Impact des formulations sur la résolution de problèmes additifs chez l’enfant de 6 a 10 ans |
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| Authors: | Michel Fayol Hervé Abdi |
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| Institution: | 1. Laboratoire de Psychologie, 36, Rue Chabot-Charny, 21000, Dijon, France
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| Abstract: | An experiment was carried out concerning arithmetical problem solving in children. Three between sujects variables were manipulated. All problems followed the same underlying pattern with an initial state (Ei), two additive transformations (T1 and T2), and a final state (Ef); yet the unknown state concerned either Ef (S1 problems) or Ei (S2 problems). The order of introducing the transformations was counterbalanced: either state first (O1 order) or transformations first (O2). Finally, the question was located either at the end of the problem (Q1) or at its beginning (Q2). One hundred and ninety two subjects (64 six, eight, and ten year-olds) were submitted to 8 different problems of the same type. The difficulties of the numerical series were tentatively controlled on an atempt to render the computations roughly «proportional» to ages. Quantitative and qualitative analysis were conducted. Results show that: a) Problems with final state unknown (S1) are solved more easily and early, whereas problems with initial state unknown (S2) are better solved as the children grow older. b) Introducing the transformations first (O2) and placing the question at the beginning of the problem-text (Q2) yields better performances c) The procedures used to solve the problems are clearly dependant on the wording of the problems. An interpretation is proposed which takes in account both the knowledge available in L.T.M. and the limitations of working memory. |
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