In Acknowledgement: Naming Names | p. ix |
An Idiosyncratic Preface | p. xi |
Introduction | p. 1 |
Manipulatives as Symbols | p. 12 |
Geometric Images and Symbols | p. 32 |
What Counts as a Number? | p. 60 |
Algebra Transforming | p. 88 |
Making Representations and Interpretations | p. 118 |
Symbols and Measures | p. 135 |
Living in the Material World: Symbols in Contexts | p. 153 |
On Fluency and Understanding | p. 170 |
On Manipulation | p. 184 |
Notes | p. 192 |
References | p. 206 |
Name Index | p. 214 |
Subject Index | p. 216 |
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