Problem solving can be taught and can be learned.

Success at solving problems is crucially dependent on psychological factors.  Attributes like confidence, concentration, and courage are vitally important.

No holds-barred investigation is at least as important as rigorous argument.

The non-psychological aspects of problem solving are a mix of strategic principles, more focused tactical approaches, and narrowly defined tactical tools.

Knowledge of folklore (for example, the pigeonhole principle, or Conway's Checker problem) is as important as mastery of technical tools.

Last modified:  August 29, 2000