Rethinking Mathematical Thinking: A New Perspective

 David Bessis, a mathematician and educator, has challenged the conventional understanding of mathematical thinking. By questioning the core of what it means to "do math," he has opened up a new perspective on this fundamental human activity.   

Traditionally, mathematical thinking has been associated with formal logic, rigorous proofs, and the ability to solve complex equations. It's often seen as a specialized skill, accessible only to a select few. This narrow view has led to a common misconception that math is primarily about numbers and symbols.

Bessis argues that this conventional view is too restrictive. He believes that mathematical thinking is a much broader and more intuitive process, rooted in human curiosity and creativity. By examining the way children naturally explore the world, he has identified key elements of mathematical thinking that are often overlooked.   

Bessis proposes a more expansive definition of mathematical thinking, one that encompasses:

• Pattern Recognition: The ability to identify patterns and relationships in both abstract and concrete contexts.
• Spatial Reasoning: The capacity to visualize and manipulate shapes and objects in space.   
• Logical Reasoning: The skill of using deductive and inductive reasoning to draw conclusions.
• Problem-Solving: The art of breaking down complex problems into smaller, more manageable steps.
• Creativity: The ability to generate new ideas and approaches to problem-solving.

One of the most significant implications of Bessis's work is the idea that mathematical thinking is not an innate talent but a skill that can be developed in everyone. By fostering a playful and exploratory approach to learning, educators can help students of all ages to unlock their mathematical potential.   

Bessis emphasizes the importance of creating a learning environment that encourages experimentation, risk-taking, and the joy of discovery. By providing opportunities for students to engage with real-world problems and explore mathematical concepts through hands-on activities, we can help them develop the critical thinking skills they need to succeed in the 21st century.

In conclusion, David Bessis's rethinking of mathematical thinking offers a fresh perspective on this fundamental human activity. By recognizing the broader scope of mathematical thinking and its inherent connection to creativity and curiosity, we can inspire a new generation of mathematicians and problem-solvers.