Art and Craft of Mathematical Problem Solving

Let an award-winning professor, and former champion "mathlete" demonstrate how solving math problems can be fun by teaching techniques you can use in many aspects of life.

• By This Professor
• 01: Problems versus Exercises
• 02: Strategies and Tactics
• 03: The Problem Solver's Mind-Set
• 04: Searching for Patterns
• 05: Closing the Deal-Proofs and Tools
• 06: Pictures, Recasting, and Points of View
• 07: The Great Simplifier-Parity
• 08: The Great Unifier-Symmetry
• 09: Symmetry Wins Games!
• 10: Contemplate Extreme Values
• 11: The Culture of Problem Solving
• 12: Recasting Integers Geometrically
• 13: Recasting Integers with Counting and Series
• 14: Things in Categories-The Pigeonhole Tactic
• 15: The Greatest Unifier of All-Invariants
• 16: Squarer Is Better-Optimizing 3s and 2s
• 17: Using Physical Intuition-and Imagination
• 18: Geometry and the Transformation Tactic
• 19: Building from Simple to Complex with Induction
• 20: Induction on a Grand Scale
• 21: Recasting Numbers as Polynomials-Weird Dice
• 22: A Relentless Tactic Solves a Very Hard Problem
• 23: Genius and Conway's Infinite Checkers Problem
• 24: How versus Why-The Final Frontier