Description
|
Final
Chapters
|
Title, Authors
|
Title Page
|
|
Preface
|
To the Kenilworth students
|
Dedication
|
|
Acknowledgements
|
|
Table
of Contents
|
Introduction
|
Intro
|
The Longitudinal Study
|
Chapter
1
|
Methodology
|
Chapter
2
|
Representations as Tools for
Building Arguments
|
Chapter
3
|
Classroom Explorations Leading
to Student Justifications
|
Chapter
4
|
Building an Inductive Argument
|
Chapter
5
|
| Making Pizzas; Reasoning by
Cases and by Recursion |
Chapter
6
|
Block Towers: From Concrete
Objects to Conceptual Imagination
|
Chapter
7
|
Responding to Ankur’s Challenge;
Co-construction of Argument leading to Proof
|
Chapter
8
|
Block Towers: Co-construction of
Proof
|
Chapter
9
|
Representations and Connections
|
Chapter
10
|
Pizzas, Towers, and
Binomials
|
Chapter
11
|
Representations and Standard
Notation
|
Chapter
12
|
Extending and Generalizing the
Isomorphism
|
Chapter
13
|
"Doing Mathematics" from the
Learners' Perspectives
|
Chapter
14
|
Adults Reasoning Combinatorially
|
Chapter
15
|
Comparing the Problem Solving of
College Students with Longitudinal Study Students
|
Chapter
16
|
Conclusions and Suggestions for
Practice
|
Chapter
17
|
Combinatorics Tasks
|
Appendix A
|
Dissertations from the study
|
Appendix B
|
References
|
References
|
Index
|
Index
|