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

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

    List Price $32.95
    Your Price $32.95
    Available
    Product Available Yes
    Join Now
    Quantity

    Product Details

    Stock # 13795
    ISBN # 978-0-87353-667-7
    Published 04/15/2011
    Pages 84
    Grades 3rd to 5th

    See What's Inside

    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.