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Combinatorics and Reasoning

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Cover of 'Combinatorics and Reasoning'

Table of Contents

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    Book Overview
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    Chapter 1 The Longitudinal Study
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    Chapter 2 Methodology
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    Chapter 3 Representations as Tools for Building Arguments
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    Chapter 4 Towers: Schemes, Strategies, and Arguments
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    Chapter 5 Building an Inductive Argument
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    Chapter 6 Making Pizzas: Reasoning by Cases and by Recursion
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    Chapter 7 Block Towers: From Concrete Objects to Conceptual Imagination
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    Chapter 8 Responding to Ankur’s Challenge: Co-construction of Argument Leading to Proof
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    Chapter 9 Block Towers: Co-construction of Proof
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    Chapter 10 Representations and Connections
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    Chapter 11 Pizzas, Towers, and Binomials
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    Chapter 12 Representations and Standard Notation
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    Chapter 13 So Let’s Prove It!
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    Chapter 14 “Doing Mathematics” from the Learners’ Perspectives
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    Chapter 15 Adults Reasoning Combinatorially
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    Chapter 16 Comparing the Problem Solving of College Students with Longitudinal Study Students
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    Chapter 17 Closing Observations
Attention for Chapter 4: Towers: Schemes, Strategies, and Arguments
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