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^"permissions":^"read":ӶӺ,"update":ӶӺ,"delete":ӶӺ,"admin":ӶӺ°,"user":^"id":6,"name":"Sarah Oberbichler"°,"id":"Pu5fndk5vj","ranges":Ӷ^"start":"/divӶ3Ӻ/divӶ4Ӻ/divӶ1Ӻ/pӶ41Ӻ","startOffset":0,"end":"/divӶ3Ӻ/divӶ4Ӻ/divӶ1Ӻ/blockquoteӶ2Ӻ/pӶ1Ӻ","endOffset":1762°Ӻ,"quote":"In spite of Piaget’s seminal work, that area is still to a large extent terra incognita. Besides, it is an area in which there are likely to be no ultimate ‘laws of nature’. On the other hand, we have seen enough of it to say that we can formulate rules that have a remarkably wide application. In a recent report, my colleague Les Steffe and I wrote:\n\n“Working with children is in many ways like working with foreigners with whom one has only fragments of a language in common. The situation is extreme when the work involves numbers and mathematical operations and aims at developing some insight into how a given child thinks of numbers and how he or she operates with them. Anyone who has seriously tried to investigate what actually goes on in a child’s head when that child is struggling to solve an addition or subtraction problem at the limit of his or her present capability, will have realized that the child’s mathematical world is indeed outlandish from the adult’s point of view Yet, children who have not been totally alienated from the number game and have at least a modicum of motivation do not act randomly. They do proceed according to some method, even if that method would seem unorthodox to the experienced reckoner. To get an inkling of what that method might be the investigator cannot but use his or her own imagination and try to conceive a reasonable path that might connect such manifestations of the child’s operating as can be observed, with steps that could possibly lead to an answer to the given question. That is to say, no matter how hard investigators try to adapt their analyses to the ‘foreign’ ways of the child the model they build up will always be a model constructed out of concepts that are necessarily the investigators’. Because the child’s way of thinking is never directly accessible, the investigators’ model can never be compared to it in order to determine whether there is or is not a perfect match. The most one can hope for is that the model fits whatever observations one has made and, more importantly, that it remains viable in the face of new observations.”","highlights":Ӷ^"jQuery321099893738024903672":^°°,^"jQuery321099893738024903672":^°°Ӻ,"text":"","order":"mw-content-text","category":"WissenschaftlicheReferenz2","data_creacio":1562059761156°
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