Fractions, Tilings, and Geometry (IAS/PCMI Teacher Program) by Bowen KerinsMy rating: 5 of 5 stars
"Ostensibly designed for precollege teachers, this teach-the-teacher course based on one offered in the Summer School Teacher Program at the Park City Mathematics Institute has applicability to teaching undergraduates as well. This introduction to non-periodic tilings in two dimensions and space-filling polyhedra is architected around engaging and enlightening group activities to benefit of the secondary education instructor. This content is ready classroom capsules to enliven first-year college courses. Topics covered range from tessellations including Penrose dart and kite tilings and Voronoi diagrams to the golden ratio, packing problems, and more. Very well designed to offer participants authentic self-discovery through an orderly succession of motivation and revelation through guided, hands-on investigation of patterns, the finished material can be directly applied to aid students in honing reasoning, learning to formalize ideas, and grow in mathematical sophistication while having fun solving problems." ...
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