The Art Of Mathematical Problem Solving

Author: Richard M. Beekman
Editor: Lulu.com
ISBN: 1329428900
File Size: 43,36 MB
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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.

Math Terpieces

Author: Greg Tang
Editor: Scholastic Inc.
ISBN: 1338191837
File Size: 80,45 MB
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In his most ground-breaking book since THE BEST OF TIMES (Fall 2002), Greg Tang underscores the importance of four basic rules in problem-solving. Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns, will guarantee any child success in math. In MATH-TERPIECES, Tang continues to challenge kids with his innovative approach to math, and uses art history to expand his vision for creative problem-solving.

The Art And Craft Of Problem Solving

Author: Paul Zeitz
Editor:
ISBN: 9781119239901
File Size: 43,35 MB
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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.

The Art Of Problem Solving Volume 1

Author: Sandor Lehoczky
Editor: Aops Incorporated
ISBN: 9780977304561
File Size: 68,29 MB
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"...offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover

The Art Of Problem Solving

Author: Alfred S. Posamentier
Editor: Corwin
ISBN: 9780803963610
File Size: 56,29 MB
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Problem solving has always been a fundamental element of mathematics. This innovative book challenges the perception that solving a problem is merely a means to an end. Focusing on problem solving as a subject in its own right, the contributors present a broad range of practical, theoretical, simple, intricate and purely mathematical examples.

Street Fighting Mathematics

Author: Sanjoy Mahajan
Editor: MIT Press
ISBN: 0262265591
File Size: 79,64 MB
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An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Psychology Of Problem Solving The The Background To Successful Mathematics Thinking

Author: Virgadamo Danielle Sauro
Editor: World Scientific
ISBN: 9811205728
File Size: 22,59 MB
Format: PDF
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The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.

Math Problem Solving Activities For Art

Author: Sylvia J. Connolly
Editor: Teacher Created Materials
ISBN: 1480772305
File Size: 79,34 MB
Format: PDF, ePub
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Sharpen mathematical problem-solving skills with these brain-teasing activities. Parents, students, and teachers will love these fun challenges, puzzles, and logical thinking pages. They're a great way to practice higher-order thinking skills.

Teaching And Learning Mathematical Problem Solving

Author: Edward A. Silver
Editor: Routledge
ISBN: 1136561234
File Size: 59,27 MB
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A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

Comprehending Problem Solving

Author: Arthur Hyde
Editor: Heinemann Educational Books
ISBN: 9780325049243
File Size: 64,47 MB
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Nationally recognized mathematics educator and author Art Hyde takes a culminating look at his thirty years of experience working with teachers and students to answer the question: In the Common Core era, what are the most successful practices for helping children solve mathematical problems with deep understanding? The key , he argues, is providing positive experiences with meaningful mathematics centered around rich activities. When students are given the opportunity to wrestle with appropriately difficult activities based on real life situations and intriguing contexts, they become excited about the math and willingly tackle problems with more zeal and accuracy than ever before. The result is deeper understanding of the content and greater skill at doing mathematics. Art draws on extensive research on how children learn and the relationship between reading and mathematical comprehension. His braided model of problem solving in which cognition, language, and mathematics are woven together intentionally forms the basis of math activities that he and numerous elementary teachers around the country have used. Look into the classrooms of some of these math teachers in this book, as they share their success stories illustrating the rewards of using these activities to foster deep mathematical understanding. Arthur Hyde is a professor of mathematics education at National Louis University, where he received its Excellence in Teaching award. While teaching high school mathematics in Philadelphia, he developed a variety of creative methods for teaching math. He also obtained a doctorate in curriculum and instruction from the University of Pennsylvania, where he later directed its teacher-education programs. He has worked frequently in elementary classrooms, conducting extensive professional development programs on teaching mathematics and math problem solving in Chicago and its surrounding school districts. His previous books include: Best Practice, Fourth Edition (coauthored with Steven Zemelman and Harvey Daniels), Understanding Middle School Math, and Comprehending Math.

The Art Of Problem Solving Volume 2

Author: Richard Rusczyk
Editor: Aops Incorporated
ISBN: 9780977304592
File Size: 36,76 MB
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"...offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover

Source Book Of Projects

Author:
Editor:
ISBN:
File Size: 31,69 MB
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Mathematical Discovery On Understanding Learning And Teaching Problem Solving Volumes I And Ii

Author: George Polya
Editor: Wiley
ISBN:
File Size: 30,11 MB
Format: PDF, ePub
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A unique, heuristic approach to mathematical discovery and problem solving This combined edition of Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving is unique among mathematics texts. Espousing a heuristic approach to mathematical problem solving, the text may be followed sequentially or according to instructors' individualized curricula. Beginning with a discussion of patterns and practical approaches to problem solving, the book then presents examples from various branches of math and science to help students discover how to solve problems on their own – an invaluable skill for the classroom and beyond.

The Art Of Problem Solving Volume 2

Author: Sandor Lehoczky
Editor: Aops Incorporated
ISBN: 9780977304585
File Size: 23,80 MB
Format: PDF, ePub
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"...offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover

The Teaching And Assessing Of Mathematical Problem Solving

Author: National Council of Teachers of Mathematics
Editor: Routledge
ISBN:
File Size: 51,21 MB
Format: PDF, Docs
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Adventures In Problem Solving

Author: S. Shirali
Editor: Universities Press
ISBN: 9788173714139
File Size: 40,54 MB
Format: PDF, Mobi
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Mathematical Problem Solving

Author: Berinderjeet Kaur
Editor: World Scientific
ISBN: 9814277215
File Size: 21,44 MB
Format: PDF, ePub, Docs
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Strategies Of Problem Solving

Author: Maria Nogin
Editor: Createspace Independent Publishing Platform
ISBN: 9781500642228
File Size: 23,61 MB
Format: PDF, Docs
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Solving mathematical problems is both a science and an art. It is a science because we need to learn some basic concepts and skills, and use proper terminology when explaining our solution to other people. It is also an art because very often we need to be creative. There are infinitely many types of math problems, and it is impossible to learn how to solve every problem in the world. However, there are a few basic principles that are good to know. There are a few approaches and methods that are often useful. In this book, we discuss the major ones, including various types of proofs, the pigeon hole principle, the principle of mathematical induction, invariants, coloring, etc. In each chapter, we provide basic definitions and facts to get you started. We do not prove most of the well-known facts given in this book, since our main goal is to learn how to solve problems, i.e. use these facts. They are usually proved in other college courses such as abstract algebra, number theory, and analysis. Sometimes, however, the idea of a proof of a theorem can be used for solving many problems. In such cases we provide the proof. The book contains over 300 problems on various topics and detailed solutions of approximately half of them. This book is primarily intended for high school and college students and mathematics teachers. Most chapters are accessible to middle school students as well. It would especially be helpful for those competing in mathematics contests and wishing to improve their problem solving skills. The first edition contained some minor errors which have been fixed in the second edition. More problems were also added.

Writing About The Mathematical Problem Solving Process To Help Nontraditional College Students Solve Mathematics Problems In A Beginning Algebra Course

Author: Kenneth Michael Williams
Editor:
ISBN:
File Size: 27,72 MB
Format: PDF
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The Art Of Problem Posing Second Edition

Author: Stephen I. Brown
Editor: Routledge
ISBN: 1136464646
File Size: 57,47 MB
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Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field. Special features include: * an exploration ofthe logical relationship between problem posing and problem solving * a special chapter devoted to teaching problem posing as a separate course * sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed * a special section on writing in mathematics