Overview

Using this book, students learn to draw stars with seven, eight, or more points, and formulate conjectures about their mathematical structure. They also assemble polygons into 3-D polyhedra and develop spatial intuition. Students develop a definition of star and find a procedure for drawing stars with seven, eight, nine, or more points. Students assemble equilateral triangles, squares, pentagons, hexagons, octagons, and decagons to form symmetrical 3-dimensional solids called polyhedra. The book provides blackline masters of polygons to photocopy onto colored paper. Students cut out the polygons, fold the flaps, and attach them with small staplers. Completed polyhedra make an attractive wall display. These activities meet four distinct NCTM standards.

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9781593630669

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Christopher Freeman holds a bachelor's degree in math and a master's degree in math education from the University of Chicago. He teaches math to grades 6-12 at the University of Chicago Laboratory Schools. Freeman also teaches math enrichment classes in the Worlds of Wisdom and Wonder and Project programs for gifted children in the Chicago area, sponsored by the Center for Gifted at National-Louis University. His books are the fruits of curricula he has developed for gifted children in these programs and in the regular classroom. All of Freeman's activities involve students in inductive thinking. Students are presented with an intriguing situation or set of special cases, and they formulate conjectures about the fundamental mathematical properties that govern them. Students in Freeman's classes practice inductive thinking when they find winning strategies for math games, formulate conjectures about the structure of many-pointed stars, or figure out which polygons can fit together to form polyhedra--and why. Freeman is a regular presenter at the annual conventions of the National Association for Gifted Children. He contributed a chapter on math curriculum in the NAGC publication Designing and Developing Programs for Gifted Students, edited by Joan Franklin Smutny. He has published three books with Prufrock Press, Nim: Variations and Strategies, Drawing Stars and Building Polyhedra, and Compass Constructions.

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