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The Intuitive Sources of Probabilistic Thinking in Children

The Intuitive Sources of Probabilistic Thinking in Children

Paperback

Series: Synthese Library, Book 85

Child PsychologyGeneral EducationWomen's Studies

ISBN10: 9027711909
ISBN13: 9789027711908
Publisher: Springer
Published: Nov 30 1980
Pages: 210
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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.

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