Geometry by Discovery

This text seeks to get students actively involved in problem-solving, especially of a geometric nature. The approach highlights the mathematical connections between concepts, and aims to enhance students' geometrical intuition. 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. 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.