A integral na visão de professores de cálculo diferencial e integral frente à produção de alunos

• Autor(a) principal: Souza, Fernando Eduardo de
• Data de Publicação: 2007
• 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/11209
• topic: Ensino e aprendizagem; Integral; Concepções e práticas educativas; Entrevista em grupo; Filosofia da matemática; Educacao matematica; Matematica -- Estudo e ensino; Calculo diferencial; Teaching and learning; Integral; Conception and educative practical; Interviews group; Philosophy of the mathematics; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA

It discipline Differential and Integral Calculus appear of the resume of some courses of the area of Exacts or Human Sciences, such as Engineering, Physics, Chemistry, Computer Sciences, Administration and others. Its teaching if has supported many times in one practical "traditional" methodological based in: definitions, theorems, properties, examples and exercises. Innumerable research demonstrates that this methodology has resulted in a very high index of retention. The present work search to analyze the relations between the conceptions on the concept of Integral disclosed for professors, as well as its ways to analyze the production of the pupils, of form to get practical indications on the educative ones of these professionals. To deal of this objective, we use two methodological instruments, a questionnaire and interviews. The first one, objectifying to produce information for the interview, was applied the thirty pupils of two particular universities of São Paulo, having approached different aspects of the concept of Integral, as: definitions, representations, techniques of integration and applications. We analyze the answers produced to the light of the theoretical reference of Concept Image and Concept Definition of Tall & Vinner. The interviews had been carried through with three professors of a particular university of São Paulo, based in the methodological proposals of Bogdan & Binklen and Gaskell, G. on interviews in group and had been analyzed in accordance with the ideas of Paul Ernest concerning the Philosophy Absolutist and Fallibilist Philosophy of the Mathematics. We understand that the conceptions supported for the professors if approach more to the view absolutist of the mathematics, therefore in the majority of the productions analyzed, all seem to accept that this science is the domain of the absolute truths and that the knowledge in mathematics consists of descriptions of the mathematical beings, of the relations between them and of the logical structure that supports them. However, the professors interviewed manifest the possibility of that the mathematical knowledge be it fallible or opened the critical and corrections