A noção de infinito na educação básica: reflexões e proposta
Luiz Marcos Cavalcanti Pereira
Prédio: Corredor C
Sala: C5
Data: 2013-11-15 08:00 – 10:00
Última alteração: 2013-11-25
Resumo
O conceito de infinito está relacionado com muitos outros conceitos na matemática e sua importância para dar sentido a esses conceitos é inegável como mostram o trabalho de Cornu (1983), os trabalhos de Resende (1994) e Resende(2003) que citam o conceito de infinito como um dos obstáculos epistemológicos para o conceito de limite e a noção básica necessária para os cursos introdutórios do cálculo, no ensino superior, respectivamente. Entretanto, nossa pesquisa tem indicado a pouca atenção dada ao assunto nos livros didáticos do ensino fundamental e médio. Nesse trabalho procuraremos identificar os obstáculos de origem epistemológica, histórica e didática relacionados com o conceito de infinito, bem como buscaremos conhecer, também, quais são as concepções espontâneas , identificar as imagens de conceito que estão relacionadas e que são trazidas por alguns professores que atuam na rede pública e privada do estado do Rio de Janeiro, na educação básica. 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)
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