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Vol. 11 N.º 3 (2008): Noviembre

ESTUDIO DE LOS ESQUEMAS CONCEPTUALES EPISTEMOLÓGICOS ASOCIADOS A LA EVOLUCIÓN HISTÓRICA DE LA NOCIÓN DE INFINITESIMAL

Submetido
maio 21, 2024
Publicado
abril 21, 2008

Resumo

Este estudo é parte de uma investigação que analisa os processos de conceptualização da noção de infinitesimal em alunos da Licenciatura em Ciências Matemáticas. A investigação surge do interesse pela compreensão dos processos de ensino e aprendizagem de conceitos chave da Análise Matemática como o de limite, número real, continuidade, entre outros. Do ponto de vista da Matemática e da cognição, estas noções são reconhecidas como complexas, já que para a sua conceptualização, se servem das ideias intuitivas dos alunos sobre os infinitesimais. O artigo apresenta a descrição, análise e caracterização dos esquemas conceptuais epistemológicos associados à evolução histórica da noção de infinitesimal. Identificamos sete esquemas conceptuais epistemológicos: o infinitesimal visto como uma razão, como um indivisível, como uma diferença, como um incremento, como uma razão aritmética, como um símbolo e como uma função. Além disso, as ideias, os métodos, as representações e as situações problema que os matemáticos abordaram num certo contexto.

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