Make mathematics fun and satisfying for everyone Math can be a living source of powerful ideas that transcend mathematics; a window into mind-opening philosophical concepts such as infinity, fourth dimensions, chaos, and fractals; and a practical training ground for developing skills in analysis, reasoning, and thought-if you have the right approach and the right guide. The Heart of Mathematics: An Invitation to Effective Thinking--now in its third edition-transforms mathematics into an engaging, relevant experience even for the most math-phobic student. Infusing this book with humor and enthusiasm, Edward B. Burger and Michael Starbird-both recipients of the Mathematical Association of America's foremost national teaching award and countless state, regional, and campus-wide teaching honors-introduce students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking. Richer and more rewarding than ever, this new edition features:* An emphasis on mathematical methods of investigation* Visualization techniques that make key concepts easier to understand* Accessible, friendly writing style that encourages critical thinking*Life Lessons-effective methods of thinking that students will retain and apply beyond the classroom* End of section Mindscape activities for the development of application, problem-solving, and argumentation skills