pt. 1. Session plans. Introduction -- Session 1 : how to solve a problem -- Session 2 : knights and liars -- Session 3 : how to turn lies into truth -- Session 4 : mathematical auction -- Session 5 : word problems and common sense -- Session 6 : more word problems -- Session 7 : odd and even numbers I. Magic paper cups -- Session 8 : odd and even numbers II. Definitions and properties --Session 9 : Halloween math hockey I -- Session 10 : odd and even numbers III. Alternations -- Session 11 : weighings and counterfeit coins -- Session 12 : mathematical Olympiad I --Session 13 : meet the cube. First lesson in 3D geometry -- Session 14 : cross sections. Second lesson in 3D geometry -- Session 15 : mathematical auction -- Session 16 : combinatorics I -- Session 17 : combinatorics II -- Session 18 : mathematical hockey II -- Session 19 : numerical puzzles I. Runaway digits -- Session 20 : numerical puzzles II. Encrypted problems -- Session 21 : mathematical Olympiad II -- Session 22 : divisibility I. Definition and properties -- Session 23 : divisibility II. Prime numbers and prime factorization -- Session 24 : mathematical auction -- Session 25 : divisibility III. Divisibility rules -- Session 26 : divisibility IV. Relatively prime numbers -- Session 27 : mathematical games of strategy I -- Session 28 : mathematical games of strategy II -- Session 29 : mathematical Olympiad III
pt. 2. Mathematical contests and competition. Mathematical contests -- Mathematical auction -- Mathematical hockey -- Mathematical hockey rules -- Mathematical Olympiads -- Short entertaining math games. pt. 3. More teaching advice. How to be a great math circle teacher -- Math circle day-to-day. pt. 4. Solutions. Session 1 : how to solve a problem -- Session 2 : how to solve a problem and explain a solution -- Session 3 : how to turn lies into truth -- Session 4 : mathematical auction -- Session 5 : word problems and common sense -- Session 6 : more word problems -- Session 7 : odds and evens -- magic paper cups -- Session 8 : odds and evens -- definitions and properties -- Session 9 : math hockey I -- Session 9 : problem set solutions -- Session 10 : odds and evens -- alternation -- Session 11 : weighing and fake coins -- Session 12 : math Olympiad I -- Session 13 : meet the cube -- Session 14 : cross sections -- Session 15 : problem set solutions -- Session 16 : combinatorics I -- Session 17 : combinatorics II -- Session 18 : math hockey II -- Session 18 : problem set solutions -- Session 19 : runaway digits -- Session 20 : encrypted problems -- Session 21 : math Olympiad II -- Session 22 : divisibility I -- Session 23 : divisibility II -- Session 24 : problem set solutions -- Session 25 : divisibility III -- Session 26 : divisibility IV -- Session 27 : mathematical games of strategy I -- Session 28 : mathematical games of strategy II -- Session 29 : math Olympiad