Didactic practice and the construction of the personal relation of six-year-old pupils to an object of knowledge: Numeration |
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| Authors: | Guilaine Menotti Graciela Ricco |
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| Institution: | 1.University of Paris 8,France |
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| Abstract: | Wishing to explore the complexity of the conceptual, didactic and institutional aspects of learning a scientifically defined
object of knowledge, we chose to study the link between the personal relation to numeration developed by six-year-old pupils
in first grade (“cours préparatoire” the first level of primary school in France), and more particularly, the relationship
between the construction of pupils’ relation to the concept of “tens” and the didactic practice of their teachers during the
lessons.
Our study shows that both teachers establish “strong” didactic contracts, leaving it up to the pupils to develop on their
own the capacity of making mathematical decisions and destabilizing the procedure of counting one by one. There is a difference
between classes in the articulation of knowledge and know-how. In the ZEP class learning is centered on know-how; in the other
class knowledge and know-how are simply juxtaposed, their relationship is never made explicit. The result is that only 4 children
out of 42 (the two classes taken together) can work with both. All four belong to the categories of “good” or “very good”
students. |
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