The Power of Thought-Provoking Math: Fostering Learning Through Critical Thinking in Math
Over the years, the approach to teaching mathematics has evolved—and sometimes, de-evolved—significantly. Traditional methods often involve repetitive drills and memorization, emphasizing rote learning. However, a growing body of research shows that math education can be significantly enhanced when it encourages critical thinking in math and problem-solving skills. Singapore pioneered this approach to teaching Math, and it has paid rich dividends over the last 30 years. We at SAM Singapore Math are bringing this approach of teaching math from Singapore.
The Power of Critical Thinking in Math: Building Deeper Understanding, Problem-Solving Skills, and Confidence
The benefits of this approach that fosters a deeper and more meaningful understanding of mathematical concepts include:
Engagement and Interest:
Repetitive math exercises may lead to disinterest and boredom among students. On the other hand, math that requires critical thinking engages students’ curiosity and stimulates their interest. When children are presented with real-world problems or puzzles that demand thoughtful analysis and reasoning, they are more likely to stay engaged and find joy in the learning process.
Understanding Concepts Rather than Memorization:
Traditional methods often focus on memorizing formulas and procedures. Thought-provoking math, however, encourages students to apply critical thinking in math to understand the underlying concepts. Instead of simply memorizing multiplication tables, for example, students might explore the concept of multiplication through visual models or real-life scenarios. This approach promotes a deeper understanding that goes beyond surface-level memorization.
Developing Problem-Solving and Critical Thinking Skills:
Math is not just about numbers; it’s about problem-solving and critical thinking. Challenging math activities require students to analyze situations, recognize patterns, and evaluate different strategies before arriving at a solution. Whether it’s figuring out a pattern, analyzing data, or solving a real-world mathematical challenge, students develop valuable skills that are applicable beyond the classroom.
Building Confidence and Resilience:
When students tackle challenging math problems and successfully find solutions through their own critical reasoning, it boosts their confidence. It teaches them that it’s okay to face difficulties, and through perseverance and thoughtful problem-solving, they can overcome obstacles. This resilience is a crucial life skill that extends beyond mathematics into various aspects of their academic and personal lives.
Preparation for a Changing World:
In today’s rapidly evolving world, the ability to think critically and solve problems is highly valued. Thought-provoking math prepares students for the future by building their adaptability, analytical skills, and innovative thinking. It equips them with the problem-solving abilities needed in a world where automation is on the rise—skills that machines cannot easily replicate.
To illustrate this, try the problems below with your 3rd or 4th grader:
- “John has 64 brown chocolate candies and 72 white chocolate candies. He wants to pack them into identical boxes so that each box has the same number of brown candies and the same number of white candies (brown and white do not have to be equal). What is the smallest number of boxes he can pack them in?”
Or,
- “What is the largest common factor of 64 and 72?”
Many children can answer #2 with basic knowledge. But answering #1 requires deeper critical thinking in math—applying comprehension, strategic problem solving, and the ability to connect different mathematical ideas.
At SAM Singapore Math, our curriculum is thoughtfully developed to hone these exact skills from a very early age. Our teaching method focuses on first understanding where the child is in their thinking, and then asking probing questions to help them solve the problem themselves.
For example, if a child does not recognize the word problem as a “factors” problem, we might ask:
- “Let’s pretend you only have 64 brown chocolates. What are the different ways you can pack them equally in boxes?”
Then we may repeat the same question for the white chocolates:
- “Let’s pretend you only have 72 white chocolates. What are the different ways you can pack them equally in boxes?”
Through guided questioning and encouragement, many children begin to see the connection to factors—and, more importantly, develop the critical thinking in math needed to solve it independently.
If you would like your child to develop these skills and enjoy math, call us today or schedule an assessment.