000			10347nam a22001937a 4500
003			OSt
005			20240830154007.0
008			190614b ||||| |||| 00| 0 eng d
020			_a9781470437183
040			_cEducational Supplies _aICTS-TIFR
050			_aQA20.G35
100			_aBurago, Anna
245			_aMathematical circle diaries, year 2 _b: complete curriculum for grades 6 to 8
260			_aUSA: _bAMS, _c[c2018]
300			_a362 p
505			_aPart 1 . Session Plans Introduction Lessons and Problem Sets Chapter 1. Session 1: Checkerboard Problems 1.1. Introduction 1.2. Math Warm-up 1.3. Discussion of the Day: Checkerboard Problems 1.4. In-Class Problem Set 1.5. A Few Words about Problem Sets 1.6. Take-Home Problem Set 1.7. Additional “Checkerboard” Problems Chapter 2. Session 2: Review: Math Logic and Other Problem-Solving Strategies 2.1. Math Warm-up 2.2. Discussion of the Day: Problem-Solving Strategies 2.3. Take-Home Problem Set Chapter 3. Session 3: Invariants 3.1. Warm-up Discussion. Are Proofs Really Necessary? 3.2. Discussion of the Day: Invariants 3.3. Take-Home Problem Set Chapter 4. Session 4: Proof by Contradiction 4.1. Math Warm-up 4.2. Discussion of the Day: Proof by Contradiction 4.3. Take-Home Problem Set Chapter 5. Session 5: Decimal Number System and Problems on Digits 5.1. Warm-up Discussion. Egyptian Number System 5.2. Discussion of the Day: Problems on Digits 5.3. In-Class Problem Set 5.4. Take-Home Problem Set 5.5. Additional Problems Chapter 6. Session 6: Binary Numbers I 6.1. Math Warm-up 6.2. Discussion of the Day: Binary Land—an Informal Introduction to Binaries 6.3. Binary Number System 6.4. Binary Notation 6.5. Computers and Binary Numbers 6.6. Take-Home Problem Set Chapter 7. Session 7: Binary Numbers II 7.1. Math Warm-up 7.2. Discussion of the Day: Binary Arithmetic 7.3. How to Convert Decimals to Binary 7.4. Take-Home Problem Set Chapter 8. Session 8: Mathematical Dominoes Tournament 8.1. Math Warm-up 8.2. Rules of Mathematical Dominoes 8.3. Mathematical Dominoes Problems 8.4. Take-Home Problem Set Chapter 9. Session 9: Pigeonhole Principle 9.1. Math Warm-up 9.2. Discussion of the Day: Pigeonhole Principle 9.3. Take-Home Problem Set 9.4. Additional Problems Chapter 10. Session 10: Geometric Pigeonhole Principle 10.1. Math Warm-up 10.2. Discussion of the Day: Geometric Pigeonhole 10.3. Take-Home Problem Set 10.4. Additional Problems Chapter 11. Session 11: Mathematical Olympiad I 11.1. Event of the Day: Mathematical Olympiad 11.2. Mathematical Olympiad I. First Set of Problems 11.3. Mathematical Olympiad I. Second Set of Problems 11.4. Mathematical Olympiad I. Additional Problems Chapter 12. Session 12: Combinatorics I. Review 12.1. Math Warm-up 12.2. Discussion of the Day: Review of Combinatorics Techniques 12.3. In-Class Problem Set 12.4. Take-Home Problem Set 12.5. Additional Problems Chapter 13. Session 13: Combinatorics II. Combinations 13.1. Math Warm-up 13.2. Discussion of the Day: Combinations 13.3. Take-Home Problem Set Chapter 14. Session 14: Mathematical Auction 14.1. Math Warm-up 14.2. Event of the Day: Mathematical Auction Game 14.3. Mathematical Auction Problems 14.4. Take-Home Problem Set Chapter 15. Session 15: Combinatorics III. Complements. Snake Pit Game 15.1. Math Warm-up 15.2. Discussion of the Day: Complements 15.3. Activity of the Day: Snake Pit on Combinatorics 15.4. Take-Home Problem Set Chapter 16. Session 16: Combinatorics IV. Combinatorial Conundrum 16.1. Math Warm-up 16.2. Discussion of the Day: Combinatorial Craftiness 16.3. Take-Home Problem Set 16.4. Additional Problems Chapter 17. Session 17: Magic Squares and Related Problems 17.1. Math Warm-up 17.2. Discussion of the Day: Magic Squares from 1 to 9 17.3. More on 3×3 Magic Squares 17.4. Magic Squares Extended 17.5. Take-Home Problem Set Chapter 18. Session 18: Double Counting, or There Is More than One Way to Cut a Cake 18.1. Math Warm-up 18.2. Discussion of the Day: Double Counting 18.3. Take-Home Problem Set 18.4. Additional Problems Chapter 19. Session 19: Mathematical Olympiad II 19.1. Event of the Day: Mathematical Olympiad 19.2. Mathematical Olympiad II. First Set of Problems 19.3. Mathematical Olympiad II. Second Set of Problems 19.4. Mathematical Olympiad II. Additional Problems Chapter 20. Session 20: Divisibility I. Review 20.1. Math Warm-up 20.2. Discussion of the Day: Divisibility 20.3. Prime Factorization Practice. Set 1 20.4. Prime Factorization Practice. Set 2 20.5. Take-Home Problem Set 20.6. Additional Problems Chapter 21. Session 21: Divisibility II. Relatively Prime Numbers; GCF and LCM 21.1. Math Warm-up: Mysteries of Prime Numbers 21.2. Discussion of the Day: Relatively Prime Numbers 21.3. Greatest Common Factor (GCF) 21.4. Least Common Multiple (LCM) 21.5. How GCF and LCM Are Related 21.6. GCF and LCM. In-Class Practice Problems 21.7. Take-Home Problem Set 21.8. Additional Problems Chapter 22. Session 22: Divisibility III. Mathematical Race Game 22.1. Math Warm-up 22.2. Event of the Day: Mathematical Race 22.3. Take-Home Problem Set Chapter 23. Session 23: Mathematical Auction 23.1. Event of the Day: Mathematical Auction Game 23.2. Mathematical Auction Problems 23.3. Take-Home Problem Set Chapter 24. Session 24: Divisibility IV. Divisibility by 3 and Remainders 24.1. Math Warm-up 24.2. Discussion of the Day: Remainders When Divided by 3 24.3. Arithmetic of Remainders 24.4. Take-Home Problem Set 24.5. Additional Problems Chapter 25. Session 25: Divisibility V. Divisibility and Remainders 25.1. Math Warm-up 25.2. Discussion of the Day: Divisibility and Remainders 25.3. Divisibility and Remainders Practice 25.4. Take-Home Problem Set 25.5. Additional Problems Chapter 26. Session 26: Graph Theory I. Graphs and Their Applications 26.1. Math Warm-up 26.2. Discussion of the Day: Why Graphs Are Important 26.3. How to Calculate the Number of Edges in a Graph 26.4. Take-Home Problem Set Chapter 27. Session 27: Graph Theory II. Handshaking Theorem 27.1. Math Warm-up 27.2. Discussion of the Day: Odd Vertices Theorem 27.3. In-Class Problem Set 27.4. Take-Home Problem Set 27.5. Additional Problems Chapter 28. Session 28: Graph Theory II. Solving Problems with Graphs 28.1. Math Warm-up 28.2. Discussion of the Day: Graphs Potpourri 28.3. Take-Home Problem Set Chapter 29. Session 29: Mathematical Olympiad III 29.1. Event of the Day: Mathematical Olympiad 29.2. Mathematical Olympiad III. First Set of Problems 29.3. Mathematical Olympiad III. Second Set of Problems Part 2 . Mathematical Contests and Competitions Mathematical Contests Mathematical Auction What Is Special about Mathematical Auctions? Rules of Mathematical Auction A Sample Round Team Work Advice for a Teacher Examples of Mathematical Auction Problems Mathematical Dominoes Rules of Mathematical Dominoes Why Students Like Mathematical Dominoes Why Teachers Like Mathematical Dominoes Useful Details Scorecards Dominoes Cards: How to Make Them Odds and Ends Mathematical Snake Pit Rules of Snake Pit Game Useful Details Score Table Mathematical Race Rules of Mathematical Race Useful Details Score Table Mathematical Olympiad Planning for an Oral Olympiad Running an Olympiad Olympiads in This Book Awards and Prizes Short Entertaining Math Games Giotto and Math Giotto Nim Black Box Part 3 . More Teaching Advice How to Be a Great Math Circle Teacher Teaching Style Your Target Group What Comes Next? The Farewell Part 4 . Solutions Session 1. Checkerboard Problems Session 2. Review: Math Logic and Other Problem-Solving Strategies Session 3. Invariants Session 4. Proof by Contradiction Session 5. Decimal Number System and Problems on Digits Session 6. Binary Numbers I Session 7. Binary Numbers II Session 8. Mathematical Dominoes Tournament Session 9. Pigeonhole Principle Session 10. Geometric Pigeonhole Principle Session 11. Mathematical Olympiad I Session 12. Combinatorics I. Review Session 13. Combinatorics II. Combinations Session 14. Mathematical Auction Session 15. Combinatorics III. Complements. Snake Pit Game Session 16. Combinatorics IV. Combinatorial Conundrum Session 17. Magic Squares and Related Problems Session 18. Double Counting, or There Is More than One Way to Cut a Cake Session 19. Mathematical Olympiad II Session 20. Divisibility I. Review Session 21. Divisibility II. Relatively Prime Numbers; GCF and LCM Session 22. Divisibility III. Mathematical Race Game Session 23. Mathematical Auction Session 24. Divisibility IV. Divisibility by 3 and Remainders Session 25. Divisibility V. Divisibility and Remainders Session 26. Graph Theory I. Graphs and Their Applications Session 27. Graph Theory II. Handshaking Theorem Session 28. Graph Theory III. Solving Problems with Graphs Session 29. Mathematical Olympiad III
520			_aThis book, a sequel to Mathematical Circle Diaries, Year 1, teaches how to think and solve problems in mathematics. The material, distributed among twenty-nine weekly lessons, includes detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle. The book covers a broad range of problem-solving strategies and proofing techniques, as well as some more advanced topics that go beyond the limits of a school curriculum. The topics include invariants, proofs by contradiction, the Pigeonhole principle, proofs by coloring, double counting, combinatorics, binary numbers, graph theory, divisibility and remainders, logic, and many others. When students take science and computing classes in high school and college, they will be better prepared for both the foundations and advanced material. The book contains everything that is needed to run a successful mathematical circle for a full year. This book, written by an author actively involved in teaching mathematical circles for fifteen years, is intended for teachers, math coaches, parents, and math enthusiasts who are interested in teaching math that promotes critical thinking. Motivated students can work through this book on their own.
942			_2lcc _cBK
999			_c2734 _d2734