# The Intuitive Sources of Probabilistic Thinking in Children

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November 1980

## Beschreibung

### Beschreibung

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.### Inhaltsverzeichnis

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.

EAN: 9789027711908

ISBN: 9027711909

Untertitel: 'Synthese Library'.
Softcover reprint of the original 1st ed. 1975.
Book.
Sprache: Englisch.

Verlag: Springer

Erscheinungsdatum: November 1980

Seitenanzahl: 228 Seiten

Format: kartoniert

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