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Direct linkAnatriello, Giuseppina; Tortoriello, Francesco Saverio; Vincenzi, Giovanni – International Journal of Mathematical Education in Science and Technology, 2016
In line with the latest positions of Gottlob Frege, this article puts forward the hypothesis that the cognitive bases of mathematics are geometric in nature. Starting from the geometry axioms of the "Elements" of Euclid, we introduce a geometric theory of proportions along the lines of the one introduced by Grassmann in…
Descriptors: Mathematics, Mathematics Instruction, Geometry, Numbers
