Uma combinação de métodos de pesquisa em educação matemática: Método Bayesiano de dados difusos

• Ano de defesa: 2013
• Autor(a) principal: Araújo, Péricles César de
• Orientador(a): Igliori, Sonia Barbosa Camargo
• 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: Educação Matemática; Método misto de pesquisa; Metáfora conceitual; Método Bayesiano; Conjuntos difusos
• Palavras-chave em Inglês: Mathematics Education; Research mixed method; Conceptual metaphor; Fuzzy; Bayesian method
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/10971

This thesis aims at dealing with issues concerning the scientification of Mathematics Education and, consequently, the methods used in researches in that area. It means dealing with methodological issues, under qualitative, quantitative and mixed perspectives with the objective of discussing the increase, always desired, of the reliability of data analysis. It is a theoretical research, with methodological procedures adequate to this kind of study, that is, bibliographical review, analysis of thesis, dissertations, articles and books. Among the theoretical background, we mention Didactic Engineering, Conceptual Metaphor, Fuzzy Logics, Bayesian Statistics and elements from Popper, Kuhn and Lakatos theories. The Didactic Engineering was considered the common thread of reflections; the Fuzzy Logics, inserted for the research universe in Mathematics Education, is characterized by an important heterogeneity of the phenomena. The Bayesian Statistics is a referential to deal with the qualitative aspect. As results, we propose in this thesis, mixed methods of research in Mathematics Education. The first is the one that considers the combination of two methods: the Bayesian method and the Didactic Engineering; the second is the Fuzzy and Bayesian. This way, we understand that with this thesis, we contribute to the discussion on the use of mixed methodology in researches in Mathematics Education, as well as present a method with potential to develop the research in Mathematics Education with scientific characteristics that meet the demands of Popper, Kuhn and Lakatos