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CORWIN MATHEMATICS SER: DEVELOPING MATHEMATICAL REASONG

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Education & Professional Development

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B2B & B2C

<P>Math is not rote-memorizable. Math is not random-guessable. Math is figure-out-able. The author argues that teaching real math - math that is 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 alike have been led to believe that they've learned more and more math, but brains never actually get any stronger. Using these tricks may make facts easier to memorize in isolation, but it distorts the reality of math. The mountain of trivia piles up until students hit a breaking point. Humanity's most powerful system of understanding, organizing, and making an impact on the world becomes soul-draining. This book emphasizes teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on set rules. It illuminates a hierarchy of mathematical reasoning to help guide students through various domains of math development, from basic to more complex concepts. The book: highlights the important mathematical relationships, strategies, and models for students to develop; offers personal stories, reflection sections, and practical exercises; and includes real math - a lot of it - to provide examples they can put to use in their classrooms immediately. This volume 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, it shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words, everyone can math.</P>

Developing Mathematical Reasoning: Avoiding the Trap of Algorithms.css-1p8rvzy{position:absolute;padding-left:8px;}

Developing Mathematical Reasoning: Avoiding the Trap of Algorithms