The Roles of Representation in School Mathematics (2001 NCTM Yearbook)

From MathEd.net Wiki
Jump to navigation Jump to search

Contents

Preface

Part 1: Roles for Representations

  1. Systems of Representations and the Development of Mathematical Concepts by Gerald Goldin and Nina Shteingold
  2. Representation and Abstraction in Young Children's Numerical Reasoning by Constance Kamii, Lynn Kirkland, and Barbara A. Lewis
  3. Algebra: What Are We Teaching? by Mark Saul
  4. Attending to Transparent Features of Opaque Representations of Natural Numbers by Rina Zakis and Karen Gadowsky

Part 2: Tools for Thinking

  1. The Influence of Language on Mathematical Representations by Irene T. Miura
  2. The Role of Tools in Supporting Students' Development of Measuring Conceptions by Michelle Stephan, Paul Cobb, Koeno Gravemeijer, and Beth Estes
  3. Promoting the Use of Diagrams as Tools for Thinking by Carmel Diezmann and Lyn English
  4. Constructing a Foundation for the Fundamental Theorem of Calculus by Marty J. Schnepp and Ricardo Nemirovsky
  5. Mapping Diagrams: Another View of Functions by Mark Bridger and Maxine Bridger
  6. A Multirepresentational Journey through the Law of Cosines by Daniel Scher and E. Paul Goldenberg
  7. Representations of Reversal: An Exploration of Simpson's Paradox by Lawrence Mark Lesser

Part 3: Symbols and Symbol Systems

  1. Presenting and Representing: From Fractions to Rational Numbers by Susan J. Lamon
  2. Representations of Patterns and Functions: Tools for Learning by Wendy N. Coulombe and Sarah B. Berenson
  3. Promoting Multiple Representations in Algebra by Alex Friedlander and Michal Tabach
  4. From Fibonacci Numbers to Fractals: Recursive Patterns and Subscript Notation by Deborah S. Franzblau and Lisa B. Warner
  5. 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

  1. Listen to Their Pictures: An Investigation of Children's Mathematical Drawings by Kristine Reed Woleck
  2. Using Literature to Invite Mathematical Representations by Phyllis Whitin and David Whitin
  3. Representation in Realistic Mathematics Education by Margaret R. Meyer
  4. Charting a Visual Course to the Concept of Function by Michal Yerushalmy
  5. 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.