Algebra in the Early Grades

Table of Contents
Preface
Acknowledgements
About the Contributors
Skeptic's Guide to Algebra in the Early Grades

PART I: The Nature of Early Algebra

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

PART II: Students' Capacity for Algebraic Thinking

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

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

  1. Content Matters: Algebraic Reasoning in Teacher Professional Development
    Megan Loef Franke, Thomas P. Carpenter, and Dan Battey
  2. Building District Capacity for Teacher Development in Algebraic Reasoning
    Maria L. Blanton and James J. Kaput
  3. Measure Up: A Quantitative View of Early Algebra
    Barbara Dougherty
  4. Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades?
    Deborah Schifter, Stephen Monk, Susan Jo Russell, and Virginia Bastable
  5. Early Algebra: The Math Workshop Perspective
    E. Paul Goldenberg and Nina Shteingold
  6. Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problem
    Barbara M. Brizuela adn Darrell Earnest
  7. Signed Numbers and Algebraic Thinking
    Irit Peled and David W. Carraher

Afterword

  1. Early Algebra as Mathematical Sense Making
    Alan H. Schoenfeld

 

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