The Intuitive Sources of Probabilistic Thi...

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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.

Details

Erscheinungsjahr:	1980
Genre:	Importe , Psychologie
Rubrik:	Geisteswissenschaften
Medium:	Taschenbuch
Reihe:	Synthese Library
Inhalt:	xiv 210 S.
ISBN-13:	9789027711908
ISBN-10:	9027711909
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Fischbein, H.
Hersteller:	Springer Springer Netherland Synthese Library
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	H. Fischbein
Erscheinungsdatum:	30.11.1980
Gewicht:	0,353 kg