Big Numbers, Small Numbers

CONTENTS OF CURRICULUM UNIT 18.04.02

  1. Unit Guide
  1. Introduction
  2. Demographics
  3. Background
  4. Content Objectives
  5. Properties of Operations
  6. Multiplication Basics
  7. Multiplication Situations
  8. Multiplication Algorithms
  9. Teaching Strategies
  10. Classroom Activities
  11. Key Vocabulary
  12. Resources for Teachers and Students
  13. Appendix: Implementing District Standards
  14. Bibliography for Teachers
  15. Endnotes

Place Value Meets Multiplication: Utilizing Place Value to Comprehend Multiplication

LaJuanda Shanelle Bland

Published September 2018

Tools for this Unit:

Bibliography for Teachers

Accessed July 14, 2018. https://www.mathsisfun.com/definitions/number-sense.html. This website provides a clear definition of the mathematical term number sense.

Accessed July 12, 2018. https://math.uchicago.edu/~chonoles/miscellany/quotations/. This websites provides a lists of mathematical quotes sorted by category.

Bennett, Albert B., Jr., Laurie J. Burton, and L. Ted Nelson. Mathematics for Elementary Teachers A Conceptual Approach. 8th ed. Dubuque, IA: McGraw-Hill, 2010. 169.

Dee, Ruby, and Susan Meddaugh. Two Ways to Count to Ten: A Liberian Folktale. New York: Square Fish, 2013.

Howe, Roger, and Harold Reiter. "The Five Stages of Place Value." Teachers of India. September 26, 2012. Accessed May 10, 2018. http://www.teachersofindia.org/en/article/five-stages-place-value. Online article that outlines the Five Stages of Place Value and how it enables computation.

Howe, Roger. “Briefs on Place Value.” Unpublished. Reading, Yale National Initiative from Yale University, 12 July 2018. This article is useful in that explains the basics of place value as it relates to computation.

Roger Howe and Susanna Epp, Taking Place Value Seriously: Arithmetic, Estimation, and Algebra (Connecticut), Accessed June 6, 2018. The Extended Distributive Rule used in the unit was derived from this article.

Small, Marian. Eyes on Math: A Visual Approach to Teaching Math Concepts. 2012, 2013. 85.

Smith, Susan Sperry. Early Childhood Mathematics. Boston: Pearson, 2006. 153-154.

Stein, Marcy, Diane Kinder, Kristen Rolf, Jerry Silbert, and Douglas W. Carnine. Direct Instruction Mathematics. Fifth ed. NY, NY: Pearson, 2018. 39.

Van De Walle, John A., Karen S. Karp, Jennifer M. Bay-Williams, Jonathan A. Wray, and Elizabeth Todd Brown. Elementary and Middle School Mathematics: Teaching Developmentally. Tenth ed. NY, NY: Pearson, 2019.

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