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A Moscow Mathematical Circle: Week-by-Week Problems

Authors

Sergey Dorichenko

Description

Moscow has a rich tradition of mathematical circles, to the point that it is a model for many other mathematical circles. This book presents materials used in the annual course of a mathematical circle organized by the Faculty of Mathematics of Moscow State University. It is also used by the Moscow School Number 57, which attracts mathematicians.

Each problem set 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 well-tested method has proven its effectiveness in engaging students, as well as helping them master new subjects, based on previous knowledge. The introduction describes in detail how mathematical circles work at Moscow State University. Dorichenko describes how the initial sessions differ from the later ones, how to choose problems, and what kind of difficulties can 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 classes with math students and an addendum on the San Jose Mathematical Circle, which works in the Russian style.

Target audience

Middle school

Name: A Moscow Mathematical Circle: Week-by-Week Problems

Author(s): e Sergey Dorichenko

Pages: 247

Publication: IMPA, 2016

ISBN: 978-85-244-0419-1

Edition: 1

  1. Introduction
  2. Foreword
  3. Thanks
  4. Problem Set 0
    Problem Set 1
    Problem Set 2
    Problem Set 3
    Problem Set 4
    Problem Set 5
    Problem Set 6
    Problem Set 7
    Problem Set 8
    Problem Set 9
    Problem Set 10
    Problem Set 11
    Problem Set 12
    Problem Set 13
    Winter Competition 29
    Problem Set 14
    Problem Set 15
    Problem Set 16
    Problem Set 17
    Problem Set 18
    Set of Problems 19
    Problem Set 20
    Problem Set 21
    Problem Set 22
    Problem Set 23
    Problem Set 24
    Set of Problems 25
    Problem Set 26
    Problem Set 27
    Problem Set 28
    Problem Set 0 Solutions
    Problem Set 1 Solutions
    Problem Set 2 Solutions
    Problem Set 3 Solutions
    Problem Set 4 Solutions
    Problem Set 5 Solutions
    Problem Set 6 Solutions
    Problem Set 7 Solutions
    Problem Set 8 Solutions
    Problem Set 9 Solutions
    Problem Set 10 Solutions
    Problem Set 11 Solutions
    Problem Set 12 Solutions
    Problem Set 13 Solutions
    Winter Competition Solutions
    Problem Set 14 Solutions
    Problem Set 15 Solutions
    Problem Set 16 Solutions
    Problem Set 17 Solutions
    Problem Set 18 Solutions
    Problem Set 19 Solutions
    Problem Set 20 Solutions
    Problem Set 21 Solutions
    Problem Set 22 Solutions
    Problem Set 23 Solutions
    Problem Set 24 Solutions
    Problem Set 25 Solutions
    Problem Set Solutions 26
    Problem Set Solutions 27
    Problem Set Solutions 28
    Math Labyrinth
    Two plus two is worth more than four: one story
    Addendum: The San Jose Experience by Tatiana Shubin
    SJ1 Problem Set
    SJ1 Problem Set Solutions
    SJ2 Problem Set
    SJ2 Problem Set Solutions
    SJ3 Problem Set
    SJ3 Problem Set Solutions