Symbolizing, Modeling and Tool Use in Mathematics Education

Table of Contents

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   Book Overview
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   Chapter 1 Introduction and Overview
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   Chapter 2 Preamble: From Models to Modeling
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   Chapter 3 Informal Representations and Their Improvements
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   Chapter 4 The Mathematization of Young Children’s Language
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   Chapter 5 Symbolizing Space into Being
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   Chapter 6 Mathematical Representations as Systems of Notations-In-Use
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   Chapter 7 Students’ Criteria for Representational Adequacy
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   Chapter 8 Transitions in Emergent Modeling
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    Chapter 9 Introduction to Section II
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    Chapter 10 Emergent Models as an Instructional Design Heuristic
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    Chapter 11 Modeling, Symbolizing, and Tool Use in Statistical Data Analysis
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    Chapter 12 Didactic Objects and Didactic Models in Radical Constructivism
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    Chapter 13 Taking into Account Different Views
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    Chapter 14 Introduction to Section III
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    Chapter 15 On Guessing the Essential Thing
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    Chapter 16 Everyday Knowledge and Mathematical Modeling of School Word Problems
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    Chapter 17 On the Development of Human Representational Competence from an Evolutionary Point of View
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    Chapter 18 Modeling Reasoning