Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3â "5

Albert Otto,Janet Caldwell,Rose Mary Zbiek,Sarah Wallus Hancock,Cheryl Lubinski

ISBN 10: 0873536673 / ISBN 13: 9780873536677

Published by NCTM, 2011

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Bibliographic Details

• Title: Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3â "5
• Publisher: NCTM
• Publication Date: 2011
• Language: English
• ISBN 10: 0873536673
• ISBN 13: 9780873536677
• Binding: paperback
• Condition: Very Good

About this title

Synopsis

"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.