Algebra and Algebraic Thinking in School Mathematics (2008 NCTM Yearbook)

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Contents

Preface

Part 1: Historical Perspectives on Algebra in the Curriculum

  1. A History of Algebra in the School Curriculum by Jeremy Kilpatrick and Andrew Izsák
  2. The Shifting Landscape of School Algebra in the United States by Daniel Chazan

Part 2: The Nature of Algebra and Algebraic Thinking

  1. Algebra: Purpose and Empowerment by Abraham Arcavi
  2. Introducing Extensible Tools in High School Algebra by Al Cuoco
  3. Algebra: The Mathematics and the Pedagogy by Mark Saul
  4. The Three R's: Recursive Thinking, Recursion, and Recursive Formulas by Stanley J. Bezuszka and Margaret J. Kenney
  5. Algebraic Thinking and Geometric Thinking by Thomas Banchoff

Part 3: Studies on the Learning of Algebra

  1. Patterns That Support Early Algebraic Thinking in the Elementary School by Elizabeth Warren and Tom J. Cooper
  2. Using Number Sentences to Introduce the Idea of Variable by Toshiakira Fujii and Maxwell Stephens
  3. Developing Algebraic Thinking THrough Explorations in Multiplication by Jae Meen Baek
  4. "What Is Your Theory? What Is Your Rule?" Fourth Graders Build an Understanding of Functions Through Patterns and Generalizing Problems by Joan Moss, Ruth Beatty, Samantha Barkin, and Gina Shillolo
  5. Developing Algebraic Thinking in Earlier Grades: Some Insights From International Comparative Studies by Jinfa Cai and John Moyer

Part 4: Algebra in the Classroom

  1. Algebra in Elementary School: A Japanese Perspective by Tad Watanabe
  2. Using a Model Approach to Enhance Algebraic Thinking in the Elementary School Mathematics Classroom by Beverly J. Ferrucci, Berinderjeet Kaur, Jack A. Carter, and Banhar Yeap
  3. Uncovering Variables in the Context of Modeling Activities by A. Susan Gay and Alyson R. Jones
  4. The Role of Context in Learning Beginning Algebra by Michael Tabach and Alex Friedlander
  5. Walk the Line: Making Sense of y = mx + b by Nancy Canavan Anderson
  6. Digging Deeply Into Intermediate Algebra: Using Symbols to Reason and Technology to Connect Symbols and Graphs by Rose Mary Zbiek and M. Kathleen Heid

Part 5: Educating Teachers

  1. Algebra in the Grades K-5 Classroom: Learning Opportunities for Students and Teachers by Deborah Schifter, Virginia Bastable, Susan Jo Russell, Lisa Seyferth, and Margaret Riddle
  2. Exploring Generalization Through Growth Patterns by Esther Marie Huntzinger Billings
  3. Analyzing Students' Work: A Context for Connecting and Extending Algebraic Knowledge for Teaching by Beth Herbel-Eisenmann and Elizabeth D. Phillips

Cite

APA 7

Greenes, C. E., & Rubenstein, R. (Eds.). (2008). Algebra and algebraic thinking in school mathematics. National Council of Teachers of Mathematics.

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