Detalhes bibliográficos
| Ano de defesa: |
2005 |
| Autor(a) principal: |
Castela, Cristiane Attili |
| Orientador(a): |
Coelho, Sonia Pitta |
| 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: |
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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/11109
|
Resumo: |
This research was carried out with 28 students from the 6 th grade of Elementary School and it aims to detect their conceptions about division of Natural Numbers. It investigates three questions: a) do they know techniques division?; b) do they know how to work with division as a tool to solve problems? c) which relations do they establish involving the terms: dividend, divisor, quotient and remainder?. That s why 12 questions were drawn up: 4 formal questions - of direct or inverse application of the division technique; 4 contextualized questions - in which division should be used as a tool -, and 4 other formal questions, that the student can solve by using, or not, division properties. Data were obtained from written instruments and clinical interviews. The results were analyzed according to APOS theory, developed by Ed Dubinsky. We concluded that although 6th grade students have used natural number division to solve at least one of the problems, less than half of them have shown to know the division technique, according to our criteria. Besides, most of the students that established some correct relation involving dividend, divisor, quotient and remainder is among those who know the technique |
