Saberes docentes: a análise combinatória no ensino médio

Detalhes bibliográficos
Ano de defesa: 2010
Autor(a) principal: Sabo, Ricardo Dezso lattes
Orientador(a): Coutinho, Cileda de Queiroz e Silva
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Pontifícia Universidade Católica de São Paulo
Programa de Pós-Graduação: Programa de Estudos Pós-Graduados em Educação Matemática
Departamento: Educação
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://tede2.pucsp.br/handle/handle/11440
Resumo: Given the scenario described by academic research, which provides us with the difficulties faced by students when understanding the concepts of combinatorial analysis and the hypothesis that the students misconceptions might result from the teacher s knowledge and methodology, this work aims at investigating, by means of semi-structured interviews, the knowledge of mathematics teachers of secondary school education in relation to this subject. We believe that resorting to semi-structured interviews as a tool for data collection favored the interpretative process of the teacher's speech, thus emphasizing its meanings. In this context, we formulated the following research question: What knowledge can be identified by the high school teacher s speech, using semi-structured interviews, regarding the teaching of the concepts of combinatorial analysis? The theoretical framework was outlined with the use of Yves Chevallard s Anthropological Theory of Didactic as to analyze and organize the mathematical object; Tardif's theories so as to guide us in relation to the teacher's knowledge and the works of Ponte, Nacarato and others, in order to understand how the training and professional development of teachers is carried out. This research has shown that, among the teachers that were interviewed, they reproduce the teaching practices and knowledge inherited from the teachers who participated in their own school experiences taking into account that that the exchange of experiences among colleagues favors the constructions of new knowledge and/or the sedimentation and evolution of old knowledge. Regarding the use of formulas, we see a divergent situation, as some teachers say they value the use of the Multiplicative Principle and others value the use of formulas, although the latter don t seem to be able to justify or explain their validity. There were teachers who said that, when reading the instructions for class exercises, have difficulty figuring out whether the order of the elements is relevant or not. Thus, our results highlighted the importance of providing teachers with opportunities of participation in continuing education or discussion groups that lead to a reassessment of a teacher's knowledge and the construction of new knowledge, in a way that a teacher s practice may also be modified