Geometry by Discovery

This book helps readers develop geometric intuition and cultivate geometric problem solving abilities. They'll learn to clarify the problem (and make definitions), solve simpler and related problems, gather and organize data, find patterns, draw pictures, make guesses, formulate and prove conjectures, find counter-examples, generalize and ask more questions and pose new problems. Getting Started: Strategies for Solving Problems.

Episodes in the Measurement of Length, Area, and Volume.

Polyhedra.

Shortest Path Problems.

Kaleidoscopes.

Symmetry.

What Shapes Are Best?

Beehives and Other Packing Problems.

Where to Go From Here?: Project Ideas.

Credits.

Index.

David Gay is the author of Geometry by Discovery, published by Wiley. A New World of Geometry Awaits Your Discovery! The last stone falls out ... a rush of ancient air ... the glint of gold ... the tingle of discovery ... When explorers first opened the tombs of the ancient pharaohs, they knew that they had discovered something wonderful. That feeling, that same passionate sense of discovery, is one of the most powerful educational tools a text can deliver. Geometry by Discovery is an exciting new approach to geometry. This ground-breaking text taps the pedagogical value of discovery to help students stretch their geometric perspective and hone their geometric intuition. It actively engages students in solving mathematical problems, and empowers them to be successful problem-solvers and discoverers of mathematical ideas.