The Origin of the Idea of Chance in Children

by Jean Piaget, Barbel Inhelder, Lowell Leake, Jr. (Translator), Paul Burrell (Translator), Harold D. Fishbein (Translator)

Overview

Here Piaget and Inhelder analyze the development of combining operations, which contributes to determining the relationships between chance, probability, and the operating mechanisms of the mind.

This translation aims to provide interested psychologists and mathematics educators with a new catalyst for research in cognitive development. It should also prove useful to the mathematics teacher at the precollegiate level who has an interest in the theory of cognitive development and who teaches probability in the classroom. It is, in fact, one of the few works by Piaget that the beginner can read profitably, without needing too much help from the critics, because it gives a relatively clear example of the development of his techniques and thought.

Product Details

ISBN-13:	9780393008036
Publisher:	Norton, W. W. & Company, Inc.
Publication date:	03/17/1976
Pages:	276
Product dimensions:	5.00(w) x 8.00(h) x 1.00(d)

About the Author

Authored by Piaget, Jean; Inhelder, Barbel

Table of Contents

Translators’ Preface. Foreword. Introduction: The Intuition of Probabilities. Part 1: Chance in Physical Reality. 1. Notions of Random Mixture and Irreversibility 2. Centered Distributions (Normal Curves) and Uniform Distributions 3. The Discovery of a Constant Relationship in Conflict with a Fortuitous Uniform Distribution Part 2: Random Drawings 4. Chance and "Miracle" in the Game of Heads and Tails 5. The Random Drawing of Pairs 6. The Quantification of Probabilities Part 3: Combinatoric Operations 7. The Development of Operations of Combination 8. Operations of Permutation 9. Operations of Arrangement 10. Conclusion: Chance, Probability, and Operations. Glossary.