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Davis, Philip J. – Educational Studies in Mathematics, 1993
Argues for a mathematics education that interprets the word "theorem" in a sense that is wide enough to include the visual aspects of mathematical intuition and reasoning. Defines the term "visual theorems" and illustrates the concept using the Marigold of Theodorus. (Author/MDH)
Descriptors: Intuition, Mathematics Education, Mathematics Instruction, Proof (Mathematics)
Peer reviewed Peer reviewed
Simon, Martin A. – School Science and Mathematics, 1989
Presented are three cases for intuitive understanding in secondary and college level geometry. Four ways to develop the intuition (physical experience, mutable manipulatives, visualization, and looking back) step are discussed. (YP)
Descriptors: College Mathematics, Geometric Concepts, Geometric Constructions, Geometry