The Teaching Company The Art and Craft of Mathematical Problem Solving DVDR-SoSISO


In 24 mind-enriching 30 minute lectures, The Art and Craft of Mathematical
Problem Solving conducts you through scores of problems—at all
levels of difficulty—under the inspiring guidance of award-winning
Professor Paul Zeitz of the University of San Francisco, a former
champion "mathlete" in national and international math competitions
and a firm believer that mathematical problem solving is an
important skill that can be nurtured in practically everyone.
Course Lecture Titles
1. Problems versus Exercises
2. Strategies and Tactics
3. The Problem Solver's Mind-Set
4. Searching for Patterns
5. Closing the Deal—Proofs and Tools
6. Pictures, Recasting, and Points of View
7. The Great Simplifier—Parity
8. The Great Unifier—Symmetry
9. 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


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The Teaching Company : Educational Courses on DVD, Audio CD, Tape, and Cassette - Lecture Series by College/University Professors





DVD 1
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DVD 2

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DVD 4

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