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http://repositoriodigital.ipn.mx/handle/123456789/11656| Título : | Conteo: Una Propuesta Didáctica Y su Análisis |
| Autor : | Trigueros Gaisman, María Lezama Andalón, Javier |
| Fecha de publicación : | 16-ene-2013 |
| Descripción : | Learning mathematics often causes problems to students. Given the complexity of the concepts involved and their high level of abstraction, their learning becomes a difficult task. Problems arise in the learning of the concepts of counting and in the acquisition of the techniques of counting. Two basic concepts in counting are permutations and combinations. These concepts are used to count sequences that have certain characteristics like order and repetition. Such characteristics are a source of difficulty for students in the process of construction of these concepts. This thesis considers a didactical approach for the learning of permutations and combinations based in a theory that centers its attention in the mental constructions that are necessary for the construction of mathematical concepts. This theory is called APOS. The didactical design was used to teach counting to students at the university level. Their problem solving strategies were analyzed according to the chosen theory. The analysis and the results from the work done by the students are presented and discussed. A genetic decomposition of the concepts of permutation and combination was designed by making hypothesis about the mental constructions that students may develop in their learning. Based on this decomposition some didactical sequences were designed with the idea to provide opportunities for the students to reflect and make the necessary abstractions to construct these concepts. The results were analyzed leading to a refinement of the decomposition and the design of new sequences. The sequences used helped the students make the mental constructions that had been proposed and the result was that they performed better. This decomposition deals with a part of the counting theme (permutations and combinations) leaving another part for a future analysis. |
| URI : | http://www.repositoriodigital.ipn.mx/handle/123456789/11656 |
| Otros identificadores : | http://hdl.handle.net/123456789/1177 |
| Aparece en las colecciones: | Doctorado |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| salgado_2007.pdf | 4.78 MB | Adobe PDF | Visualizar/Abrir |
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