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.

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

Teaching Children To Love Problem Solving A Reference From Birth Through Adulthood

Author: Germain-williams Terri
Publisher: World Scientific
ISBN: 9813208813
Format: PDF, ePub, Docs
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This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill.

Problems for Metagrobologists

Author: David Singmaster
Publisher: World Scientific
ISBN: 9814663662
Format: PDF, ePub, Mobi
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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

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.

Integrating Computers And Problem Posing In Mathematics Teacher Education

Author: Abramovich Sergei
Publisher: World Scientific
ISBN: 9813273933
Format: PDF, ePub, Docs
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The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

What Teachers Need to Know about Numeracy

Author: Westwood
Publisher: Aust Council for Ed Research
ISBN: 0864319045
Format: PDF, ePub, Mobi
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There is an increasing need for numeracy skills in all aspects of life. This book explores the issues that are emerging regarding the teaching of these skills, beginning with preschool and the early years of primary school through to adults with poor numeracy skills. It draws on research and relevant literature from several different countries to provide a comprehensive overview of the subject and contains many links to other sources of information and additional resources.

Introducing Physical Science Grades 4 6

Author: Myrl Shireman
Publisher: Mark Twain Media
ISBN: 1580377009
Format: PDF, ePub, Mobi
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Connect students in grades 4–6 with science using Introducing Physical Science. This 128-page book helps students who struggle with the basic concepts of physical science. The activities cover topics such as graphing and interpreting graphed data, the use of scientific instruments to collect data, buoyancy, sound vibrations, temperature, gravity, and magnetism. To supplement reading, the book includes specific directions that make multisyllabic words easier to understand and pronounce. The reading exercises are perfect for use at school and home, and the book supports National Science Education Standards.