Developing Mathematical Reasoning: A Book Study of Avoiding the Trap of Algorithms (K–12)

Developing Mathematical Reasoning: Avoiding the Trap of Algorithms emphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. This book illuminates a hierarchy of mathematical reasoning to help teachers guide students through various domains of math development, from basic counting and adding to more complex proportional and functional reasoning. Everyone is capable of understanding and doing real math.

This book:

  • Highlights the important mathematical relationships, strategies, and models for students to develop

  • Offers personal stories, reflection sections, and extensive practical exercises for easy implementation

  • Includes real math-a lot of it-to provide teachers with examples they can put to use in their classrooms immediately

This book is a valuable resource for educators looking to reach more students by building a strong foundation of mathematical thinking in their students. By addressing common misconceptions about math and providing practical strategies for teaching real math, this book shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words, everyone can math.

NOTE: Participants need to obtain a copy of the book prior to the first session.


FORMAT: Asynchronous online learning

DATES: 9/28/26-11/16/26

GCRTC FACILITATOR/CONTACT: Mary Ann Nickloy, GCRTC Teacher Leadership Coach for MS Mathematics

FEE: None. Registration is required.

CTLE HOURS: 15

REGISTRATION:‍ ‍https://tinyurl.com/hx7w49bp

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Developing Mathematical Reasoning: Strategies, Models, and Lessons for Grades 6–8 (Book Study)