you get such powerful results with such a very simple way of thinking about something?

THOMAS WEDELL-WEDELLSBORG: That was something that struck me as well. This, in a way, reframing and the idea of the problem diagnosis is important is something we’ve known for a long, long time. And we’ve actually have built some tools to help out. If you worked with us professionally, you are familiar with, like, Six Sigma, TRIZ, and so on. You mentioned 5 Whys. A root cause analysis is another one that a lot of people are familiar with.

Those are our good tools, and they’re definitely better than nothing. But what I notice when I work with the companies applying those was those tools tend to make you dig deeper into the first understanding of the problem we have. If it’s the elevator example, people start asking, well, is that the cable strength, or is the capacity of the elevator? That they kind of get caught by the details.

That, in a way, is a bad way to work on problems because it really assumes that there’s like a, you can almost hear it, a root cause. That you have to dig down and find the one true problem, and everything else was just symptoms. That’s a bad way to think about problems because problems tend to be multicausal.

There tend to be lots of causes or levers you can potentially press to address a problem. And if you think there’s only one, if that’s the right problem, that’s actually a dangerous way. And so I think that’s why, that this is a method I’ve worked with over the last five years, trying to basically refine how to make people better at this, and the key tends to be this thing about shifting out and saying, is there a totally different way of thinking about the problem versus getting too caught up in the mechanistic details of what happens.

SARAH GREEN CARMICHAEL: What about experimentation? Because that’s another method that’s become really popular with the rise of Lean Startup and lots of other innovation methodologies. Why wouldn’t it have worked to, say, experiment with many different types of fixing the dog adoption problem, and then just pick the one that works the best?

THOMAS WEDELL-WEDELLSBORG: You could say in the dog space, that’s what’s been going on. I mean, there is, in this industry and a lot of, it’s largely volunteer driven. People have experimented, and they found different ways of trying to cope. And that has definitely made the problem better. So, I wouldn’t say that experimentation is bad, quite the contrary. Rapid prototyping, quickly putting something out into the world and learning from it, that’s a fantastic way to learn more and to move forward.

My point is, though, that I feel we’ve come to rely too much on that. There’s like, if you look at the start up space, the wisdom is now just to put something quickly into the market, and then if it doesn’t work, pivot and just do more stuff. What reframing really is, I think of it as the cognitive counterpoint to prototyping. So, this is really a way of seeing very quickly, like not just working on the solution, but also working on our understanding of the problem and trying to see is there a different way to think about that.

If you only stick with experimentation, again, you tend to sometimes stay too much in the same space trying minute variations of something instead of taking a step back and saying, wait a minute. What is this telling us about what the real issue is?

SARAH GREEN CARMICHAEL: So, to go back to something that we touched on earlier, when we were talking about the completely hypothetical example of a spouse who does not clean the kitchen–

THOMAS WEDELL-WEDELLSBORG: Completely, completely hypothetical.

SARAH GREEN CARMICHAEL: Yes. For the record, my husband is a great kitchen cleaner.

You started asking me some questions that I could see immediately were helping me rethink that problem. Is that kind of the key, just having a checklist of questions to ask yourself? How do you really start to put this into practice?

THOMAS WEDELL-WEDELLSBORG: I think there are two steps in that. The first one is just to make yourself better at the method. Yes, you should kind of work with a checklist. In the article, I kind of outlined seven practices that you can use to do this.

But importantly, I would say you have to consider that as, basically, a set of training wheels. I think there’s a big, big danger in getting caught in a checklist. This is something I work with.

My co-author Paddy Miller, it’s one of his insights. That if you start giving people a checklist for things like this, they start following it. And that’s actually a problem, because what you really want them to do is start challenging their thinking.

So the way to handle this is to get some practice using it. Do use the checklist initially, but then try to step away from it and try to see if you can organically make– it’s almost a habit of mind. When you run into a colleague in the hallway and she has a problem and you have five minutes, like, delving in and just starting asking some of those questions and using your intuition to say, wait, how is she talking about this problem? And is there a question or two I can ask her about the problem that can help her rethink it?

SARAH GREEN CARMICHAEL: Well, that is also just a very different approach, because I think in that situation, most of us can’t go 30 seconds without jumping in and offering solutions.

THOMAS WEDELL-WEDELLSBORG: Very true. The drive toward solutions is very strong. And to be clear, I mean, there’s nothing wrong with that if the solutions work. So, many problems are just solved by oh, you know, oh, here’s the way to do that. Great.

But this is really a powerful method for those problems where either it’s something we’ve been banging our heads against tons of times without making progress, or when you need to come up with a really creative solution. When you’re facing a competitor with a much bigger budget, and you know, if you solve the same problem later, you’re not going to win. So, that basic idea of taking that approach to problems can often help you move forward in a different way than just like, oh, I have a solution.

I would say there’s also, there’s some interesting psychological stuff going on, right? Where you may have tried this, but if somebody tries to serve up a solution to a problem I have, I’m often resistant towards them. Kind if like, no, no, no, no, no, no. That solution is not going to work in my world. Whereas if you get them to discuss and analyze what the problem really is, you might actually dig something up.

Let’s go back to the kitchen example. One powerful question is just to say, what’s your own part in creating this problem? It’s very often, like, people, they describe problems as if it’s something that’s inflicted upon them from the external world, and they are innocent bystanders in that.

SARAH GREEN CARMICHAEL: Right, or crazy customers with unreasonable demands.

THOMAS WEDELL-WEDELLSBORG: Exactly, right. I don’t think I’ve ever met an agency or consultancy that didn’t, like, gossip about their customers. Oh, my god, they’re horrible. That, you know, classic thing, why don’t they want to take more risk? Well, risk is bad.

It’s their business that’s on the line, not the consultancy’s, right? So, absolutely, that’s one of the things when you step into a different mindset and kind of, wait. Oh yeah, maybe I actually am part of creating this problem in a sense, as well. That tends to open some new doors for you to move forward, in a way, with stuff that you may have been struggling with for years.

SARAH GREEN CARMICHAEL: So, we’ve surfaced a couple of questions that are useful. I’m curious to know, what are some of the other questions that you find yourself asking in these situations, given that you have made this sort of mental habit that you do? What are the questions that people seem to find really useful?

THOMAS WEDELL-WEDELLSBORG: One easy one is just to ask if there are any positive exceptions to the problem. So, was there day where your kitchen was actually spotlessly clean? And then asking, what was different about that day? Like, what happened there that didn’t happen the other days? That can very often point people towards a factor that they hadn’t considered previously.

SARAH GREEN CARMICHAEL: We got take-out.

THOMAS WEDELL-WEDELLSBORG: S,o that is your solution. Take-out from [INAUDIBLE]. That might have other problems.

Another good question, and this is a little bit more high level. It’s actually more making an observation about labeling how that person thinks about the problem. And what I mean with that is, we have problem categories in our head. So, if I say, let’s say that you describe a problem to me and say, well, we have a really great product and are, it’s much better than our previous product, but people aren’t buying it. I think we need to put more marketing dollars into this.

Now you can go in and say, that’s interesting. This sounds like you’re thinking of this as a communications problem. Is there a different way of thinking about that? Because you can almost tell how, when the second you say communications, there are some ideas about how do you solve a communications problem. Typically with more communication.

And what you might do is go in and suggest, well, have you considered that it might be, say, an incentive problem? Are there incentives on behalf of the purchasing manager at your clients that are obstructing you? Might there be incentive issues with your own sales force that makes them want to sell the old product instead of the new one?

So literally, just identifying what type of problem does this person think about, and is there different potential way of thinking about it? Might it be an emotional problem, a timing problem, an expectations management problem? Thinking about what label of what type of problem that person is kind of thinking as it of.

SARAH GREEN CARMICHAEL: That’s really interesting, too, because I think so many of us get requests for advice that we’re really not qualified to give. So, maybe the next time that happens, instead of muddying my way through, I will just ask some of those questions that we talked about instead.

THOMAS WEDELL-WEDELLSBORG: That sounds like a good idea.

SARAH GREEN CARMICHAEL: So, Thomas, this has really helped me reframe the way I think about a couple of problems in my own life, and I’m just wondering. I know you do this professionally, but is there a problem in your life that thinking this way has helped you solve?

THOMAS WEDELL-WEDELLSBORG: I’ve, of course, I’ve been swallowing my own medicine on this, too, and I think I have, well, maybe two different examples, and in one case somebody else did the reframing for me. But in one case, when I was younger, I often kind of struggled a little bit. I mean, this is my teenage years, kind of hanging out with my parents. I thought they were pretty annoying people. That’s not really fair, because they’re quite wonderful, but that’s what life is when you’re a teenager.

And one of the things that struck me, suddenly, and this was kind of the positive exception was, there was actually an evening where we really had a good time, and there wasn’t a conflict. And the core thing was, I wasn’t just seeing them in their old house where I grew up. It was, actually, we were at a restaurant. And it suddenly struck me that so much of the sometimes, kind of, a little bit, you love them but they’re annoying kind of dynamic, is tied to the place, is tied to the setting you are in.

And of course, if– you know, I live abroad now, if I visit my parents and I stay in my old bedroom, you know, my mother comes in and wants to wake me up in the morning. Stuff like that, right? And it just struck me so, so clearly that it’s– when I change this setting, if I go out and have dinner with them at a different place, that the dynamic, just that dynamic disappears.

SARAH GREEN CARMICHAEL: Well, Thomas, this has been really, really helpful. Thank you for talking with me today.

THOMAS WEDELL-WEDELLSBORG: Thank you, Sarah.  

HANNAH BATES: That was Thomas Wedell-Wedellsborg in conversation with Sarah Green Carmichael on the HBR IdeaCast. He’s an expert in problem solving and innovation, and he’s the author of the book, What’s Your Problem?: To Solve Your Toughest Problems, Change the Problems You Solve .

We’ll be back next Wednesday with another hand-picked conversation about leadership from the Harvard Business Review. If you found this episode helpful, share it with your friends and colleagues, and follow our show on Apple Podcasts, Spotify, or wherever you get your podcasts. While you’re there, be sure to leave us a review.

We’re a production of Harvard Business Review. If you want more podcasts, articles, case studies, books, and videos like this, find it all at HBR dot org.

This episode was produced by Anne Saini, and me, Hannah Bates. Ian Fox is our editor. Music by Coma Media. Special thanks to Maureen Hoch, Adi Ignatius, Karen Player, Ramsey Khabbaz, Nicole Smith, Anne Bartholomew, and you – our listener.

See you next week.

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Discovery Play with Littles

2:01 pm ·

15 Powerful Problem Solving Activities for Toddlers and Preschoolers

I looked over to her table and she’s crying. Again. While everyone else is happily working away, she sat there, unable to move, just crying. 

Not asking for help.

Not trying to solve her problem.

Just crying.

I took a deep breath before heading over. We’ve already been at this for several months…isn’t it about time the problem-solving has kicked in yet?

One glance and I could tell what her problem was. She didn’t have her pencil.

Know how I knew?

It laid on the floor beside her. In plain sight.

As a kindergarten teacher, I don’t jump right in and solve problems for kids. It’s good for them to try to solve the problem themselves. This is something she struggled with. 

I reminded myself of the need for patience and empathy as I walked up to her. “What’s wrong, Amanda?” 

“I…can’t…find…my…pencil….” she sputtered out between sobs. 

“Ok, that’s a problem we can solve. What have you tried?” 

“I don’t know.” 

After a long time trying to first, calm her down, and second, come up with some strategies she could try, she finally found her pencil. At that point, everyone else had finished the project. 

What is Problem Solving?

Problem-solving is the process of finding a solution to your problem . This can be quite tricky for some young children, especially those with little experience in finding more than one way to solve a problem.

Why is Problem Solving Important? 

Problem-solving skills are used throughout childhood into adulthood. As adults, we solve problems on a daily basis. Some problems we solve without thinking much- I wanted to make tacos for dinner but forgot to buy the ground beef. What are we going to have for dinner now?

Other problems are significantly more complicated. 

Problems for kiddos can be problems with friendships, the inability to find something that’s needed, or even what to do when things don’t go your way. 

Kids who lack problem-solving skills struggle to maintain friendships or even begin to attempt to solve their own problems. 

Children who lack problem-solving skills are at a higher risk for depression as well.

What Are Problem-Solving Skills?

Problem-solving skills are:

• Breaking Down a Problem into Smaller Parts
• Communication
• Decision-making
• Logical Reasoning
• Perseverance

That’s a big list to teach toddlers and preschoolers. Where do you begin?

The Problem-Solving Steps

Sometimes kids are so overwhelmed with frustration that it affects their ability to solve problems.

Kids feel safe in routines, and routines help them learn and grow. After a few times of repeating this routine, you’ll find your kiddo starts to do this on their own. 

It’s important not to skip straight to solving the problem , because your kiddo needs to be in a calm state of mind to solve the problem, and also they need to know their feelings are valid. 

• The first thing to do when your kiddo is struggling with problem-solving is to validate their emotions.

In doing this, they will feel more understood and learn that their emotions are okay. There are no bad feelings, and we must learn how to manage our emotions. 

This might sound something like “Oh, I can see you are really frustrated that the block won’t fit on there right. Let’s take some deep breaths to help us calm down before we think about what to do next.”

• Next, work through your calm-down process . This may be taking some deep breaths together, hugging a stuffie, or giving your kiddo some quiet time to calm down their heart and mind.
• Identify the problem . This sounds like something you may have already done (before the meltdown) but it’s important to be very clear on the problem you’re solving. Have the child tell you their problem out loud.
• Move on to solution-finding . When your kiddo is ready, talk about what the problem is and three possible solutions. When possible, let your kiddo do all of the talking. This allows him to practice his problem-solving skills. It’s important to remind him that the first thing he tries may not work, and that’s ok. There’s always another way to solve the problem. If he’s prepared for this, solutions that don’t work won’t be such a frustrating experience. 
• After you’ve done that, test your solutions one by one. See what works. If you haven’t found a solution yet, go back and think of different ways you might be able to solve your problem and try again.

Are you tired of hearing “It’s TOO HARD!” followed by a meltdown?

Using this one simple phrase you’ll get in this powerful lesson, you’ll not only be able to help your kiddo not give up but you’ll:

>Activate their superpower of perseverance so that they can turn around a meltdown and keep trying

>Inspire them to use perseverance …even when it’s hard

>Teach them to recognize the warning signs of giving up , and how to turn it around by taking control of their choices.

Grab your powerful FREE video lesson to teach your kiddo one of the most powerful keys to perseverance.

Powerful Activities that Teach Problem-Solving Skills to Toddlers & Preschoolers

These activities below may look simple, but don’t let that deter you from trying them. A lot happens in little developing brains and these powerful activities help toddlers and preschoolers make connections and develop {many} essential skills-more than just problem-solving.

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Puzzles are fun and a great way to encourage cognitive development in children. They are great for spacial reasoning and strengthening problem-solving skills. They also develop memory skills, critical thinking, and the ability to plan and execute the plan. Toddlers will enjoy the simple puzzles, and preschoolers will do great with floor puzzles with larger puzzle pieces.

Doing Simple Chores

Doing simple chores is a great way to teach children problem-solving skills, and it strengthens responsibility and perseverance as well. 

During the toddler years , you may start with just picking up their toys, or helping you put their dirty clothes in the hamper. 

Preschoolers can take their dirty dishes to the sink (or load them in the dishwasher), collect the trash, dust, wipe baseboards, and do their own personal care items like making their bed, taking care of their dirty clothes, and putting clean clothes away.

Stacking Rings

When watching a toddler play with stacking rings it doesn’t look like much is happening, but playing with these toys is full of ways to encourage development. It helps with visual and spacial perception and planning ahead, but it also with balance control, crossing the midline, creative play, and gross motor skills. Not to mention it’s a great opportunity to practice problem-solving. 

Playing Hide-and-Seek

Hide and seek has many surprising benefits for kids. Playing hide and seek is like a treasure hunt that helps develop gross motor skills and encourages physical development, as well as problem-solving skills. It also helps young children develop visual tracking, working memory, and social-emotional skills.

Imaginative Play

Imaginative play (also called role-play) builds important skills. Through pretending to be in different situations, kids develop social skills, emotional skills, better communication, and problem-solving skills. Imaginative play is a great idea for young toddlers all the way to older children.

Free Play 

Many young children don’t have {enough} time for free play. Free play is important for healthy brain development , not only developing imagination, cooperation, physical skills, and independence but also providing a great opportunity to strengthen problem-solving skills. 

Playing with Wooden Blocks

Building blocks are a fun way for children to develop creative thinking, imagination, problem-solving, fine motor skills, and if working with others, cooperation, communication, and friendship.

Playing Memory

Memory games improve attention, focus, visual recognition, and concentration. It helps children recognize details and of course, strengthens problem-solving skills. 

Ask Questions

When I see my son struggling with something, my first instinct is to give him choices or at least lead him in the right direction. The better thing to do is to ask very open-ended questions that lead his process, not his thoughts.

Questions like “What’s one way to solve your problem?” are much more effective in teaching problem-solving skills than “Well, where did you last see your stuffy?” 

Read Books and Social Stories

Reading books is one of my favorite ways to teach any skill. It’s extremely effective at teaching, and it’s also an amazing bonding time with kids.

When we read stories, our brain reacts as if we’re living in the story. This is why reading books about skills such as problem-solving is so effective. 

Kids of all ages learn from the people they love . (Yes, even those older kids who you don’t think are paying attention.) Often as adults, we’re too busy going through our daily routine to think about talking about the way we solved the problem at work that day.

Talking about how you use skills such as problem-solving, perseverance, and integrity is a great way to set an example, and an expectation that this is how we do things, and it will provide encouragement for your kiddo to do the same.

Scavenger Hunts

Scavenger hunts are a great group activity that can strengthen your child’s logical thinking and problem-solving skills.

When Your Kiddo is Ready, Add These Activities

Preschoolers would benefit from all of the fun activities on the list above and when they’re ready, feel free to add in the following activities.   

Mazes are great for problem-solving and perseverance, but your kiddo will need to have decent fine motor skills to do these activities. Mazes are one of our favorite activities. We love to take our activity book of mazes in the car with us for road trips. 

Board Games  

Board games are a good way to strengthen problem-solving, teamwork, planning skills, patience, sportsmanship, and communication skills. They also strengthen family relationships by providing some intentional time of connection .

Any board game can also be turned into an academic game with just a deck of cards for whatever skill you’re working on. If you’re working on the alphabet, put one letter on each card. Before each player’s turn, they draw a letter card and say the letter’s name. (You may accidentally forget the name of a letter every now and then to see if your kiddo is really paying attention!) 

Allow Opportunities for Hands-On Investigations

Kids are tactile. They love to touch and explore things with their hands. This is a good activity for toddlers also, as long as they are out of the putting everything in their mouth stage. Hands-on exploration is great for language development, sensory exploration, and problem-solving.

Allowing kids to investigate with their hands allows them to see how the world works up close. It also gives them time and space to try to make things work…and problem-solve when it doesn’t go as they think it should.

The Most Difficult Way (and Most Important Way) To Strengthen Problem-Solving Skills

Watching our kids struggle is hard ! We don’t want to see them having a hard time…and most of the time we don’t want to deal with the impending meltdown. Standing back and giving our kids time and space to work through even simple problems is hard to do. It’s also the most important way to strengthen problem-solving skills. 

As parents, we’re like frogs in boiling water. When our kids are infants, they need us to recognize their needs and solve them immediately. As they get older, they can point to what they want, but we still have a lot of interpreting and problem-solving to do on our own. If we aren’t careful, we stay in this stage and don’t teach our kiddos the steps to problem-solving for themselves. 

The next most difficult thing? Allowing natural consequences to happen. (As long as your child is safe of course.) If your child saves their money for a long time to buy a new toy, but walks down the toy aisle and picks up something you know they’ll be disappointed with, let it happen. It will teach a valuable lesson that will last for years to come.

Another Essential Part of Problem-Solving

Perseverance is a big part of problem-solving. We are rarely able to solve problems the first time, and it’s essential that kids can find more than one solution to a problem. Studies have found that perseverance is actually the biggest predictor of success, even more than aptitude or raw talent. 

An entire module is dedicated to perseverance in our course for kids, Super Kid Adventures . Your kiddo will get 25 teacher-led lessons on character traits (perseverance, empathy, friendship, responsibility, and wellness) and activities that take their learning further. 

Want a free preview? Grab a FREE Perseverance video lesson that teaches your kiddo one of the most important secrets that help them use perseverance.

Want More? 

If you like this, you’ll love: 

The Ultimate List of Books that Teach Perseverance

7 Simple Ways to Encourage Independence in Young Children

How to Help Your Child Develop Self-Help Skills

Your Turn 

What are your favorite ways to teach problem-solving skills?

About Elizabeth

Elizabeth is a mama of two boys, a former teacher, and the founder of Discovery Play with Littles. Her mission is to make raising kids with character simple and fun. Join us for our best learning through play ideas, character growth activities, and family connection ideas so you can watch your child thrive.

Reader Interactions

As a SLP trying to guide parents as I work with their child. I would like to know what toys to recommend to my parents as I assist in guiding their child’s development in cognition and expressive language.

Perseverance is the biggest predictor of success, even more than raw talent or aptitude.

Grab a FREE lesson to teach your kiddo one of the keys to perseverance...which is how we talk to our brains.

They'll learn what to say when they encounter something difficult, and why it's so important.

PLAY is often talked about as if it were a relief from serious learning. But for children play is serious learning. Play is really the work of childhood. -Mr. Rogers

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The Sunday Read: ‘What I Saw Working at The National Enquirer During Donald Trump’s Rise’

Inside the notorious “catch and kill” campaign that now stands at the heart of the former president’s legal trial..

By Lachlan Cartwright

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At the center of the criminal case against former President Donald Trump in Manhattan is the accusation that Trump took part in a scheme to turn The National Enquirer and its sister publications into an arm of his 2016 presidential campaign. The documents detailed three “hush money” payments made to a series of individuals to guarantee their silence about potentially damaging stories in the months before the election. Because this was done with the goal of helping his election chances, the case implied, these payments amounted to a form of illegal, undisclosed campaign spending. And because Trump created paperwork to make the payments seem like regular legal expenses, that amounted to a criminal effort at a coverup, argued Alvin Bragg, the district attorney of Manhattan. Trump has denied the charges against him.

For Lachlan Cartwright, reading the indictment was like stepping through the looking glass, because it described a three-year period in his own professional life, one that he has come to deeply regret. Now, as a former president faces a criminal trial for the first time in American history, Cartwright is forced to grapple with what really happened at The Enquirer in those years — and whether and how he can ever set things right.

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