From Arithmetic to Algebra: Variables, Word Problems, Fractions and the Rules

CONTENTS OF CURRICULUM UNIT 17.05.06

  1. Unit Guide
  1. Introduction
  2. Content Objectives
  3. Rationale
  4. Math Background
  5. Teaching Strategies
  6. Classroom Activities
  7. Appendix 1 – Rules of Arithmetic
  8. Bibliography
  9. Endnotes

Simplifying the Issues with Expressions

Xiomara Meyta Pacheco

Published September 2017

Tools for this Unit:

Bibliography

  1. Booth, Lesley R. (1988). “Children’s Difficulties in Beginning Algebra.” In A. F. Coxford (Ed.), The Ideas of Algebra, K-12: 1988 Yearbook. Reston, VA: National Council of Teachers of Mathematics.
  2. "Gradual Release of Responsibility.” Accessed July 18, 2017. http://www.sjboces.org/doc/Gifted/GradualReleaseResponsibilityJan08.pdf. Helps clarify the “I Do, We Do, You Do” teaching strategy.
  3. Howe, Roger. “Briefs on the Rules of Arithmetic.” Unpublished, available upon request from the author. Gives a clear understanding on the Rules and how and why they work.
  4. Prediger, Susanne. "How to develop mathematics-for-teaching and for understanding: the case of meanings of the equal sign." SpringerLink. August 27, 2009. Accessed July 30, 2017. https://link.springer.com/article/10.1007/s10857-009-9119-y. This resource is helpful for teachers to discuss the various meanings of the equal sign with their students.
  5. Solares, Armando, and Carolyn Kieran. 2013. "Articulating syntactic and numeric perspectives on equivalence: the case of rational expressions." Educational Studies In Mathematics84, no. 1: 115-148. Professional Development Collection, EBSCOhost (accessed August 3, 2017).
  6. Tirosh, Dina, Ruhama Even, and Naomi Robinson. "Simplifying Algebraic Expressions: Teacher Awareness and Teaching Approaches." SpringerLink. Accessed August 03, 2017. https://link.springer.com/article/10.1023/A:1003011913153.

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