The Art of Problem Solving, Volume 1

The Art of Problem Solving, Volume 1
Title The Art of Problem Solving, Volume 1 PDF eBook
Author Sandor Lehoczky
Publisher Mitchell Beazley
Pages 0
Release 2006
Genre Mathematics
ISBN 9780977304561

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" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover




The Art of Problem Solving: pt. 2 . The basics solutions manual

The Art of Problem Solving: pt. 2 . The basics solutions manual
Title The Art of Problem Solving: pt. 2 . The basics solutions manual PDF eBook
Author Sandor Lehoczky
Publisher Mitchell Beazley
Pages 0
Release 2006
Genre Mathematics
ISBN 9780977304578

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" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover




The Art of Problem Solving

The Art of Problem Solving
Title The Art of Problem Solving PDF eBook
Author Sandor Lehoczky
Publisher
Pages 361
Release 1993-11-01
Genre Problem solving
ISBN 9781885875013

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The Art of Problem Solving Vol. I

The Art of Problem Solving Vol. I
Title The Art of Problem Solving Vol. I PDF eBook
Author Sandor Lehoczky
Publisher
Pages 0
Release 1995
Genre Problem solving
ISBN 9781885875006

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A Primer for Mathematics Competitions

A Primer for Mathematics Competitions
Title A Primer for Mathematics Competitions PDF eBook
Author Alexander Zawaira
Publisher OUP Oxford
Pages 368
Release 2008-10-31
Genre Mathematics
ISBN 0191561703

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The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring "mathlete" may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum.




Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8

Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8
Title Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8 PDF eBook
Author Anna Burago
Publisher American Mathematical Soc.
Pages 362
Release 2018-07-03
Genre Games in mathematics education
ISBN 147043718X

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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 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. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.




Writing Math Research Papers - 4th Edition

Writing Math Research Papers - 4th Edition
Title Writing Math Research Papers - 4th Edition PDF eBook
Author Robert Gerver
Publisher IAP
Pages 299
Release 2014-09-01
Genre Education
ISBN 1623968658

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Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. This program received the 1997 Chevron Best Practices in Education Award as the premier high school mathematics course in the United States. This book is an excellent resource for students and teachers of the International Baccalaureate program.