Mathematics Problem Solving Challenges for Secondary School Students and Beyond

Author: David Linker
Publisher: World Scientific
ISBN: 981473005X
Format: PDF, Kindle
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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.

The Art of Mathematical Problem Solving

Author: Richard M. Beekman
Publisher: Lulu.com
ISBN: 1329428900
Format: PDF, ePub, Mobi
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Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.

Powerful Problem Solving

Author: Max Ray
Publisher: Heinemann Educational Books
ISBN: 9780325050904
Format: PDF, Kindle
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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 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. Save 15% when you purchase 15 copies with a Book Study Bundle!

Strategy Games to Enhance Problem Solving Ability in Mathematics

Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9813146362
Format: PDF, ePub, Docs
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Games are seen only for recreation. However, this book shows that games can be used to strengthen problem-solving skills and beyond. This book presents strategy games and discusses for each one solutions towards a winning position in the game. In most cases, these strategies are analogous to problem-solving strategies in mathematics. Readers are also exposed to a wide variety of games from several different cultures, which will broaden the perspective of the readers.

Problem Solving Strategies in Mathematics

Author: Alfred S Posamentier
Publisher: World Scientific Publishing Company
ISBN: 9814651656
Format: PDF, Docs
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This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.

Math Puzzles and Brainteasers Grades 3 5

Author: Terry Stickels
Publisher: John Wiley & Sons
ISBN: 9780470564677
Format: PDF, Docs
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Number puzzles, spatial/visual puzzles, cryptograms, Sudoku, Kokuro, logic puzzles, and word games like Frame Games are all a great way to teach math and problem-solving skills to elementary and middle school students. In these two new collections, puzzle master Terry Stickels provides puzzles and brain games that range from simple to challenging and are organized by grade level and National Council of Teachers of Mathematics (NCTM) content areas. Each book offers over 300 brain games that will help students learn core math concepts and develop critical thinking skills. The books include a wide range of puzzle types and cover a variety of math topics, from fractions and geometry to probability and algebra.

Central European Olympiad A The Mathematical Duel

Author: Geretschlager Robert
Publisher: World Scientific
ISBN: 9813223928
Format: PDF
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This book contains the most interesting problems from the first 24 years of the "Mathematical Duel," an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic. The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge. Contents: IntroductionNumber TheoryAlgebraCombinatoricsGeometry4! Years of Problems Readership: General public, students and teachers preparing for olympiad-style mathematical competitions Keywords: Mathematics Competition;Problem SolvingReview: Key Features: The wide selection of problems makes it especially interesting for students and teachers preparing for olympiad-style mathematical competitionsThe participants in this particular competition range in age from 13 to 18, and the problems are created with this wide range in mindAny interested reader is bound to find something interesting to suit their own level of experience

180 Days of Problem Solving for Fourth Grade

Author:
Publisher:
ISBN: 1425895697
Format: PDF, ePub, Mobi
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The 180 Days of Problem Solving e-Book for Grade 4 offers daily problem solving practice geared towards developing the critical thinking skills needed to approach complex problems. This teacher-friendly e-Book provides thematic units that connect to a standards-based skill that fourth grade students are expected to know to advance to the next level. Lesson plans offer guidance and support for every day of the week, outlining strategies and activities that dig deeper than routine word problems. Each week students will use visual representations and analyze different types of word problems (including non-routine, multi-step, higher thinking problems). This comprehensive resource builds critical thinking skills and connects to national and state standards.

Problems for Metagrobologists

Author: David Singmaster
Publisher: World Scientific
ISBN: 9814663662
Format: PDF, ePub
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This book is a collection of over 200 problems that David Singmaster has composed since 1987. Some of the math problems have appeared in his various puzzle columns for BBC Radio and TV, Canadian Broadcasting, Focus (the UK popular science magazine), Games and Puzzles, the Los Angeles Times, Micromath, the Puzzle a Day memo pad and the Weekend Telegraph. While some of these are already classics, many of the puzzles have not been published elsewhere previously. Puzzle enthusiasts of all ages will find here arithmetic problems, properties of digits; monetary problems; alpha-metics; Diophantine problems; magic figures; sequence problems; logical problems; geometric problems; physics problems; combinatorial problems; geographic problems; calendar problems; clock problems; dissection problems and verbal problems. Contents:General Arithmetic PuzzlesProperties of DigitsMagic FiguresMonetary ProblemsDiophantine RecreationsAlphameticsSequence PuzzlesLogic PuzzlesGeometrical PuzzlesGeographic ProblemsCalendrical ProblemsClock ProblemsPhysical ProblemsCombinatorial ProblemsSome Verbal Puzzles Readership: General public. Key Features:The problems are generally original, though some are corrections or extensions of known problemsA number are open-ended, leading to unsolved problems for the readerKeywords:Metagrobologists;Alphametics;Magic Figures;Clock Problems;Diophantine "I believe the book will be welcome by amateur, as well as professional, metagrobologists. Many of the puzzles could be used as warm-up exercises to engender creative atmosphere in a math class. I am sure that many a math teacher will agree with this assessment." Alexander Bogomolny Cut The Knot

Real World Problems for Secondary School Mathematics Students

Author: Juergen Maasz
Publisher: Springer Science & Business Media
ISBN: 9460915434
Format: PDF, Kindle
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This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e.g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do! This book is written for mathematics classroom teachers and their students, mathematics teacher educators, and mathematics teachers in training at pre-service and in-service phases of their careers.