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
- A History of Algebra in the School Curriculum by Jeremy Kilpatrick and Andrew Izsák
- The Shifting Landscape of School Algebra in the United States by Daniel Chazan
Part 2: The Nature of Algebra and Algebraic Thinking
- Algebra: Purpose and Empowerment by Abraham Arcavi
- Introducing Extensible Tools in High School Algebra by Al Cuoco
- Algebra: The Mathematics and the Pedagogy by Mark Saul
- The Three R's: Recursive Thinking, Recursion, and Recursive Formulas by Stanley J. Bezuszka and Margaret J. Kenney
- Algebraic Thinking and Geometric Thinking by Thomas Banchoff
Part 3: Studies on the Learning of Algebra
- Patterns That Support Early Algebraic Thinking in the Elementary School by Elizabeth Warren and Tom J. Cooper
- Using Number Sentences to Introduce the Idea of Variable by Toshiakira Fujii and Maxwell Stephens
- Developing Algebraic Thinking THrough Explorations in Multiplication by Jae Meen Baek
- "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
- Developing Algebraic Thinking in Earlier Grades: Some Insights From International Comparative Studies by Jinfa Cai and John Moyer
Part 4: Algebra in the Classroom
- Algebra in Elementary School: A Japanese Perspective by Tad Watanabe
- 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
- Uncovering Variables in the Context of Modeling Activities by A. Susan Gay and Alyson R. Jones
- The Role of Context in Learning Beginning Algebra by Michael Tabach and Alex Friedlander
- Walk the Line: Making Sense of y = mx + b by Nancy Canavan Anderson
- 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
- 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
- Exploring Generalization Through Growth Patterns by Esther Marie Huntzinger Billings
- 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.