Geslane Figueiredo - Academia.edu (original) (raw)
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Loyola University Maryland
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Papers by Geslane Figueiredo
Science Journal of Education, Sep 10, 2014
We present a conceptual proof of the Cauchy-Binet theorem about determinants to show how much one... more We present a conceptual proof of the Cauchy-Binet theorem about determinants to show how much one can gain by investing a bit more in conceptual development, comparing this treatment with the usual one in terms of laborious matrix calculations. The purpose is to stimulate a conceptual understanding and to overcome the usual empiricism, which is an obstacle to a real understanding of mathematical knowledge. The article also aims to show that mathematical terms could be understood as dynamic processes, based on the interaction between intensional and extensional aspects. As it is not really possible to answer any question about the nature of mathematical objects definitively, much less to limit the possible interpretations of mathematical concepts, processes of concept evolution are of great importance to mathematics as a human activity.
REAMEC - Rede Amazônica de Educação em Ciências e Matemática
Apresenta-se os membros da Equipe Editorial e avaiadores ad hoc, com suas respectivas instibuiçõe... more Apresenta-se os membros da Equipe Editorial e avaiadores ad hoc, com suas respectivas instibuições, Lattes, Orcid, Cidade, Estado e País.
Science Journal of Education, Sep 10, 2014
We present a conceptual proof of the Cauchy-Binet theorem about determinants to show how much one... more We present a conceptual proof of the Cauchy-Binet theorem about determinants to show how much one can gain by investing a bit more in conceptual development, comparing this treatment with the usual one in terms of laborious matrix calculations. The purpose is to stimulate a conceptual understanding and to overcome the usual empiricism, which is an obstacle to a real understanding of mathematical knowledge. The article also aims to show that mathematical terms could be understood as dynamic processes, based on the interaction between intensional and extensional aspects. As it is not really possible to answer any question about the nature of mathematical objects definitively, much less to limit the possible interpretations of mathematical concepts, processes of concept evolution are of great importance to mathematics as a human activity.
REAMEC - Rede Amazônica de Educação em Ciências e Matemática
Apresenta-se os membros da Equipe Editorial e avaiadores ad hoc, com suas respectivas instibuiçõe... more Apresenta-se os membros da Equipe Editorial e avaiadores ad hoc, com suas respectivas instibuições, Lattes, Orcid, Cidade, Estado e País.