Institutional and personal meanings of mathematical proof |
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| Authors: | Angel M Recio Juan D Godino |
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| Institution: | (1) Departamento de Matemáticas, Facultad de Ciencias de la Educación, C/ Priego de Córdoba, 4, 14013 Córdoba, Spain;(2) Departamento de Didáctica de la Matemática, Facultad de Ciencias de la Educación, Campus de Cartuja, 18071 Granada, Spain |
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| Abstract: | Although studies on students’ difficulties in producing mathematical proofs have been carried out in different countries,
few research workers have focussed their attention on the identification of mathematical proof schemes in university students.
This information is potentially useful for secondary school teachers and university lecturers. In this article, we study mathematical
proof schemes of students starting their studies at the University of Córdoba (Spain) and we relate these schemes to the meanings
of mathematical proof in different institutional contexts: daily life, experimental sciences, professional mathematics, logic
and foundations of mathematics. The main conclusion of our research is the difficulty of the deductive mathematical proof
for these students. Moreover, we suggest that the different institutional meanings of proof might help to explain this difficulty.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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