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BL
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| Record Number
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850285
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| Main Entry
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Burago, Anna,1967-
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| Title & Author
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Mathematical circle diaries, year 2 : : complete curriculum for grades 6 to 8 /\ Anna Burago.
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| Publication Statement
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Berkeley, California :: MSRI, Mathematical Sciences Research Institute ;Providence, Rhode Island :: American Mathematical Society,, [2018]
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| Series Statement
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MSRI mathematical circles library ;; 20
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| Page. NO
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1 online resource
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| ISBN
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1470448092
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: 9781470448097
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147043718X
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9781470437183
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| Contents
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Cover; Title page; Contents; Acknowledgments; Preliminaries; Mathematical Circles; A Few Words about This Book; Potential Students; Curriculum; Part 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.
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11.3. Mathematical Olympiad I. Second Set of Problems11.4. 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.
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2.2. Discussion of the Day: Problem-Solving Strategies2.3. 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.
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5.4. Take-Home Problem Set5.5. 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.
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8.3. Mathematical Dominoes Problems8.4. 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.
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| Abstract
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Mathematical circles, with their question-driven approach and emphasis on problem solving, expose students to the type of mathematics that stimulates the development of logical thinking, creativity, analytical abilities, and mathematical reasoning. These skills, while scarcely introduced at school, are in high demand in the modern world. This 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 con.
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| Subject
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Games in mathematics education.
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| Subject
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Mathematics-- Study and teaching (Middle school)-- Activity programs.
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Games in mathematics education.
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| Subject
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General-- General and miscellaneous specific topics-- Popularization of mathematics.
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General-- General and miscellaneous specific topics-- Problem books.
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| Subject
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General-- General and miscellaneous specific topics-- Recreational mathematics.
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| Subject
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Mathematics education-- Education and instruction in mathematics-- Teaching problem solving and heuristic strategies.
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Mathematics education-- General, mathematics and education-- Popularization of mathematics.
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Mathematics education-- General, mathematics and education-- Recreational mathematics, games.
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MATHEMATICS-- Essays.
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MATHEMATICS-- Pre-Calculus.
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MATHEMATICS-- Reference.
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| Subject
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Mathematics-- Study and teaching (Middle school)-- Activity programs.
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| Dewey Classification
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510.71/2
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| LC Classification
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QA20.G35
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| NLM classification
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97A2097A8000A0700A0800A0997D50msc
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