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

CONTENTS OF CURRICULUM UNIT 23.03.04

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Background Content Knowledge
  4. National Council of Teachers of Mathematics Process Standards
  5. Framework for Mathematical Discourse and Schema Building
  6. Strategies
  7. Activities
  8. Appendix on Implementing District Standards 
  9. Bibliography
  10. Notes

A Framework for Problem Solving: Schema Development and Discourse

Valerie Schwarz

Published September 2023

Tools for this Unit:

Appendix on Implementing District Standards 

Virginia uses the Virginia Standards of Learning (SOL) and an adaptation of the CCSS Taxonomies for problem solving is included in the Virginia SOLS. The two main standards that are addressed in this curriculum unit are mathematics standards 4.4d and 4.5c.

4.4 The student will

d) create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication, and single-step practical problems involving division with whole numbers.

4.5 The student will

c) solve single-step practical problems involving addition and subtraction with fractions and mixed numbers.

These two standards are addressed through the curriculum unit. SOL 4.4d is used through the instruction for the word problems from Module 1 and Module 3, as these modules address problem solving with whole numbers. Standard 4.5 is addressed for the instruction of Module 5 which involves problem solving with fractions.

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