Extending the Frontiers of Mathematics: Inquiries into proof and argumentation

Extending the Frontiers of Mathematics: Inquiries into proof and argumentation by Burger, Edward B.. paperback edition. ISBN: 9781597570428.

This book leads students to develop a mature process that will serve them throughout their professional careers, whether inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploration of proofs and other advanced mathematical ideas. The book uses puzzles and patterns, teaches the "prove and extend or disprove and salvage" approach to problems and proofs, and builds mathematical challenge on challenge to boost skills.