Transitions in the Conception of Number: From Whole Numbers to Rational Numbers to Algebra

CONTENTS OF CURRICULUM UNIT 23.03.08

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Content Objectives:
  4. Teaching Strategies:
  5. Classroom Activities: Problem Sets
  6. Annotated Bibliography
  7. Appendix on Implementing District Standards
  8. Notes

From English to Algebra: Solving Linear Equations with Word Problems

Kristina Kirby

Published September 2023

Tools for this Unit:

Notes

1 Mary Hegarty, Richard E. Mayer, and Christopher A. Monk, “Comprehension of Arithmetic Word Problems: A Comparison of Successful and Unsuccessful Problem Solvers,” Journal of Educational Psychology 87, no. 1 (March 1995): 18.

2 “English Language Arts/Literacy and Mathematics: Smarter Balanced Summative Assessments,” California Assessment of Student Performance and Progress, accessed June 10, 2023, https://caaspp-elpac.ets.org/caaspp/ViewReportSB?ps=true&lstTestYear=2022&lstTestType=B&lstGroup=1&lstGrade=13&lstSchoolType=A&lstCounty=43&lstDistrict=69427-000&lstSchool=4335428&lstSubject=m.

3 “Smarter Balanced Summative Assessments.”

4 “Smarter Balanced Summative Assessments.”

5 “Smarter Balanced Summative Assessments.”

6 Rodger Bybee, The BSCS 5E Instructional Model: Creating Teachable Moments (Arlington: National Science Teachers Association Press, 2015), 4-7.

7 Toshiakira Fujii, “Understanding the Concept of Variable Through Whole-Class Discussions: The Community of Inquiry from a Japanese Perspective,” in Algebra Teaching around the World, eds. Frederick K. S. Leung, Kyungmee Park, Derek Holton, and David Clarke (Rotterdam: SensePublishers, 2014), 144-45.

8Roger Howe, “From Arithmetic to Algebra,” Mathematics Bulletin: A Journal for Educators, 13.

9 Robert Slavin, “Co-operative learning: what makes group-work work?” in The Nature of Learning: Using Research to Inspire Practice, eds. H. Dumont, D. Istance and F. Benavides (Paris: OECD Publishing, 2010), 170.

10 Slavin, “Co-operative learning,” 170.

11 Howe, “From Arithmetic,” 15.

12 Howe, “From Arithmetic,” 16.

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