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

CONTENTS OF CURRICULUM UNIT 23.03.05

  1. Unit Guide
  1. Introduction and Rationale
  2. Demographics
  3. Content Objectives
  4. Unit Content
  5. Teaching Strategies
  6. Progressive problem set
  7. Classroom activities
  8. Resources
  9. Appendix on Implementing District Standards
  10. Bibliography
  11. Notes.

Numerical Development: from whole numbers to fractions

Irina Alekseeva

Published September 2023

Tools for this Unit:

Notes.

1 Naum Vilenkin, Mathematics 5 th grade, 246 (translated from Russian by me).

2 Roland Larson, Calculus of a Single Variable, 411

3 Roger Howe, A collection of Authentic Expository Mathematical Text, 30.

4 Naum Vilenkin, Mathematics 5 th grade, 203 (translated from Russian by me).

5 Naum Vilenkin, Mathematics 5 th grade, 71 (translated from Russian by me).

6 National Research Council 2001, “Adding it up: Helping Children Learn  Mathematics”, 86

7 Naum Vilenkin, Mathematics 5 th grade, 207 (translated from Russian by me).

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