Article de revue: ID no. (ISBN etc.):  0010-0277 Clé de citation BibTeX:  Rips2006
Rips, L. J., Asmuth, J., & Bloomfield, A. (2006). Giving the boot to the bootstrap: How not to learn the natural numbers. Cognition, 101(3), p. pB51.
Ajoutée par: Sterenn Audo 2007-12-11 13:11:06    Dernièrement modifiée par: Lynda Taabane 2008-01-06 19:40:43
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Catégories: Apprentissage mathématiques, COEFF, Full text
Descripteurs: Numbers; Number Concepts; Inferences; Computation; Children; Logical Thinking
Auteurs: Asmuth, Bloomfield, Rips
Collection: Cognition

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Résumé
According to one theory about how children learn the concept of natural numbers, they first determine that "one", "two", and "three" denote the size of sets containing the relevant number of items. They then make the following inductive inference (the Bootstrap): The next number word in the counting series denotes the size of the sets you get by adding one more object to the sets denoted by the previous number word. For example, if "three" refers to the size of sets containing three items, then "four" (the next word after "three") must refer to the size of sets containing three plus one items. We argue, however, that the Bootstrap cannot pick out the natural number sequence from other nonequivalent sequences and thus cannot convey to children the concept of the natural numbers. This is not just a result of the usual difficulties with induction but is specific to the Bootstrap. In order to work properly, the Bootstrap must somehow restrict the concept of "next number" in a way that con
Ajoutée par: Sterenn Audo    Dernièrement modifiée par: Lynda Taabane

 
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