{"product_id":"the-intuitive-sources-of-probabilistic-thinking-in-children","title":"The Intuitive Sources of Probabilistic Thinking in Children","description":"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.","brand":"Springer","offers":[{"title":"Default Title","offer_id":50021796577530,"sku":"9789027706263","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0840\/1253\/1962\/files\/imageloader_864f8854-5149-4479-82b9-10ce0d3d7cd8.jpg?v=1786139261","url":"https:\/\/mindsourcebooks.com\/products\/the-intuitive-sources-of-probabilistic-thinking-in-children","provider":"Mind Source Books","version":"1.0","type":"link"}