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Acknowledgments | |
List of Figures and Tables | |
Abbreviations | |
Introduction: Modelling and Education | p. 1 |
The Nature of Modelling | p. 9 |
Overview: The Nature of Modelling | p. 11 |
Models: Their Makers, Uses and Problems | p. 16 |
From Mental Models to Modelling | p. 27 |
Computational Issues in Modelling | p. 33 |
Representations and Representation Systems | p. 39 |
Mathematics and Reality | p. 47 |
Interpreting the World with Numbers: An Introduction to Quantitative Modelling | p. 49 |
Reasoning with a Quantitative Modelling Tool | p. 59 |
Integrating Situation-based and Algebraic Approaches: The Role of Spreadsheets | p. 68 |
Using Spreadsheets to Develop Understanding in Science | p. 76 |
Models and Metaphors in Reasoning about Probability | p. 85 |
Learning about Mathematical Modelling: A Case Study using Model Builder | p. 94 |
Starting from Data: A Different Approach to Making Models | p. 104 |
Common sense Reasoning about Quantities | p. 115 |
Causality and Common sense Reasoning | p. 117 |
Reasoning with a Semi-quantitative Tool | p. 128 |
Thinking with Objects, Links and Logic | p. 143 |
An Introduction to Qualitative Modelling | p. 145 |
Reasoning with a Qualitative Modelling Tool | p. 153 |
Learning by Building Expert System Models | p. 162 |
Creating Worlds from Objects and Events | p. 171 |
Implementing Modelling in the Curriculum | p. 181 |
Towards a Modelling Curriculum | p. 183 |
Developing Software and Curriculum Materials: The Modus Project | p. 188 |
Incorporating Modelling into a Mathematics Curriculum | p. 199 |
Modelling and Teacher Change | p. 207 |
Appendix 1: Tools for Exploratory Learning Programme | p. 214 |
Appendix 2: Further Materials | p. 220 |
References | p. 224 |
Notes on Contributors | p. 234 |
Index | p. 237 |
Table of Contents provided by Blackwell. All Rights Reserved. |
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