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Artículos

Vol. 14 N.º 2 (2011): Julio

Modelos intuitivos del infinito y patrones de evolución nivelar

DOI:
https://doi.org/10.12802/
Publicado
julho 1, 2011

Resumo

O conceito de infinito é essencial para entender noções matemáticas como limite, continuidade, derivada, integral, sequências e séries, entre outras. No presente trabalho, estuda-se a evolução do conceito de infinito desde o último ano do ensino primário (alunos dos 11 aos 12 anos) até ao primeiro ano do ensino superior (alunos dos 18 aos 19 anos). Um questionário, cujo design foi baseado em parte na literatura existente sobre o assunto, foi aplicado a mais de dois mil alunos para identificar os modelos tácitos do infinito em seu desempenho ou em suas expressões. Na análise das respostas, foi utilizado um novo indicador, o padrão de evolução do nível (PEN), como elemento quantificador que permite comparar os nossos resultados com os de outras investigações. A par de modelos já identificados noutros estudos, no nosso trabalho encontrámos três novos modelos intuitivos tácitos.

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