5 Strategies for Successful Problem Solving
- Powerful teaching strategies
- December 26, 2023
- Michaela Epstein
Blog > 5 Strategies for Successful Problem Solving
Problem solving can change the way students see maths – and how they see themselves as maths learners.
But, it's tough to help all students get the most out of a task.
To help, here are 5 Strategies for Problem Solving Success.
These are 5 valuable lessons I've learned from working with teachers across the globe . You can use these strategies with all your students, no matter their level.
5 Strategies for Problem Solving Success
Your own enthusiasm is quickly picked up by your students. So, choose a problem, puzzle or game that you’re excited and curious about.
How do you know what will spark your curiosity? Do the task yourself!
(That’s why, in the workshops I run , we spend a lot of time actually exploring problems. It’s a chance to step into students' shoes and experience maths from their perspective.)
Often, curriculum content becomes the goal of problem solving. For example, adding fractions, calculating areas or solving quadratic equations.
But, this is a mistake! Here's why-
Low floor, high ceiling tasks give students choices. Choices about what strategies to use, tools to draw on – and even what end-points to get to.
The most valuable goals focus on building confidence and capability in problem solving. For example:
- To make and break conjectures
- To use and evaluate different strategies
- To organise data in meaningful ways
- To explain and justify their conclusions.
The start of a task is what will get your students curious and hungry to get underway.
Consider: What's the least information your students will need?
At our Members' online PL sessions , we look at one of four possibilities for launching a problem:
- Present a mystery to explore
- Present an example and non-example
- Run a demonstration game
- Show how to use a tool.
Keep the launch short – under 5 minutes. This is just enough to keep students’ attention AND share essential information.
Let’s face it, problem solving is hard, no matter your age or mathematical skill set.
Students aren’t afraid of hard work – they’re afraid of feeling or looking stupid. And, when those tricky maths moments do come, you can help.
Using questions, tools and other prompts can bring clarity and boost confidence.
(Here's a free question catalogue you might find handy to have in your back pocket.)
This careful support will help your students find problem solving far less daunting. Instead, it can become a chance for wonderous mathematical exploration.
Picture this: Your students are elbows deep in a problem, there’s a buzz in the air – oh, and only a minute until the bell.
The most important stage of a problem solving task – right at the end – is often the one that gets dropped off.
Why does ‘wrapping up’ matter?
In the last 10 minutes of a problem, students can share conjectures, strategies and solutions. It's also a chance to consider new questions that may open up further exploration.
In wrapping up, important learning will happen. Your students will observe patterns, make connections and clarify conjectures. You might even notice ‘aha’ moments.
Five strategies for problem solving success:
- Choose a task that YOU'RE keen on,
- Set a goal for strengthening problem solving skills,
- Plan a short launch to make the task widely accessible,
- Use questions, tools and prompts to support productive exploration, and
- Wrap up to create space for pivotal learning.
Join the Conversation
Dear Michaela, Greetings !! Thank you for sharing the strategies for problem solving task. These strategies will definitely enhance the skill in the mindset of young learners. In India ,Students of Grade 9 and Grade 10 have to learn and solve lot of theorems of triangle, Quadrilateral, Circle etc. Being an educator I have noticed that most of the students learn the theorems and it’s derivation by heart as a result they lack in understanding the application of these theorems.
I will appreciate if you can share your insights as how to make these topics interesting and easy to grasp.
Once again thanks for sharing such informative ideas.
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10 Strategies for Problem-Solving in Math
reviewed by Jo-ann Caballes
Updated on August 21, 2024
It’s not surprising that kids who lack problem-solving skills feel stuck in math class. Students who are behind in problem-solving may have difficulties identifying and carrying out a plan of action to solve a problem. Math strategies for problem-solving allow children to use a range of approaches to work out math problems productively and with ease. This article explores math problem-solving strategies and how kids can use them both in traditional classes and in a virtual classroom.
What are problem-solving strategies in math?
Problem-solving strategies for math make it easier to tackle math and work up an effective solution. When we face any kind of problem, it’s usually impossible to solve it without carrying out a good plan.In other words, these strategies were designed to make math for kids easier and more manageable. Another great benefit of these strategies is that kids can spend less time cracking math problems.
Here are some problem-solving methods:
- Drawing a picture or diagram (helps visualize the problem)
- Breaking the problem into smaller parts (to keep track of what has been done)
- Making a table or a list (helps students to organize information)
When children have a toolkit of math problem-solving strategies at hand, it makes it easier for them to excel in math and progress faster.
How to solve math problems?
To solve math problems, it’s worth having strategies for math problem-solving that include several steps, but it doesn’t necessarily mean they are failproof. They serve as a guide to the solution when it’s difficult to decide where and how to start. Research suggests that breaking down complex problems into smaller stages can reduce cognitive load and make it easier for students to solve problems. Essentially, a suitable strategy can help kids to find the right answers fast.
Here are 5 math problem-solving strategies for kids:
- Recognize the Problem
- Work up a Plan
- Carry Out the Plan
- Review the Work
- Reflect and Analyze
Understanding the Problem
Understanding the problem is the first step in the journey of solving it. Without doing this, kids won’t be able to address it in any way. In the beginning, it’s important to read the problem carefully and make sure to understand every part of it. Next, when kids know what they are asked to do, they have to write down the information they have and determine what essentially they need to solve.
Work Out a Plan
Working out a plan is one of the most important steps to solving math problems. Here, the kid has to choose a good strategy that will help them with a specific math problem. Outline these steps either in mind or on paper.
Carry Out the Plan
Being methodical at that stage is key. It involves following the plan and performing calculations with the correct operations and rules. Finally, when the work is done, the child can review and show their work to a teacher or tutor.
Review the Work
This is where checking if the answer is correct takes place. If time allows, children and the teacher can choose other methods and try to solve the same problem again with a different approach.
Reflect and Analyze
This stage is a great opportunity to think about how the problem was solved: did any part cause confusion? Was there a more efficient method? It’s important to let the child know that they can use the insights gained for future reference.
Ways to solve math problems
The ways to solve math problems for kids are numerous, but it doesn’t mean they all work the same for everybody. For example, some children may find visual strategies work best for them; some prefer acting out the problem using movements. Finding what kind of method or strategy works best for your kid will be extremely beneficial both for school performance and in real-life scenarios where they can apply problem-solving.
Online tutoring platforms like Brighterly offer personalized assistance, interactive tools, and access to resources that help to determine which strategies are best for your child. Expertise-driven tutors know how to guide your kid so they won’t be stuck with the same fallacies that interfere with effective problem-solving. For example, tutors can assist kids with drawing a diagram, acting a problem out with movement, or working backward. All of these ways are highly effective, especially with a trusted supporter by your side.
Your child will fall in love with math after just one lesson!
Choose 1:1 online math tutoring.
What are 10 strategies for solving math problems?
There are plenty of different problem-solving strategies for mathematical problems to help kids discover answers. Let’s explore 10 popular problem-solving strategies:
Understand the Problem
Figuring out the nature of math problems is the key to solving them. Kids need to identify what kind of issue this is (fraction problem, word problem, quadratic equation, etc.) and work up a plan to solve it.
Guess and Check
With this approach, kids simply need to keep guessing until they get the answer right. While this approach may seem irrelevant, it illustrates what the kid’s thinking process is.
Work It Out
This method encourages students to write down or say their problem-solving process instead of going straight to solving it without preparation. This minimizes the probability of mistakes.
Work Backwords
Working backward is a great problem-solving strategy to acquire a fresh perspective. It requires one to come up with a probable solution and decide which step to take to come to that solution.
A visual representation of a math problem may help kids to understand it in full. One way to visualize a problem is to use a blank piece of paper and draw a picture, including all of the aspects of the issue.
Find a Pattern
By helping students see patterns in math problems, we help them to extract and list relevant details. This method is very effective in learning shapes and other topics that need repetition.
It may be self-explanatory, but it’s quite helpful to ask, “What are some possible solutions to this issue?”. By giving kids time to think and reflect, we help them to develop creative and critical thinking.
Draw a Picture or Diagram
Instead of drawing the math problem yourself, ask the kid to draw it themselves. They can draw pictures of the ideas they have been taught to help them remember the concepts better.
Trial and Error Method
Not knowing clear formulas or instructions, kids won’t be able to solve anything. Ask them to make a list of possible answers based on rules they already know. Let them learn by making mistakes and trying to find a better solution.
Review Answers with Peers
It’s so fun to solve problems alongside your peers. Kids can review their answers together and share ideas on how each problem can be solved.
Help your kid achieve their full math potential
The best Brighterly tutors are ready to help with that.
Math problem-solving strategies for elementary students
5 problem-solving strategies for elementary students include:
Using Simple Language
Ask students to explain the problem in their own words to make sure they understand the problem correctly.
Using Visuals and Manipulatives
Using drawing and manipulatives like counters, blocks, or beads can help students grasp the issue faster.
Simplifying the Problem
Breaking the problem into a step-by-step process and smaller, manageable steps will allow students to find the solution faster.
Looking for Patterns
Identifying patterns in numbers and operations is a great strategy to help students gain more confidence along the way.
Using Stories
Turning math problems into stories will surely engage youngsters and make them participate more actively.
To recap, students need to have effective math problem-solving strategies up their sleeves. Not only does it help them in the classroom, but it’s also an essential skill for real-life situations. Productive problem-solving strategies for math vary depending on the grade. But what they have in common is that kids have to know how to break the issue into smaller parts and apply critical and creative thinking to solve it.
If you want your kid to learn how to thrive in STEM and apply problem-solving strategies to both math and real life, book a free demo lesson with Brighterly today! Make your child excited about math!
Jessica is a a seasoned math tutor with over a decade of experience in the field. With a BSc and Master’s degree in Mathematics, she enjoys nurturing math geniuses, regardless of their age, grade, and skills. Apart from tutoring, Jessica blogs at Brighterly. She also has experience in child psychology, homeschooling and curriculum consultation for schools and EdTech websites.
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