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The Intuitive Sources of Probabilistic Thinking in Children : Synthese Library (Hardcover) - H. Fischbein

The Intuitive Sources of Probabilistic Thinking in Children

Synthese Library (Hardcover)

Paperback Published: 30th November 1980
ISBN: 9789027711908
Number Of Pages: 210

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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.

I Introduction.- II Intuition and Intelligence.- III Probability Learning.- IV Probability Learning in Children.- V The Intuition of Relative Frequency.- VI Estimating Odds and The Concept of Probability.- VII Combinatorial Analysis.- VIII Summary and Conclusions.- Index of Names.

ISBN: 9789027711908
ISBN-10: 9027711909
Series: Synthese Library (Hardcover)
Audience: General
Format: Paperback
Language: English
Number Of Pages: 210
Published: 30th November 1980
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.22
Weight (kg): 0.33