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Reverberations of Wittgenstein’s philosophy on mathematical education

Authors: Duarte, Cláudia Glavam;

Reverberations of Wittgenstein’s philosophy on mathematical education

Abstract

The present text aims at elucidating the possible contributions resulting from Wittgenstein’s philosophy, in its second phase, so as to allow us to consider some of the propositions presented to Mathematics Education. First of all, we shall start by emphasizing the importance of the conceptions of rationality and language developed by the Austrian philosopher in the sense of our questioning of the academic mathematic claim for universality, then, on a further moment, we move on to analyze one of its implications for School Mathematics Education. In a specific way, on the second part of the text, making use of the theoretical tools provided by the work of the second Wittgenstein, we problematize the deep-rooted truth spread in the educational discourse which states the need to take into account and starting point, the student’s reality in the classroom as a way to attribute meaning to school mathematics. We claim here that such enterprise is impossible, by arguing that the language games of school mathematics and those which constitute the social practices, in spite of having family similarities among them, are, in fact, different, and the “passage” from a language game, pertaining to a certain form of life, into another, would not guarantee the permanence of meaning. Rather, it suggests its transformation.

O presente texto busca evidenciar as possíveis contribuições advindas da filosofia wittgensteiniana, em sua segunda fase, para pensarmos sobre algumas proposições que têm sido colocadas à Educação Matemática. Começamos destacando a importância das concepções de racionalidade e de linguagem desenvolvidas pelo filósofo austríaco no sentido de interrogarmos sobre a pretensão de universalidade da matemática acadêmica para, em um momento posterior, analisarmos uma das implicações para a Educação Matemática Escolar. De forma específica, na segunda parte do texto, servindo-nos de ferramentas teóricas oriundas da obra do segundo Wittgenstein, problematizamos a verdade que se propagou e se enraizou no discurso educacional ao afirmar a necessidade de se trabalhar a partir da realidade do aluno em sala de aula a fim de se atribuir significado à matemática escolar. Sustentamos aqui a impossibilidade de tal empreendimento, argumentando que os jogos de linguagem da matemática escolar e aqueles que constituem as práticas sociais, apesar de guardarem semelhanças de família entre si, são distintos e a “passagem” de um jogo de linguagem pertencente a uma forma de vida para a outra não garantiria a permanência do significado. Antes sugere sua transformação.

Keywords

Educação Matemática

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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