DESCRIPTION
Moscow has a rich tradition of mathematical circles, to the point of being a model for many other mathematical circles. This book presents materials employed in the annual course of a mathematical circle organized by the Department of Mathematics of Moscow State University. It is also used by Moscow School Number 57, which attracts mathematicians.
Each set of problems has a similar structure: it combines revisions of previous topics with the introduction of a new topic, presenting problems at increasing levels of difficulty. This highly tested method has proven its effectiveness in engaging students as well as helping them master new subjects based on prior knowledge.
The introduction describes in detail how mathematical circles work at Moscow State University. Dorichenko describes how initial sessions differ from later ones, how to choose problems, and what kind of difficulties may arise in organizing a circle. The work also includes a selection of problems applied in a competition called Mathematical Labyrinth, a story based on real lessons with math students and an addendum on the Russian-style Mathematical Circle of San Jose.
