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Jon R. Star

Professor of Education at Harvard University’s Graduate School of Education

Episode 180

Learning to Think, Not Just to Answer

What does it mean to truly understand mathematics?

Can math be taught as a creative art rather than a set of procedures? How do we help students move from memorizing answers to appreciating the beauty of patterns, proofs, and problem-solving itself? And what would happen if schools valued curiosity as much as correctness?

Jon R. Star is a Professor of Education at the Harvard Graduate School of Education and a leading scholar in mathematics learning and cognition. His research explores how students develop flexibility in problem solving, how teachers recognize and respond to student thinking, and how mathematical understanding can become both rigorous and joyful. Beyond his university teaching, Jon also teaches Algebra to middle school students, grounding his research in the lived reality of the classroom. His work bridges the gap between scholarship and practice, showing what it means to teach mathematics as both a science and an art.

In this episode, Jon and I talk about what mathematics really is and why its deepest lessons extend far beyond the classroom. We explore how math education often prioritizes getting the right answer rather than understanding the process, and why that approach deprives students of its philosophical beauty. Jon describes mathematics as a discipline devoted to truth, reasoning, and the exploration of patterns, where learning is not about memorization but about developing a flexible, curious mind.

We also discuss the larger systems that shape how math is taught, from grade pressure to college admissions, and how they can unintentionally discourage genuine curiosity. Jon offers practical ways teachers can shift this culture by valuing process, creativity, and communication as much as precision. This conversation invites educators and learners alike to rediscover math not as a fearful subject but as one of the most human expressions of wonder a lifelong exercise in asking why something is true and marveling at the patterns that hold our world together.

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