Divisibilidade de polinômios no Ensino Médio via generalização da ideia de divisibilidade de números inteiros

Detalhes bibliográficos
Ano de defesa: 2013
Autor(a) principal: Azambuja, Fernanda Fuentes lattes
Orientador(a): Machado, Silvia Dias Alcântara
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: Faculdade de Ciências Exatas e Tecnologia
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://tede2.pucsp.br/handle/handle/10961
Resumo: The student s difficulty in High School with the polynomial is famous, specially, about divisibility. Such fact instigated determining, with the purpose of research hereby presented: investigating the effect of the retaking of the divisibility of the natural numbers with a student from High School and its comprehension about polynomial divisibility. An empirical research was held, of qualitative focus, more specifically a study of ethnographical case, according to André (2005), in which the calculator was used not only as a motivating tool for the retaking, but also as a tool for data survey. The analyses were based, mainly, in basic elements of the theory APOS (Dubinsky and MCDonald, 2001). It was concluded that, although subjects have done the correlation between the algorithms of divisibility of natural numbers and of polynomials, and the fake conception of polynomial constructed by them that identified a polynomial as a number that undermined the possibility of the intended analogy. As for the use of the calculator, it was concluded that it was the tool that helped the subjects not to deviate of the focus of the proposed activities, helping them to recover the conceptions of divisibility of the natural numbers