# Algebra in the Early Grades

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## Contents

Preface

Acknowledgments

About the Contributors

Skeptic's Guide to Algebra in the Early Grades

Part I: The Nature of Early Algebra

- What Is Algebra? What Is Algebraic Reasoning? by James J. Kaput
- Algebra From a Symbolization Point of View by James J. Kaput, Maria L. Blanton, and Luis Moreno
- Making Use of Children's Powers to Produce Algebraic Thinking by John Mason
- Quantitative Reasoning and the Development of Algebraic Reasoning by John P. (Jack) Smith III and Patrick W. Thompson
- Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum by Erick Smith

Part II: Students' Capacity for Algebraic Thinking

- Classroom Stories: Examples of Elementary Students Engaged in Early Algebra by Virginia Bastable and Deborah Schifter
- Children's Reasoning About Change Over Time by Cornelia Tierney and Stephen Monk
- What Is a Legitimate Arithmetic Number Sequence? The Case of Kindergarten and First-Grade Children by Nitza Mark-Zigdon and Dina Tirosh
- Visualizing Algebraic Reasoning by Timothy Boester and Richard Lehrer
- Early Algebra Is Not the Same as Algebra Early by David W. Carraher, Analúcia D. Schliemann, and Judah L. Schwartz
- Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problem by Bárbara M. Brizuela and Darrell Earnest
- Signed Nubmers and Algebraic Thinking by Irit Peled and David W. Carraher

Part III: Issues of Implementation: Taking Early Algebra into the Classroom

- Content Matters: Algebraic Reasoning in Teacher Professional Development by Megan Loef Franke, Thomas P. Carpenter, and Dan Battey
- Building District Capacity for Teacher Development in Algebraic Reasoning by Maria L. Blanton and James J. Kaput
- Measure Up: A Quantitative View of Early Algebra by Barbara Dougherty
- Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades? by Deborah Schifter, Stephen Monk, Susan Jo Russell, and Virginia Bastable
- Early Algebra: The Math Workshop Perspective by E. Paul Goldenberg and Nina Shteingold

Afterword

Author Index

Subject Index

## Also

- APA
- Kaput, J. J., Carraher, D. W., & Blanton, M. L. (Eds.). (2008). Algebra in the early grades (p. 526). New York, NY: Routledge.
- BibTeX

@book{Kaput2008, address = {New York, NY}, editor = {Kaput, James J. and Carraher, David W. and Blanton, Maria L.}, pages = {526}, publisher = {Routledge}, title = {{Algebra in the early grades}}, year = {2008} }