Problem Solving Strategies In Mathematics

Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 50,6 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 : Alfred S Posamentier,Stephen Krulik
Publisher : World Scientific Publishing Company
Page : 188 pages
File Size : 44,8 Mb
Release : 2015-03-05
Category : Mathematics
ISBN : 9789814651653

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Problem-Solving Strategies in Mathematics by Alfred S Posamentier,Stephen Krulik Pdf

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.

Author : George Pólya
Publisher : Princeton University Press
Page : 288 pages
File Size : 41,5 Mb
Release : 2014
Category : Mathematics
ISBN : 9780691164076

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How to Solve it by George Pólya Pdf

"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 280 pages
File Size : 40,9 Mb
Release : 2008-03-20
Category : Education
ISBN : 9781452295572

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Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by Alfred S. Posamentier,Stephen Krulik Pdf

This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.

Author : Loren C. Larson
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461254980

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Problem-Solving Through Problems by Loren C. Larson Pdf

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.

Author : Ken Johnson,Ted Herr
Publisher : Unknown
Page : 576 pages
File Size : 44,6 Mb
Release : 2001
Category : Matemáticas
ISBN : PSU:000058517109

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Problem Solving Strategies by Ken Johnson,Ted Herr Pdf

Author : Alfred S Posamentier,Stephen Krulik
Publisher : World Scientific
Page : 136 pages
File Size : 53,6 Mb
Release : 2016-11-11
Category : Mathematics
ISBN : 9789813146365

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Strategy Games to Enhance Problem-Solving Ability in Mathematics by Alfred S Posamentier,Stephen Krulik Pdf

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.

Author : David Linker,Alan Sultan
Publisher : World Scientific
Page : 196 pages
File Size : 44,9 Mb
Release : 2016-02-25
Category : Mathematics
ISBN : 9789814730051

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Mathematics Problem-Solving Challenges for Secondary School Students and Beyond by David Linker,Alan Sultan Pdf

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.

Author : Kiana Avestimehr,Salman Avestimehr
Publisher : Unknown
Page : 124 pages
File Size : 47,7 Mb
Release : 2020-06-24
Category : Electronic
ISBN : 1680839845

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Problem Solving Strategies for Elementary-School Math by Kiana Avestimehr,Salman Avestimehr Pdf

This book teaches 7 basic problem solving strategies that can be used by elementary students to overcome the challenge of how to start thinking about a math problem. It contains more than 100 challenging problems that are suitable for elementary-school students, along with their step-by-step solution to help the reader master these strategies.

Author : Steck-Vaughn
Publisher : Steck-Vaughn
Page : 0 pages
File Size : 55,8 Mb
Release : 2005-03
Category : Mathematics
ISBN : 1419005162

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Problem Solving Strategies by Steck-Vaughn Pdf

Problem Solving Strategies will help students learn problem solving strategies that they can apply to a wide variety of word problems. Based on MCTM standards problems are presented in math skill units. Each unit contains 7 activity pages, 2 review pages, and an enrichment page. This exciting book also includes a bound- in answer key and activities that include: estimation, patterns, graphs, and problems for working backwards.

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 305 pages
File Size : 45,5 Mb
Release : 2009-03-18
Category : Education
ISBN : 9781412960663

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Problem Solving in Mathematics, Grades 3-6 by Alfred S. Posamentier,Stephen Krulik Pdf

"Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level."-Janice L. Richardson, Associate Professor and Education Coordinator, Department of MathematicsElon UniversityHelp students succeed as problem solvers in and out of the classroom! Problem solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can:Apply the strategies to problems at different grade levels Incorporate these strategies into a mathematics program Understand how each strategy can be applied to real-life situations Make each strategy an integral part of students' thinking processesWith helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!

Author : Răzvan Gelca,Titu Andreescu
Publisher : Springer
Page : 857 pages
File Size : 43,5 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9783319589886

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Putnam and Beyond by Răzvan Gelca,Titu Andreescu Pdf

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
Page : 409 pages
File Size : 46,5 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483295480

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Mathematical Problem Solving by ALAN H. SCHOENFELD Pdf

This book is addressed to people with research interests in the nature of mathematical thinking at any level, to people with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Author : MICHELLE. MANES
Publisher : Unknown
Page : 128 pages
File Size : 44,7 Mb
Release : 2018
Category : Electronic
ISBN : OCLC:1096529964

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MATHEMATICS FOR ELEMENTARY TEACHERS. (PRODUCT ID 23864410). by MICHELLE. MANES Pdf

Author : Susan O'Connell
Publisher : Heinemann Educational Books
Page : 188 pages
File Size : 44,7 Mb
Release : 2007
Category : Education
ISBN : UVA:X030262926

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Introduction to Problem Solving by Susan O'Connell Pdf

Presents techniques and examples for teaching prekindergarten through second grade students mathematical thinking and problem solving, and includes a CD-ROM containing modifiable activities.