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

Made available in DSpace on 2013-09-27T14:52:54Z (GMT). No. of bitstreams: 1 WOS000272623200010.pdf: 284212 bytes, checksum: 459a3e53ee711623e184dcd626641e78 (MD5) Previous issue date: 2009-01-01 Made available in DSpace on 2013-09-30T19:23:52Z (GMT). No. of bitstreams: 1 WOS000272623200010.pdf: 284212 bytes, checksum: 459a3e53ee711623e184dcd626641e78 (MD5) Previous issue date: 2009-01-01 Submitted by Vitor Silverio Rodrigues (vitorsrodrigues@reitoria.unesp.br) on 2014-05-20T15:34:19Z No. of bitstreams: 1 WOS000272623200010.pdf: 284212 bytes, checksum: 459a3e53ee711623e184dcd626641e78 (MD5) Made available in DSpace on 2014-05-20T15:34:19Z (GMT). No. of bitstreams: 1 WOS000272623200010.pdf: 284212 bytes, checksum: 459a3e53ee711623e184dcd626641e78 (MD5) Previous issue date: 2009-01-01 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. UNESP, Rio Claro, SP, Brazil Univ São Paulo, ICMC, BR-13560970 São Carlos, SP, Brazil Univ São Paulo, CDCC, Setor Matemat, BR-13560970 São Carlos, SP, Brazil UNESP, Rio Claro, SP, Brazil