Math And Problem Solving

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Problem-Solving Strategies

Arthur Engel
Problem Solving Strategies Book PDF

Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 49,6 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.

Solving Mathematical Problems

Terence Tao
Solving Mathematical Problems Book PDF

Author : Terence Tao
Publisher : OUP Oxford
Page : 116 pages
File Size : 54,9 Mb
Release : 2006-07-28
Category : Mathematics
ISBN : 9780191568695

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Solving Mathematical Problems by Terence Tao Pdf

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.

Mathematical Problem Solving

Peter Liljedahl,Manuel Santos-Trigo
Mathematical Problem Solving Book PDF

Author : Peter Liljedahl,Manuel Santos-Trigo
Publisher : Springer
Page : 362 pages
File Size : 42,5 Mb
Release : 2019-02-12
Category : Education
ISBN : 9783030104726

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Mathematical Problem Solving by Peter Liljedahl,Manuel Santos-Trigo Pdf

This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

The Art and Craft of Problem Solving

Paul Zeitz
The Art and Craft of Problem Solving Book PDF

Author : Paul Zeitz
Publisher : John Wiley & Sons
Page : 389 pages
File Size : 52,6 Mb
Release : 2017
Category : Problem solving
ISBN : 9781119239901

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The Art and Craft of Problem Solving by Paul Zeitz Pdf

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.

Problem Solving in Mathematics Education

Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder
Problem Solving in Mathematics Education Book PDF

Author : Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder
Publisher : Springer
Page : 46 pages
File Size : 40,8 Mb
Release : 2016-06-27
Category : Education
ISBN : 9783319407302

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Problem Solving in Mathematics Education by Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder Pdf

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

The Dragon Curve

Alicia Burdess
The Dragon Curve Book PDF

Author : Alicia Burdess
Publisher : Unknown
Page : 56 pages
File Size : 49,7 Mb
Release : 2021-07-16
Category : Electronic
ISBN : 1039110231

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The Dragon Curve by Alicia Burdess Pdf

Aiyana finds a long, skinny strip of paper on the ground that looks like a road. As she follows the road, she folds the paper in half, and it becomes a mountain for her to climb. With every fold, she makes a new shape, one that fuels her curiosity in wonderful ways and takes her on a magical journey into the world of fractals. This is a beautiful story about the power of imagination, mathematics, and the world around us. It is a chance for readers of all ages to catch a glimpse of the beauty of math and inspire the joy of their own inner mathematician. Fold along with Aiyana and see the magic unfold!

The Stanford Mathematics Problem Book

George Polya,Jeremy Kilpatrick
The Stanford Mathematics Problem Book Book PDF

Author : George Polya,Jeremy Kilpatrick
Publisher : Courier Corporation
Page : 80 pages
File Size : 42,7 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9780486318325

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The Stanford Mathematics Problem Book by George Polya,Jeremy Kilpatrick Pdf

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.

Problem-Solving Through Problems

Loren C. Larson
Problem Solving Through Problems Book PDF

Author : Loren C. Larson
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 48,8 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.

Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

David Linker,Alan Sultan
Mathematics Problem Solving Challenges for Secondary School Students and Beyond Book PDF

Author : David Linker,Alan Sultan
Publisher : World Scientific
Page : 196 pages
File Size : 47,6 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.

Problem-Solving Strategies in Mathematics

Alfred S Posamentier,Stephen Krulik
Problem Solving Strategies in Mathematics Book PDF

Author : Alfred S Posamentier,Stephen Krulik
Publisher : World Scientific Publishing Company
Page : 188 pages
File Size : 50,9 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.

Mathematical Problem Solving

ALAN H. SCHOENFELD
Mathematical Problem Solving Book PDF

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
Page : 426 pages
File Size : 55,6 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, topeople 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.

Problem Solving Through Recreational Mathematics

Bonnie Averbach,Orin Chein
Problem Solving Through Recreational Mathematics Book PDF

Author : Bonnie Averbach,Orin Chein
Publisher : Courier Corporation
Page : 480 pages
File Size : 45,6 Mb
Release : 2012-03-15
Category : Mathematics
ISBN : 9780486131740

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Problem Solving Through Recreational Mathematics by Bonnie Averbach,Orin Chein Pdf

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.

Mathematics as Problem Solving

Alexander Soifer
Mathematics as Problem Solving Book PDF

Author : Alexander Soifer
Publisher : Springer Science & Business Media
Page : 120 pages
File Size : 43,6 Mb
Release : 2009-04-28
Category : Education
ISBN : 9780387746463

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Mathematics as Problem Solving by Alexander Soifer Pdf

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.

A Problem Seminar

D.J. Newman
A Problem Seminar Book PDF

Author : D.J. Newman
Publisher : Springer Science & Business Media
Page : 118 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461382140

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A Problem Seminar by D.J. Newman Pdf

There was once a bumper sticker that read, "Remember the good old days when air was clean and sex was dirty?" Indeed, some of us are old enough to remember not only those good old days, but even the days when Math was/un(!), not the ponderous THEOREM, PROOF, THEOREM, PROOF, . . . , but the whimsical, "I've got a good prob lem. " Why did the mood change? What misguided educational philoso phy transformed graduate mathematics from a passionate activity to a form of passive scholarship? In less sentimental terms, why have the graduate schools dropped the Problem Seminar? We therefore offer "A Problem Seminar" to those students who haven't enjoyed the fun and games of problem solving. CONTENTS Preface v Format I Problems 3 Estimation Theory 11 Generating Functions 17 Limits of Integrals 19 Expectations 21 Prime Factors 23 Category Arguments 25 Convexity 27 Hints 29 Solutions 41 FORMAT This book has three parts: first, the list of problems, briefly punctuated by some descriptive pages; second, a list of hints, which are merely meant as words to the (very) wise; and third, the (almost) complete solutions. Thus, the problems can be viewed on any of three levels: as somewhat difficult challenges (without the hints), as more routine problems (with the hints), or as a textbook on "how to solve it" (when the solutions are read). Of course it is our hope that the book can be enjoyed on any of these three levels.

The Art of Problem Solving, Volume 1

Sandor Lehoczky,Richard Rusczyk
The Art of Problem Solving Volume 1 Book PDF

Author : Sandor Lehoczky,Richard Rusczyk
Publisher : Mitchell Beazley
Page : 0 pages
File Size : 50,9 Mb
Release : 2006
Category : Mathematics
ISBN : 0977304566

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The Art of Problem Solving, Volume 1 by Sandor Lehoczky,Richard Rusczyk Pdf

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