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

Albert Otto; Janet Caldwell; Sarah Wallus Hancock; Cheryl Lubinski; Rose Mary Zbiek; Rose Mary Zbiek; Series Editor

ISBN 10: 0873536673 / ISBN 13: 9780873536677

Published by NCTM (edition First Edition), 2011

About this Item

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Seller Inventory # 0873536673-8-1

Bibliographic Details

• Title: Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3â 5
• Publisher: NCTM (edition First Edition)
• Publication Date: 2011
• Language: English
• ISBN 10: 0873536673
• ISBN 13: 9780873536677
• Binding: Paperback
• Edition: First Edition.
• 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.