The use of trapezoids to explore a number of mathematical concepts, including similarity, representation, and the Pythagorean theorem. Preservice teachers develop hypotheses about isosceles trapezoids which are investigated. Tiling with pattern blocks and the development of the formula for area are also examined.
Jeff Wanko, firstname.lastname@example.org, is an assistant professor in the Department of Teacher Education at Miami University in Oxford, OH 45056, where he teaches mathematics methods and content courses for preservice teachers. He is interested in number theory, geometry, puzzles, and the history of mathematics.