domingo, 1 de junio de 2008

Contribución al Topic Group 27, ICM 11, México

En la siguiente dirección web, http://tsg.icme11.org/document/get/391

Se puede descargar la contribución realizada por,


Juan D. Godino, Mauro Rivas, Walter F. Castro y Patricia Konic

al Topic Group 27 del ICMI 11, “Mathematical Knowledge for teaching”,con el título,


EPISTEMIC AND COGNITIVE ANALYSIS OF AN ARITHMETIC – ALGEBRAIC PROBLEM SOLUTION


Abstract:

We analyze the solution of a problem proposed on the context of a mathematics methods course for in-training primary teachers, by applying some notions of the “onto-semiotic approach” to mathematics knowledge. The generalization of the arithmetic statement given to students involves the use of algebraic reasoning, giving way to the study of the relations between arithmetic and algebra, as well as the relations between empirical and deductive argumentation. The solution of elementary problems and the epistemic-cognitive reflection on the objects and meanings used during the solution is proposed as a means to overcome a limited students’ conception on the nature of mathematics, usually reduced to its conceptual and procedural aspects.

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