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Professional Development

Education & Professional Development

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<P>Math can’t be rote-memorized or random-guessed, but it can be figured out. The author argues that teaching real math, free of distortions, will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math <Q>easier</Q> are full of traps that sacrifice long-term student growth for short-lived gains. Students and teachers have been led to believe that they've learned more math, but in reality students are not progressing in their ability to reason mathematically. The tricks make facts easier to memorize, but that distorts the reality of math. The trivia piles up until students hit a breaking point and it becomes a soul-draining exercise in confusion, chaos, and lost opportunities. In the book <EM>Developing Mathematical Reasoning: Avoiding the Trap of Algorithms</EM>, the author emphasizes teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts, not set rules. This companion volume equips educators with tools to move beyond rote memorization toward true mathematical thinking. Focusing on additive and multiplicative reasoning, it introduces strategies for improved mathematical reasoning, problem strings, and strategic modeling to strengthen student understanding. Includes reasoning-based strategies: replace traditional algorithms with approaches that build critical thinking and understanding; problem strings: walking students through problems that spark insight; grade 3-5 focus: additive and multiplicative reasoning tailored for upper elementary; and practical tools: routines, discussion prompts, and modeling techniques for classroom application. Help students learn to think mathematically rather than memorize. Build confidence, deep understanding, and an appreciation for the logic and beauty of math.</P>

Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades 3-5

EBK: DEVELOPING MATHEMATICAL REASONING

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Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades 3-5.css-1p8rvzy{position:absolute;padding-left:8px;}

Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades 3-5