Teaching Early Algebra through Example-Based Problem Solving

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A01=Meixia Ding
Abstract Numerical Solutions
Addition
Additive Inverse
Algebra
Algebra readiness
Algebraic learning
algebraic reasoning
Algebraic thinking
Array Model
Author_Meixia Ding
Bar Model
Basic properties of operations
Category=JNA
Category=JNLB
Category=JNT
Category=JNU
Category=PB
Category=PBF
CCSS
Chinese Lessons
classroom intervention strategies
cognitive development math
Common Core State Standards for Mathematics
CP
Deep Questioning
Deep questions
Early algebra
early algebra cognitive processes
Early mathematics
Early years
Elementary mathematics
elementary mathematics instruction
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_society-politics
Example-based problem solving
Inverse relations
Mathematical flexibility
mathematics teacher education
Mathematics teaching in China
Mathematics teaching in the US
Multiplication
Multiplicative Comparison
Multiplicative Inverse
National Science Foundation
NSF
Number Line Diagram
Number Sentences
Part-whole Model
Ping Pong Ball
Poplar Trees
Primary mathematics
Real World Context
Related Addition Fact
Story Context
Story Problem
Tape Diagrams
Willow Trees
Word Problem
worked example pedagogy

Product details

  • ISBN 9780367431785
  • Weight: 700g
  • Dimensions: 152 x 229mm
  • Publication Date: 08 Apr 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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).

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.

Meixia Ding is Associate Professor of mathematics education in the College of Education and Human Development, Temple University, USA.

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