| Description |
1 online resource |
| Series |
ICME-13 monographs |
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ICME-13 Monographs.
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| Contents |
Foreword; Preface; Contents; Goals of Mathematics Instruction; 1 Goals of Mathematics Instruction: Seven Thoughts and Seven Illustrations of Means; Abstract; 1.1 Part I: Seven Thoughts on Mathematics Instruction; 1.2 Part II: Seven Illustration of Means; Acknowledgements; References; Geometry for Competitions; 2 From a Mathematical Situation to a Problem; Abstract; 2.1 Introduction; 2.2 What Is a Mathematical Situation?; 2.3 Several Examples of Mathematical Situations; 2.4 Some Problems Arising from the Mathematical Situations of Sect. 2.3 |
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2.5 Hints, Solutions and Comments to Some of the Problems and Examples2.5.1 Comment and Hint to Example 1.2; 2.5.2 Solution to Problem 4.1; 2.5.3 Solution of Problem 4.2; 2.5.4 Solution of the Problem 4.3; 2.5.5 Solution of the Problem 4.4; 2.5.6 Solution to Problem 4.5; 2.5.7 Solution to Problem 4.6; 2.5.8 Comments and Solution to Problem 4.7; 2.5.9 Solution to the Problems 4.8; 2.5.10 Solution to Problems 4.9.1 and 4.9.2; 2.5.11 Solution to Problem 4.10; 2.5.12 Solution to Problem 4.11; 2.5.13 Solution of the Problem 4.12; References; 3 Techniques for Solving Problems of Plane Geometry |
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Abstract3.1 Introduction; 3.2 Plane Geometry Problems (Moise 1990; Encyclopedia of the Solutions of Mathematics Problem 1983; Some Geometry Problems in Mathematical Olympiad Competitions 2015; Encyclopedia of Solved Problems 2016), Which Can be Solved by Analytic Geometry; 3.3 Lattice Points and Collinear Points (see Liu 1979); 3.4 Some Applications of Quadratic Equations; 3.5 Ceva's Theorem and Its Application; 3.6 Ptolemy's Theorem and Stewart's Theorem; 3.7 Erdős-Mordell Inequality; Acknowledgements; References; Combinatorics for Competitions |
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4 Arrangements and Transformations of Numbers on a Circle: An Essay Inspired by Problems of Mathematics CompetitionsAbstract; 4.1 Introduction; 4.2 Examples with Admissible Operations; 4.2.1 First Situation; 4.2.2 Second Situation; 4.2.3 Third Situation; 4.2.4 Fourth Situation; 4.3 Static Arrangements; 4.3.1 Example 1; 4.3.2 Example 2; 4.4 Problems to the Reader; 4.5 Conclusion; References; 5 Combinatorial Problems in the Mathematical Olympiad of Central America and the Caribbean; 5.1 Introduction; 5.2 Contest Problems; 5.2.1 Counting Problems; 5.2.2 Strategy Games |
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5.2.3 Configuration Problems5.2.4 Extremal Problems; 5.2.5 Miscelaneous Problems; 5.3 Shortlisted Problems; 5.4 Conclusions; References; Role of Competitions in the Classroom; 6 The Rainbow of Mathematics-Teaching the Complete Spectrum and the Role Mathematics Competitions Can Play; Abstract; 6.1 Introduction; 6.2 Defining the Rainbow; 6.3 Math Is Fun; 6.4 Math Is Useful; 6.5 Math in School. Connecting the Fun and the Usefulness; 6.6 Mathematics Competitions: Great at Connecting; 6.7 History on Top; Didactics on the Bottom; 6.8 An Example from the Rainbow: Sudoku to Graph Coloring |
| Summary |
This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students |
| Bibliography |
Includes bibliographical references at the end of each chapters and indexes |
| Notes |
Online resource; title from PDF title page (EBSCO, viewed June 21, 2017) |
| Subject |
Mathematics -- Competitions -- Youth
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Teaching of a specific subject.
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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Education
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Mathematics -- Study and teaching
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| Form |
Electronic book
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| Author |
Soifer, Alexander, editor.
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Kaiser, Gabriele, writer of foreword
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| ISBN |
9783319565859 |
|
3319565850 |
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