| Contents |
PT. 1. HISTORICAL PERSPECTIVES ON ALGEBRA IN THE CURRICULUM. 1. A history of algebra in the school curriculum / Jeremy Kilpatrick, Andrew Izsák -- 2. The shifting landscape of school algebra in the United States / Daniel Chazan -- PT. 2. THE NATURE OF ALGEBRA AND ALGEBRAIC THINKING. 3. Algebra : purpose and empowerment / Abraham Arcavi -- 4. Introducing extensible tools in high school algebra / Al Cuoco -- 5. Algebra : the mathematics and the pedagogy / Mark Saul -- 6. The three Rs : recursive thinking, recursion, and recursive formulas / Stanley J. Bezuszka, Margaret J. Kenney -- 7. Algebraic thinking and geometric thinking / Thomas Banchoff -- PT. 3. STUDIES ON THE LEARNING OF ALGEBRA. 8. Patterns that support early algebraic thinking in the elementary school / Elizabeth Warren, Tom J. Cooper -- 9. Using number sentences to introduce the idea of variable / Toshiakira Fujii, Maxwell Stephens -- 10. Developing algebraic thinking through explorations in multiplication / Jae Meen Baek -- 11. "What is your theory? What is your rule?" : fourth graders building an understanding of functions through patterns and generalizing problems / Joan Moss ... [et al.] -- 12. Developing algebraic thinking in earlier grades : some insights from international comparative studies / Jinfa Cai, John Moyer -- PT. 4. ALGEBRA IN THE CLASSROOM. 13. Algebra in elementary school : a Japanese perspective / Tad Watanabe -- 14. Using a model approach to enhance algebraic thinking in the elementary school mathematics classroom / Beverly J. Ferrucci ... [et al.] -- 15. Uncovering variables in the context of modeling activities / A. Susan Gay, Alyson R. Jones -- 16. The role of context in learning beginning algebra / Michal Tabach, Alex Friedlander -- 17. Walk the line : making sense of y = mx + b / Nancy Canavan Anderson -- 18. Digging deeply into intermediate algebra : using symbols to reason and technology to connect symbols and graphs / Rose Mary Zbiek, M. Kathleen Heid -- PT. 5. EDUCATING TEACHERS. 19. Algebra in the grades K-5 classroom : learning opportunities for students and teachers / Deborah Schifter ... [et al.] -- 20. Exploring generalization through growth patterns / Esther Marie Huntzinger Billings -- 21. Analyzing students' work : a context for connecting and extending algebraic knowledge for teaching / Beth Herbel-Eisenmann, Elizabeth D. Phillips. |
