1st Edition

Teaching Through Example-Based Problem Solving (TEPS) in Early Algebra Contrasting Cases in Elementary Math

By Meixia Ding Copyright 2026
162 Pages 64 B/W Illustrations
by Routledge

162 Pages 64 B/W Illustrations
by Routledge

162 Pages 64 B/W Illustrations
by Routledge

This elementary mathematics resource outlines a pedagogical approach known as Teaching Through Example-Based Problem Solving (TEPS) and presents pre-service teachers with an effective way to instruct early algebra. Using contrasting cases to illustrate inverse relations and the basic properties of operations, it breaks down an often controversial “gatekeeper” for students’ mathematical learning... Read more

1. Introduction

2. Analytical Frameworks: TEPS and ICAP

3. Teaching Additive Inverses: Contrasting Cases 1–2

4. Teaching Multiplicative Inverses: Contrasting Cases 3–5

5. Teaching Basic Properties of Addition: Contrasting Cases 6–7

6. Teaching Basic Properties of Multiplication: Contrasting Cases 8–10 

7. Conclusion

Biography

Meixia Ding is a Professor of Mathematics Education at Temple University, USA.