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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
Man, Y.-K. – International Journal of Mathematical Education in Science and Technology, 2007
In this note, a simple proof of the Generalized Ceva Theorem in plane geometry is presented. The approach is based on the principle of equilibrium in mechanics. (Contains 2 figures.)
Descriptors: Plane Geometry, Validity, Mathematical Logic, Geometric Concepts
Peer reviewedCallagy, J. J. – International Journal of Mathematical Education in Science and Technology, 1971
This article shows how simple instruments may be used to construct angles of certain measures and applies this procedure to more detailed problems. A proof of the Pythagorean Theorem is given using these procedures. (CT)
Descriptors: Geometric Concepts, Geometry, Manipulative Materials, Mathematical Concepts
