The intuitive sources of probabilistic thinking in children
著者
書誌事項
The intuitive sources of probabilistic thinking in children
（Synthese library, v. 85）
D. Reidel, c1975
- : [hard]
- : pbk
- タイトル別名
-
Concept de probabilité chez l'enfant
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注記
Translation of Le concept de probabilité chez l'enfant
Includes bibliographies and index
内容説明・目次
内容説明
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.
目次
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.
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