O uso reconstrutivo do erro na aprendizagem de simetria axial: uma abordagem a partir de estratégias pedagógicas com uso de tecnologias

Detalhes bibliográficos
Ano de defesa: 2010
Autor(a) principal: Silva, Júnior Teodoro da lattes
Orientador(a): Oliveira, Gerson Pastre de
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/11465
Resumo: This research is inserted in the scope of teaching and learning of Geometry, in particular in the Geometric Transformations with a specific approach in isometric axial symmetry transformation. This proposal led to an investigation about the concepts of this kind of isometry through the use of error in a reconstructive approach from pedagogical strategies with use of technologies. The development occurred in two stages, being the first one done in a sequence of activities in the static environment paper and pencil . The second sequence was made with activities mediated by software of dynamic geometry named Geogebra. The errors that occurred in the static environment were considered for a reconstructive approach in the stage in which the dynamic geometry was used. For such occurrence, the research tried to identify how the pedagogical books of 3rd and 4th stages of Fundamental Teaching received the general reports made by PNLD (National Program of Pedagogical Book) and how some books highlight this subject in these contents. Moreover, it was verified how this subject is handled in the schools according to authors like Almouloud (2007), Catunda et al (1998) and Pavanello (1993), as well as according to the instructions given by National Curricula Parameters. Concerned by the reconstructive approach of error, the research aimed to understand the function of error in Mathematics learning according Brousseau (1986), Almouloud (2007), Perrenoud (2000), Astolfi (1997), Macedo (1997) and Pinto (2000). In the first stage, the learners participated in the development of the sequence with ruler, compass and square method, pointing that they never had used those tools. This fact limited the students to empirical validations. In the second stage, the students showed progress related to construction provided by the resources offered, mainly related to quick corrections, validations and proofs facilitated by resources provided by a pedagogical strategy with use of technologies among which the dynamic geometry Geogebra software