The Intuitive Sources of Probabilistic Thinking in Children

  • Authors
  • E.¬†Fischbein

Part of the Synthese Library book series (SYLI, volume 85)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. E. Fischbein
    Pages 1-4
  3. E. Fischbein
    Pages 5-19
  4. E. Fischbein
    Pages 20-31
  5. E. Fischbein
    Pages 32-57
  6. E. Fischbein
    Pages 58-65
  7. E. Fischbein
    Pages 99-116
  8. E. Fischbein
    Pages 117-131
  9. Back Matter
    Pages 132-210

About this book

Introduction

About a year ago I promised my friend Fischbein a preface to his book of which I knew the French manuscript. Now with the printer's proofs under my eyes I like the book even better than I did then, because of, and influenced by, new experiences in the meantime, and fresh thoughts that crossed my mind. Have I been influenced by what I remembered from the manuscript? If so, it must have happened unconsciously. But of course, what struck me in this work a year ago, struck a responsive chord in my own mind. In the past, mathematics teaching theory has strongly been influenced by a view on mathematics as a heap of concepts, and on learning mathematics as concepts attainment. Mathematics teaching practice has been jeopardised by this theoretical approach, which in its most dangerous form expresses itself as a radical atomism. To concepts attainment Fischbein opposes acquisition of intuitions. In my own publications I avoided the word "intuition" because of the variety of its meanings across languages. For some time I have used the term "constitution of mathematical objects", which I think means the same as Fischbein's "acquisition of intuitions" - indeed as I view it, constituting a mental object precedes its conceptualising, and under this viewpoint I tried to observe mathematical activities of young children.

Keywords

Intuition children constitution intelligence learning mathematics mind teaching

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-1858-6
  • Copyright Information Springer Science+Business Media B.V. 1975
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-1190-8
  • Online ISBN 978-94-010-1858-6
  • About this book
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