Rediscovering Mathematics is a guide to more effective mathematical education, offering topics and puzzles that can inspire a renewed interest in mathematics among students and enthusiasts. Suitable for anyone wanting to expand their view of mathematics, the book's topics are linked by the theme of mathematical learning through investigation, challenge, and discovery. This book can be used as a text for training mathematics teachers at all levels, and is recommended for anyone interested in mathematics and how mathematics should be taught. Containing dozens of illustrations, tables, and exercises, the book focuses on problem solving and understanding, subsuming learning by memorization. Topics range from number theory and applications, to secure Internet communication, to probability in sports and gambling.