Problem-Solving Strategies

Problem-Solving Strategies

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  • Author: Arthur Engel
  • Publisher: Springer Science & Business Media
  • ISBN: 0387226419
  • Category : Mathematics
  • Languages : en
  • Pages : 403

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.


Solving Mathematical Problems

Solving Mathematical Problems

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  • Author: Terence Tao
  • Publisher: OUP Oxford
  • ISBN: 0191568694
  • Category : Mathematics
  • Languages : en
  • Pages : 116

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.


Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

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  • Author: David Linker
  • Publisher: World Scientific
  • ISBN: 981473005X
  • Category : Mathematics
  • Languages : en
  • Pages : 196

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels. Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond. Contents:Arithmetic and LogicAlgebraGeometryTrigonometryLogarithmsCountingNumber TheoryProbabilityFunctional Equations Readership: High school students, teachers and general public interested in exciting mathematics problems.


Problem-Solving Through Problems

Problem-Solving Through Problems

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  • Author: Loren C. Larson
  • Publisher: Springer Science & Business Media
  • ISBN: 1461254981
  • Category : Mathematics
  • Languages : en
  • Pages : 352

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.


The Art and Craft of Problem Solving

The Art and Craft of Problem Solving

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  • Author: Paul Zeitz
  • Publisher: John Wiley & Sons
  • ISBN: 1119239907
  • Category : Problem solving
  • Languages : en
  • Pages : 389

This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.


Mathematics as Problem Solving

Mathematics as Problem Solving

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  • Author: Alexander Soifer
  • Publisher: Springer Science & Business Media
  • ISBN: 0387746463
  • Category : Education
  • Languages : en
  • Pages : 120

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.


Problem Solving Through Recreational Mathematics

Problem Solving Through Recreational Mathematics

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  • Author: Bonnie Averbach
  • Publisher: Courier Corporation
  • ISBN: 0486131742
  • Category : Mathematics
  • Languages : en
  • Pages : 480

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.


The Stanford Mathematics Problem Book

The Stanford Mathematics Problem Book

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  • Author: George Polya
  • Publisher: Courier Corporation
  • ISBN: 048631832X
  • Category : Mathematics
  • Languages : en
  • Pages : 80

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.


Powerful Problem Solving

Powerful Problem Solving

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  • Author: Max Ray
  • Publisher: Heinemann Educational Books
  • ISBN: 9780325050904
  • Category : Education
  • Languages : en
  • Pages : 0

How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.


Creative Problem Solving in School Mathematics

Creative Problem Solving in School Mathematics

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  • Author: George Lenchner
  • Publisher:
  • ISBN: 9780975731611
  • Category : Australian Primary Schools Mathematical Olympiad
  • Languages : en
  • Pages : 281