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El. knyga: Teaching Early Algebra through Example-Based Problem Solving: Insights from Chinese and U.S. Elementary Classrooms

(Temple University, USA.)
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Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS).



Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS).

Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding.

This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.

List of Figures
viii
List of Tables
x
Preface xi
1 Introduction
1(8)
2 Inverse Relations between Addition and Subtraction
9(27)
3 Inverse Relations between Multiplication and Division
36(33)
4 Properties of Addition: CP and AP
69(42)
5 Properties of Multiplication: CP, AP, and DP
111(62)
6 Conclusion
173(16)
Appendix A Example Chinese G1 Lesson Plan about Fact Families (Additive Inverse) 189(5)
Appendix B Example Chinese G1 Lesson Plan about "Making a Ten to Add" (Informal Teaching of the AP) 194(4)
Appendix C Example Chinese G4 Lesson Plan about Formal Teaching of the CP and AP of Multiplication 198(4)
Index 202
Meixia Ding is Associate Professor of mathematics education in the College of Education and Human Development, Temple University, USA.
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