The Intuitive and the Logical in Mathematical Knowledge: analysis of a pedagogical proposal from a viewpoint of new philosophical approaches and in the educational context of mathematics

被引:0
作者
Geromel Meneghetti, Renata Cristina [1 ,2 ,3 ]
机构
[1] UNESP, Rio Claro, SP, Brazil
[2] Univ Sao Paulo, ICMC, BR-13560970 Sao Carlos, SP, Brazil
[3] Univ Sao Paulo, CDCC, Setor Matemat, BR-13560970 Sao Carlos, SP, Brazil
来源
BOLEMA-MATHEMATICS EDUCATION BULLETIN-BOLETIM DE EDUCACAO MATEMATICA | 2009年 / 22卷 / 32期
关键词
Mathematical Knowledge; Intuitive Aspect; Logical Aspect; Philosophy of Mathematics; Mathematics Education; Pedagogical Proposal;
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摘要
In this paper, we consider Meneghetti & Bicudo's proposal (2003) regarding the constitution of mathematical knowledge and analyze it with respect to the following two focuses: in relation to conceptions of mathematical knowledge following the fundamentalist crisis in mathematics; and in the educational context of mathematics. The investigation of the first focus is done analyzing new claims in mathematical philosophy. The investigation of the second focus is done firstly via a theoretical reflection followed by an examination of the implementation of the proposal in the process of development of didactic materials for teaching and learning Mathematics. Finally, we present the main results of the application of one of those materials.
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页码:161 / 188
页数:28
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