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ERIC Number: ED521512
Record Type: Non-Journal
Publication Date: 2011-Apr-15
Pages: 84
Abstractor: As Provided
Reference Count: 0
ISBN: ISBN-978-0-8735-3667-7
Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3-5
Otto, Albert; Caldwell, Janet; Hancock, Sarah Wallus; Zbiek, Rose Mary
National Council of Teachers of Mathematics
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.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Books; Guides - Classroom - Teacher
Education Level: Elementary Education; Elementary Secondary Education; Grade 3; Grade 4; Grade 5
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: National Council of Teachers of Mathematics