Analysis of Arithmetic for Mathematics Teaching

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This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and ...
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More About This Book

Overview

This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.
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Product Details

  • ISBN-13: 9780805809299
  • Publisher: Taylor & Francis
  • Publication date: 5/28/1992
  • Pages: 464
  • Product dimensions: 6.10 (w) x 9.10 (h) x 1.30 (d)

Table of Contents

Acknowledgments
Preface
1 Making Sense of Numbers in School Mathematics 1
2 Research on Learning and Teaching Addition and Subtraction of Whole Numbers 53
3 Solving Multiplication Word Problems 189
4 Teaching and Learning Long Division for Understanding in School 221
5 Mathematical, Cognitive, and Instructional Analyses of Decimal Fractions 283
6 Rational and Fractional Numbers as Mathematical and Personal Knowledge: Implications for Curriculum and Instruction 323
7 From Protoquantities to Operators: Building Mathematical Competence on a Foundation of Everyday Knowledge 373
Epilogue 431
Author Index 441
Subject Index 449
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