H. Fischbein

The Intuitive Sources of Probabilistic Thinking in Children

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Synthese Library Vol.85
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-277-1190-8
• Softcover reprint of the original 1st ed. 1975
• Seitenzahl: 228
• Erscheinungstermin: 30. November 1980
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 364g
• ISBN-13: 9789027711908
• ISBN-10: 9027711909
• Artikelnr.: 21857339

Inhaltsangabe

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.