Detalhes bibliográficos
Ano de defesa: |
2009 |
Autor(a) principal: |
Bica, Luis Manuel Peliz Marques
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Orientador(a): |
Coelho, Sonia Pitta |
Banca de defesa: |
Não Informado pela instituição |
Tipo de documento: |
Dissertação
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Tipo de acesso: |
Acesso aberto |
Idioma: |
por |
Instituição de defesa: |
Pontifícia Universidade Católica de São Paulo
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Programa de Pós-Graduação: |
Programa de Estudos Pós-Graduados em Educação Matemática
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Departamento: |
Educação
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País: |
BR
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Palavras-chave em Português: |
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Palavras-chave em Inglês: |
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Área do conhecimento CNPq: |
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Link de acesso: |
https://tede2.pucsp.br/handle/handle/11377
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Resumo: |
The objective of this study was to investigate the visual and textual aspects of the theme function, in a general way, and of the similar function in particular, in textbooks of Mathematics for the 1st grade of Brazilian high school. Thus, we see which is the focus given to the conceptual development of the similar function, specially its graphical representation, and how are promoted as the joints between the algebraic parameters and their visual correspondings from the mathematical and visual points of view. In order to achieve our goals, we developed a set of criteria for research that led to carry out a qualitative analysis of three textbooks from 1st grade of high school, approved in 2005 by the National Books Program for the High School of the Ministry of Education and Culture. The research was based on the theory of Records of Semiotic Representation of Raymond Duval. The investigation criteria were as objective to indicate if the books provided a global concern expressed by Duval. In all the work we were always attentive to official recommendations, notably regarding to the contextualization and interdisciplinary of the concept of study. We also analyze the exercises of the books about similar function in order to check if they remained consistent with the expositive treatment, as well as they promoted conversion activities which show phenomena of congruence and non-congruence. The results showed that only two books, one more than the other, promoted global understanding and presented a diversity of records. These books also showed consistency between the theoretical text and the exercises, many of them contextualized. As far as the exercises, the research has shown that these books also had some exercises with non-congruence phenomena |