Educational Resources

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Puzzles and Problem Solving


Great site for sharpening math and science problem solving skills. Short intro courses in a variety of subjects. Weekly problem sets keep problem solvers active.
How to describe in just two lines? Fully accredited online problem solving school. Beware: You could be buried by an avalanche of resources. Don’t ask. Just click.

Math for Fun and Glory
Kahn Academy's recreational math site. Wonderful training ground for gifted math students. Videos cover AMC problems, advanced topics, and more.



The Art and Craft of Problem Solving – Paul Zeitz
"The New Testament of Problem solving." Heuristics dissected, with strategies, exercises. PDF copy
here. Instructor's manual here. Detailed MAA review here.

How to Solve It – Georg Polya
The Torah of problem solving. (If Zeitz is Jesus, Polya is Abraham!) This short book is the sine qua non of basic heuristics; the quintessential work on the subject.


Student Competitions

AMA: American Mathematical Association
Competitions page of the AMA web site. THE place to start looking into opportunities for gifted young mathematical minds to shine.

The 8th grade level of the American Mathematics Competition (AMC), administered by the AMA. Get full info, sample questions, register, start practicing.

AMC 10/12
The advanced AMC for 10th-12th graders. Everything you need to get started. Add good expert coaching and a ton of practice, and you're set.

AMA Invitationals
The AMA also administers various invitational competitions for students of various ages, like the USA Math Olympiad and Junior Math Olympiad, the AIME, etc.

The Putnam Exam
Think of the Putnam as the Math Olympiad for undergrads. Requires plenty of excess horsepower and high octane. Serious mathematics for future PhDs.



National Puzzler’s League
Premier national organization for word-play puzzlers (palindromes, cryptograms, crossword-type puzzles, cryptic crosswords, anagrams, etc.)

Dash Puzzle Hunts
"DASH is a fun, interactive event where teams of players race to find and solve creative puzzles hidden in different locations in cities all over the world."

Puzzle teams compete on-location to solve intriquing puzzles with mental, physical, and phychological aspects. These events are marathons, not sprints!

MIT Mystery Hunt
"A puzzlehunt competition that takes place on the MIT campus every year, one of the oldest and most complex in the world." Attracts over 2000 puzzlers annually.

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