4. Ideas and logistics
l(Paraphrased from http://www.geometer.org/mathcircles/)
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lConcentrate on problem solving techniques applicable to many areas.
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lSample topics: symmetry, the pigeon-hole principle, divisibility, counting, probability, graphs, induction, plane geometry.
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lHand out a set of problems a week before your session. Not too many, but include an easy one and a challenging one.
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lTry not to lecture. Sessions should be as interactive as possible. Score yourself: 1 point per minute you talk; 5 points per minute a student talks; 10 points per minute you argue with a student; 50 points per minute the students argue among themselves.
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lDivide students into groups of 2 - 4 to solve problems.
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lBe encouraging, even about wrong answers.
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lIf students don't answer your question immediately, don't just tell them the answer. Give hints, not solutions.