The Roles of Representation in School Mathematics (2001 NCTM Yearbook)
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Contents
Preface
Part 1: Roles for Representations
- Systems of Representations and the Development of Mathematical Concepts by Gerald Goldin and Nina Shteingold
- Representation and Abstraction in Young Children's Numerical Reasoning by Constance Kamii, Lynn Kirkland, and Barbara A. Lewis
- Algebra: What Are We Teaching? by Mark Saul
- Attending to Transparent Features of Opaque Representations of Natural Numbers by Rina Zakis and Karen Gadowsky
Part 2: Tools for Thinking
- The Influence of Language on Mathematical Representations by Irene T. Miura
- The Role of Tools in Supporting Students' Development of Measuring Conceptions by Michelle Stephan, Paul Cobb, Koeno Gravemeijer, and Beth Estes
- Promoting the Use of Diagrams as Tools for Thinking by Carmel Diezmann and Lyn English
- Constructing a Foundation for the Fundamental Theorem of Calculus by Marty J. Schnepp and Ricardo Nemirovsky
- Mapping Diagrams: Another View of Functions by Mark Bridger and Maxine Bridger
- A Multirepresentational Journey through the Law of Cosines by Daniel Scher and E. Paul Goldenberg
- Representations of Reversal: An Exploration of Simpson's Paradox by Lawrence Mark Lesser
Part 3: Symbols and Symbol Systems
- Presenting and Representing: From Fractions to Rational Numbers by Susan J. Lamon
- Representations of Patterns and Functions: Tools for Learning by Wendy N. Coulombe and Sarah B. Berenson
- Promoting Multiple Representations in Algebra by Alex Friedlander and Michal Tabach
- From Fibonacci Numbers to Fractals: Recursive Patterns and Subscript Notation by Deborah S. Franzblau and Lisa B. Warner
- Tracing the Origins and Extensions of Michael's Representation by Regina D. Kiczek, Carolyn A. Maher, and Robert Speiser
Part 4: The Role of Context
- Listen to Their Pictures: An Investigation of Children's Mathematical Drawings by Kristine Reed Woleck
- Using Literature to Invite Mathematical Representations by Phyllis Whitin and David Whitin
- Representation in Realistic Mathematics Education by Margaret R. Meyer
- Charting a Visual Course to the Concept of Function by Michal Yerushalmy
- Teaching Mathematical Modeling and the Skills of Representation by Joshua Paul Abrams
Cite
APA 7
Cuoco, A. A. & Curcio, F. R. (Eds.). (2001). The roles of representation in school mathematics. National Council of Teachers of Mathematics.