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(eBook) Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3-5 (PDF)

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Stock # 14248
ISBN # 978-0-87353-799-5
Published
Pages 84
Grades Grades 3-5,

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Table of Contents (PDF)
Preface (PDF)
Read an Excerpt (PDF)


 

Product Description

By Albert Otto, Janet Caldwell, Sarah Wallus Hancock, Rose Mary Zbiek

Move beyond the mathematics you expect your students to learn.

"Unpacking" the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialized training, may of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities.


This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3–5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modeled by multiplication have an element that represents the scalar and an element that represents the quantity to which the scalar applies. Big Idea 2 relates to the algorithms that problem solvers have invented—some of which have become “standard”—for multiplying and dividing. The authors examine the ways in which counting, adding, and subtracting lead to multiplication and division, as well as the role that these operations play in algebraic expressions and other advanced topics. The book examines challenges in teaching, learning, and assessment and is interspersed with questions for teachers’ reflection.

Please note: This product can only be purchased via NCTM's Online catalog. Non-web payment methods, such as POs, cannot be used to purchase this item. If you have questions, please call NCTM's Customer Service Department at 800-235-7566. 

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