Análise da Dialética Ferramenta-Objeto na construção do conceito de Função

• Autor(a) principal: Martins, Lourival Pereira
• Data de Publicação: 2006
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da PUC_SP
• Texto Completo: https://tede2.pucsp.br/handle/handle/11098
• topic: função; dialética ferramenta objeto; construção de conceito; Educacao matematica; Matematica -- Estudo e ensino; function; dialectics tool - object; concept construction; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA

This work starts from the verification of the difficulties presented by the students in the use of the function concept as tool in the problem resolution. We tried to confirm the validity of a teaching strategy based in the dialectics tool-object that creates the conditions for the introduction of that concept starting from knowledge that the students already possess. With that I aim at, we developed and we applied a didactic sequence based in situations-problem for students of the eighth grade of the Elementary School grade in that concept it is usually introduced in our education system. To base the elaboration of that sequence we developed a study about: the mechanisms used by the individual for objects mathematician's manipulation, trying to understand which strategies involved in that manipulation and how is the appropriation of that knowledge; the form with that that concept should be worked with our students, according to the vision of official documents, and the way with this concept is treated in some collections of text books; how was the historical development of the mathematical knowledge that allowed the formulation of that concept, which the ideas involved in that formulation. The elaborated sequence is presented and analyzed in the fourth chapter of that dissertation. That analysis occurs in two stages, one before the sequence application, analysis a priori, trying to understand the operation of each activity, which the necessary knowledge for the accomplishment and which objectives that we wanted to reach. The second analysis is accomplished after the application of the activity, analysis the posteriori. In this part we described how the development was, which the difficulties presented by the students and which the reached objectives. Finally, in the fifth chapter, we developed a general analysis looking for answer the subjects of formulated research, taking as base them analysis accomplished in the previous chapter