Presents 24 lectures (each about 30 minutes long) by Paul Zeitz, Professor of Mathematics at the University of San Francisco and author of The art and craft of problem solving.

Part 1. Disc 1. Lecture 1.Problems versus exercises -- Lecture 2. Strategies and tactics -- Lecture 3. The problem solver's mind-set -- Lecture 4. Searching for patterns -- Lecture 5. Closing the deal; proofs and tools -- Lecture 6. Pictures, recasting, and points of view -- Disc 2. Lecture 7. The great simplifier, parity -- Lecture 8. The great unifier, symmetry -- Lecture 9. Symmetry wins games! -- Lecture 10. Contemplate extreme values -- Lecture 11. The culture of problem solving -- Lecture 12. Recasting integers geometrically. Part 2. Disc 3. Lecture 13. Recasting integers with counting and series -- Lecture 14. Things in categories; the pigeonhole tactic -- Lecture 15. The greatest unifier of all; invariants -- Lecture 16. Squarer is better; optimizing 3s and 2s -- Lecture 17. Using physical intuition; and imagination -- Lecture 18. Geometry and the transformation tactic -- Disc 4. Lecture 19. Building from simple to complex with induction -- Lecture 20. Induction on a grand scale -- Lecture 21. Recasting numbers as polynomials; weird dice -- Lecture 22. A relentless tactic solves a very hard problem -- Lecture 23. Genius and Conway's infinite checkers frontier -- Lecture 24. How versus why; the final frontier.