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9780873534956

Roles of Representation in School Mathematics : 2001 Yearbook of the National Council of Teachers of Mathematics

by ;
  • ISBN13:

    9780873534956

  • ISBN10:

    0873534956

  • Format: Hardcover
  • Copyright: 2001-06-01
  • Publisher: Natl Council of Teachers of
  • Purchase Benefits
List Price: $29.95

Table of Contents

Preface ix
Part 1: Roles for Representations
Systems of Representations and the Development of Mathematical Concepts
1(23)
Gerald Goldin
Nina Shteingold
Representation and Abstraction in Young Children's Numerical Reasoning
24(11)
Constance Kamii
Lynn Kirkland
Barbara A. Lewis
Algebra: What Are We Teaching?
35(9)
Mark Saul
Attending to Transparent Features of Opaque Representations of Natural Numbers
44(9)
Rina Zazkis
Karen Gadowsky
Part 2: Tools for Thinking
The Influence of Language on Mathematical Representations
53(10)
Irene T. Miura
The Role of Tools in Supporting Students' Development of Measuring Conceptions
63(14)
Michelle Stephan
Paul Cobb
Koeno Gravemeijer
Beth Estes
Promoting the Use of Diagrams as Tools for Thinking
77(13)
Carmel Diezmann
Lyn English
Constructing a Foundation for the Fundamental Theorem of Calculus
90(13)
Marty J. Schnepp
Ricardo Nemirovsky
Mapping Diagrams: Another View of Functions
103(14)
Mark Bridger
Maxine Bridger
A Multirepresentational Journey through the Law of Cosines
117(12)
Daniel Scher
E. Paul Goldenberg
Representations of Reversal: An Exploration of Simpson's Paradox
129(17)
Lawrence Mark Lesser
Part 3: Symbols and Symbol Systems
Presenting and Representing: From Fractions to Rational Numbers
146(20)
Susan J. Lamon
Representations of Patterns and Functions: Tools for Learning
166(7)
Wendy N. Coulombe
Sarah B. Berenson
Promoting Multiple Representations in Algebra
173(13)
Alex Friedlander
Michael Tabach
From Fibonacci Numbers to Fractals: Recursive Patterns and Subscript Notation
186(15)
Deborah S. Franzblau
Lisa B. Warner
Tracing the Origins and Extensions of Michael's Representation
201(14)
Regina D. Kiczek
Carolyn A. Maher
Robert Speiser
Part 4: The Role of Context
Listen to Their Pictures: An Investigation of Children's Mathematical Drawings
215(13)
Kristine Reed Woleck
Using Literature to Invite Mathematical Representations
228(10)
Phyllis Whitin
David Whitin
Representation in Realistic Mathematics Education
238(13)
Margaret R. Meyer
Charting a Visual Course to the Concept of Function
251(18)
Michal Yerushalmy
Beba Shternberg
Teaching Mathematical Modeling and the Skills of Representation
269
Joshua Paul Abrams

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