Saberes mobilizados por professores quando o foco são as provas matemáticas: um estudo de caso

Detalhes bibliográficos
Ano de defesa: 2012
Autor(a) principal: Leandro, Ednaldo José lattes
Orientador(a): Manrique, Ana Lúcia
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
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/10949
Resumo: Through a study conducted with five teachers of municipal schools of São Paulo, a survey was carried out which knowledge is mobilized by them, when the focus is on mathematical proofs in elementary school. The text portrays the motivations and obstacles encountered by teachers in developing classroom issues related to mathematical proofs, as well as its functions and typologies aimed. For the development of the research, we used the case study and theoretical reference, the following works: Tardif, on teacher knowledge, the types and functions of mathematical proofs of Balacheff and de Villiers, respectively. The following instruments were used to collect data: direct observation, field notes, interviews, and survey activities. The results point to the mobilization of some knowledge, namely: Curriculum, Experiential and Disciplinary. It was also found that teachers perceive the development of mathematical proofs as a process, considering them an important element to make students develop the habit of presenting justifications for their elaborations. Knowing to do an exam was pointed as a skill to be acquired relevant not only for mathematics, but also for the life of apprentice after school, besides being an opportunity to realize the structure, beauty and connections of mathematical ideas. The productions of mathematical proofs, prepared by students, are identified by teachers as being predominantly pragmatic, at this level of education, and used to explain the function and hence to convince