Developing Mathematical Reasoning

This book tackles the fundamental challenge of mathematics education by arguing that real mathematical understanding comes from reasoning, not memorization. Pamela Weber Harris makes a compelling case that traditional approaches filled with shortcuts and algorithms actually hinder long-term growth, proposing instead a method focused on the kind of mental work real mathematicians do. The core philosophy is that math is inherently "figure-out-able," and the book provides a framework for teaching students to build their own understanding from the ground up. This approach aims to replace the common distortions in math instruction with strategies that foster genuine problem-solving skills.

What sets this work apart is its practical focus on developing students' ability to reason quantitatively and make sense of problems, rather than just executing procedures. Educators seeking to move beyond test-prep and rote learning will find a powerful, research-informed guide for transforming their classroom practice. The emphasis on conceptual depth over procedural speed addresses the root causes of math anxiety and poor retention. For anyone tired of seeing students who can compute but not comprehend, this book offers a clear and actionable path toward teaching math that truly sticks.