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Abstract
Este artigo apresenta um recorte de uma pesquisa cujo objetivo foi analisar um processo de formação continuada com foco na problematização e na discussão de recursos para a docência em Trigonometria, de modo a impulsionar o conhecimento profissional dos professores participantes. Os recursos didáticos discutidos na formação continuada foram: história da matemática, jogos e tecnologias, tanto analógicas quanto digitais. A fundamentação teórica foi construída a partir dos conceitos de conhecimento profissional de Shulman, de conhecimentos matemáticos para o ensino descritos por Ball et al e do conhecimento tecnológico pedagógico do conteúdo, no modelo de Mishra e Koehler. Trata-se de uma pesquisa de caráter qualitativo, com a metodologia de Design-Based Research. A formação foi empreendida em São Paulo e composta por encontros quinzenais durante um semestre letivo. A coleta de dados foi feita com sete participantes, por observação direta, gravação dos encontros, aplicação de questionários e entrevistas semiestruturadas, além dos materiais e registros produzidos por eles. A análise foi interpretativa por triangulação de dados. Neste artigo, o foco esteve na discussão de um exemplo de cada categoria de análise: história da matemática, jogos e tecnologias, referente aos recursos didáticos para o ensino. Os resultados indicaram que a formação continuada sobre ensino de Trigonometria subsidiada pelo uso de recursos didáticos auxiliou a ampliação de conhecimento profissional docente dos sujeitos. As atividades que envolveram diferentes recursos para o ensino provocaram discussões que desencadearam reflexões a respeito das práticas de sala de aula, das mediações feitas pelos professores e do próprio conteúdo matemático. A pesquisa revelou que esse tipo de formação continuada pode ser uma alternativa para atender necessidades dos professores do Ensino Médio para o ensino de Trigonometria.
This paper presents parcial results of a research whose objective was to analyze a process of continuous education which focused on the
problematization and discussion of resources for teaching Trigonometry, in order to assist participants in the expansion of professional teacher
knowledge. The didactic resources discussed in the continuing education process were: history of mathematics, games and technologies,
both analog and digital. The theoretical foundation was built from the professional knowledge of concepts within the meaning of Shulman,
mathematical knowledge for teaching described by Ball et al and technological knowledge along the lines of Mishra and Koehler. It is a
qualitative research, with Design-Based Research methodology. The education process was undertaken in São Paulo and had seven research
subjects who met every two weeks during one semester. Data collection was done by direct observation, recording of meetings, questionnaires
and semi-structured interviews, in addition to materials and records produced by them. The analysis was interpretive by triangulation of data. In this paper the focus was on the discussion of an example of each category of analysis: history of mathematics, games and technologies referring to didactic resources for teaching. The results indicated that continuing education on the subject Trigonometry subsidized by the use of didactical resources can assist the expansion of teacher professional knowledge. The activities involving different resources for teaching provoked discussions that caused reflexions about the classroom practices, mediations made by teachers and own mathematical content. The research revealed that this kind of continuing education can be an alternative to meet the needs of High School teachers for teaching Trigonometry.
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