Problem Solving Methods And Strategies In High School Mathematical Competitions

Author : Bin Xiong,Yijie He
Publisher : World Scientific
Page : 301 pages
File Size : 43,8 Mb
Release : 2023-12-14
Category : Mathematics
ISBN : 9789811277443

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Problem Solving Methods And Strategies In High School Mathematical Competitions by Bin Xiong,Yijie He Pdf

This book not only introduces important methods and strategies for solving problems in mathematics competition, but also discusses the basic principles behind them and the mathematical way of thinking.It may be used as a valuable textbook for a mathematics competition course or a mathematics education course at undergraduate and graduate level. It can also serve as a reference book for students and teachers in primary and secondary schools.The materials of this book come from a book series of Mathematical Olympiad Competition. It is a collection of problems and solutions of the major mathematical competitions in China. The translation is done by Yongming Liu.The authors are mathematical competition teachers and researchers, many China's national team coaches and national team leaders. Many techniques and approaches in the book come directly from their own research results.

Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 41,7 Mb
Release : 2008-01-19
Category : Mathematics
ISBN : 9780387226415

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Problem-Solving Strategies by Arthur Engel Pdf

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Author : Kevin Wang,Kelly Ren,John Lensmire
Publisher : Unknown
Page : 156 pages
File Size : 53,8 Mb
Release : 2016-02-01
Category : Electronic
ISBN : 194486301X

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Cracking the Hich School Math Competitions Solutions Manual by Kevin Wang,Kelly Ren,John Lensmire Pdf

This book contains the curriculum materials of the Math Challenge courses at Areteem Institute. The math competitions for middle and high school students generally do not involve college mathematics such as calculus and linear algebra. There are four main topics covered in the competitions: Number Theory, Algebra, Geometry, and Combinatorics. The problems in the math competitions are usually challenging problems for which conventional methods are not sufficient, and students are required to use more creative ways to combine the methods they have learned to solve these problems. The companion book, "Cracking the High School Math Competitions," covers these topics, along with fundamental concepts required and problem solving strategies useful for solving problems in the math competitions such as AMC 10 & 12, ARML, and ZIML Division JV. This book provides complete solutions to the problems in the aforementioned book. For information about Areteem Institute, visit http: //www.areteem.org.

Author : Kevin Wang,Kelly Ren,John Lensmire
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 2016-01-20
Category : Electronic
ISBN : 1944863001

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Cracking the Hich School Math Competitions by Kevin Wang,Kelly Ren,John Lensmire Pdf

This book contains the curriculum materials of the Math Challenge courses at Areteem Institute. The math competitions for middle and high school students generally do not involve college mathematics such as calculus and linear algebra. There are four main topics covered in the competitions: Number Theory, Algebra, Geometry, and Combinatorics. The problems in the math competitions are usually challenging problems for which conventional methods are not sufficient, and students are required to use more creative ways to combine the methods they have learned to solve these problems. This book covers these topics, along with fundamental concepts required and problem solving strategies useful for solving problems in the math competitions such as AMC 10 & 12, ARML, and ZIML Division JV. For information about Areteem Institute, visit http: //www.areteem.org.

Author : Michael A. Radin
Publisher : CRC Press
Page : 160 pages
File Size : 53,8 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781000396669

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Introduction to Math Olympiad Problems by Michael A. Radin Pdf

Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions

Author : Martin J. Erickson,Joe Flowers
Publisher : Pearson
Page : 0 pages
File Size : 44,6 Mb
Release : 1999
Category : Problem solving
ISBN : 013096445X

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Principles of Mathematical Problem Solving by Martin J. Erickson,Joe Flowers Pdf

For introductory undergraduate courses in mathematics and problem-solving, students preparing for such academic contests as the William Lowell Putnam Mathematical Competition, and advanced high school students studying for the American Mathematical Olympiad. This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by numerous exercises and their solutions.

Author : Richard Hammond
Publisher : Independently Published
Page : 119 pages
File Size : 50,5 Mb
Release : 2019-04-25
Category : Electronic
ISBN : 1095887874

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Challenging Problems from Around the World Vol. 2 by Richard Hammond Pdf

There are many countries around the world that hold Mathematics Competitions. The Competitions are extremely interesting since many professors try to create new interesting problems. If you want to take part in these competitions, you have to solve many problems. That means you must master your problem-solving skills. Challenging Problems from Around the World Vol 2 is a selected problem book. This book has only two chapters. The first chapter of this book is a collection of problems. We select many good problems from different sources. Most of them used to appear in Mathematics Competitions. In this part, we want the readers try their best to solve the problems. Remember that only a few people can solve all problems in this book. So, do not be up set if you cannot solve some problems. Even we cannot solve problems, we still gain some techniques in solving problems. The readers should keep in mind that the only way in learning Mathematics is to do Mathematics. The second chapter of this book was written about the solution to each problem that listed in the first chapter. We try to solve the problems step by step. We believe that the solutions will help the readers to understand well. Reading through this part, we hope the readers will learn many problem-solving strategies. Let this book be your close friend when you learn about Mathematics. We hope the readers have a great journey in reading this book. Richard S.Hammond

Author : J. Douglas Faires
Publisher : MAA
Page : 344 pages
File Size : 50,9 Mb
Release : 2006-12-21
Category : Mathematics
ISBN : 088385824X

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First Steps for Math Olympians by J. Douglas Faires Pdf

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

Author : Anonim
Publisher : World Scientific
Page : 433 pages
File Size : 46,8 Mb
Release : 2024-03-19
Category : Mathematics
ISBN : 9789811292200

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Mathematical Olympiad In China (2021-2022): Problems And Solutions by Anonim Pdf

In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results — they won first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Xiao Liang, Yu Hongbing, Yao Yijun, Qu Zhenhua, Li Ting, Ai Yinhua, Wang Bin, Fu Yunhao, He Yijie, Zhang Sihui, Wang Xinmao, Lin Tianqi, Xu Disheng, et al. Those who took part in the translation work are Chen Haoran and Zhao Wei.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: a collection of mathematical Olympiad problems (2021-2022). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.

Author : Jason Batteron
Publisher : Unknown
Page : 128 pages
File Size : 44,9 Mb
Release : 2011-01-01
Category : Electronic
ISBN : 1934124206

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Competition Math for Middle School by Jason Batteron Pdf

Author : Evan Chen
Publisher : American Mathematical Soc.
Page : 311 pages
File Size : 41,5 Mb
Release : 2021-08-23
Category : Education
ISBN : 9781470466206

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Euclidean Geometry in Mathematical Olympiads by Evan Chen Pdf

This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Author : Kim Hoo Hang,Haibin Wang
Publisher : World Scientific Publishing Company
Page : 356 pages
File Size : 42,6 Mb
Release : 2017-05-19
Category : Electronic
ISBN : 9789814583763

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Solving Problems in Geometry by Kim Hoo Hang,Haibin Wang Pdf

This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry. Request Inspection Copy

Author : Richard Hammond
Publisher : Independently Published
Page : 118 pages
File Size : 47,6 Mb
Release : 2019-05-22
Category : Electronic
ISBN : 1099712947

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Challenging Problems from Around the World Vol. 3 by Richard Hammond Pdf

There are many countries around the world that hold Mathematics Competitions. The Competitions are extremely interesting since many professors try to create new interesting problems. If you want to take part in these competitions, you have to solve many problems. That means you must master your problem-solving skills. Challenging Problems from Around the World Vol 3 is a selected problem book. This book has only two chapters. The first chapter of this book is a collection of problems. We select many good problems from different sources. Most of them used to appear in Mathematics Competitions. In this part, we want the readers try their best to solve the problems. Remember that only a few people can solve all problems in this book. So, do not be up set if you cannot solve some problems. Even we cannot solve problems, we still gain some techniques in solving problems. The readers should keep in mind that the only way in learning Mathematics is to do Mathematics. The second chapter of this book was written about the solution to each problem that listed in the first chapter. We try to solve the problems step by step. We believe that the solutions will help the readers to understand well. Reading through this part, we hope the readers will learn many problem-solving strategies. Let this book be your close friend when you learn about Mathematics. We hope the readers have a great journey in reading this book. Richard S.Hammond

Author : Titu Andreescu,Dorin Andrica,Zuming Feng
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 49,6 Mb
Release : 2007-04-05
Category : Mathematics
ISBN : 9780817645618

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104 Number Theory Problems by Titu Andreescu,Dorin Andrica,Zuming Feng Pdf

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

Author : Ellina Grigorieva
Publisher : Birkhäuser
Page : 327 pages
File Size : 43,5 Mb
Release : 2015-09-17
Category : Mathematics
ISBN : 9783319198873

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Methods of Solving Nonstandard Problems by Ellina Grigorieva Pdf

This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions. The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems. Over 360 problems are included with hints, answers, and detailed solutions. Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics. Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.