Strategies For Problem Solving

Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 40,7 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 : 40,8 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 : H. Scott Fogler,Steven E. LeBlanc
Publisher : Pearson College Division
Page : 300 pages
File Size : 50,6 Mb
Release : 2008
Category : Business & Economics
ISBN : 0130082791

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Strategies for Creative Problem Solving by H. Scott Fogler,Steven E. LeBlanc Pdf

This book provides a framework to hone and polish any person's creative problem-solving skills.

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 281 pages
File Size : 41,5 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

"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.

Author : Karla Newton
Publisher : Unknown
Page : 284 pages
File Size : 50,8 Mb
Release : 2016
Category : Medical
ISBN : 1634855523

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Problem-Solving by Karla Newton Pdf

Life is a series of coping with a variety of problems. Major or minor problems arise for us all the time, and our life is filled with them. Thus, we need to engage in constant problem-solving in our daily lives. This book reviews strategies, challenges and outcomes of problem-solving. Chapter One discusses computational thinking and fuzzy logic in problem solving. Chapter Two reviews digital technologies and mathematical problem solving. Chapter Three deals with the concept of Einstellung effect - a psychological phenomenon evinced by problem solvers through a tendency (mind set) to use previously learned workable strategy in situations that either can be resolved more efficiently or to which the strategy is not applicable at all. Chapter Four gives an overview of the research on the use of narrative Context Rich Problems (CRP) in physics education at the upper secondary and higher education levels. Chapter Five examines teaching and assessing story problems. Chapter Six assesses the interpersonal problem-solving process. Chapter Seven discusses validations and outcomes of a multi-dimensional scale to measure strategies for solving personal problems. In Chapter Eight, the ability for solving problems in our day-to-day lives, called social problem-solving is addressed. Chapter Nine examines the relationship between social problem solving and some mediator and moderator variables among 12- and 16-year-old Hungarian students. Chapter Ten investigates the effect of improving young students' self-regulatory strategies on their persistence to face and overcome cognitive obstacles and their problem-solving ability. Chapter Eleven discusses improving undergraduate student generic problem solving skills by using problem-based learning in large classroom settings. Chapter Twelve presents problem-solving therapy (PST) as an effective intervention to prevent or reduce psychopathology and to enhance positive well-being by helping individuals cope more effectively with stressful life problems. Chapter Thirteen investigates the status of Problem Solving in our modern society, and explores perspectives in the forthcoming Third Industrial Revolution.

Author : George Pólya
Publisher : Princeton University Press
Page : 288 pages
File Size : 42,7 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 : Loren C. Larson
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 44,5 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 : Charles Conn,Robert McLean
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 46,7 Mb
Release : 2019-03-04
Category : Business & Economics
ISBN : 9781119553038

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Bulletproof Problem Solving by Charles Conn,Robert McLean Pdf

Complex problem solving is the core skill for 21st Century Teams Complex problem solving is at the very top of the list of essential skills for career progression in the modern world. But how problem solving is taught in our schools, universities, businesses and organizations comes up short. In Bulletproof Problem Solving: The One Skill That Changes Everything you’ll learn the seven-step systematic approach to creative problem solving developed in top consulting firms that will work in any field or industry, turning you into a highly sought-after bulletproof problem solver who can tackle challenges that others balk at. The problem-solving technique outlined in this book is based on a highly visual, logic-tree method that can be applied to everything from everyday decisions to strategic issues in business to global social challenges. The authors, with decades of experience at McKinsey and Company, provide 30 detailed, real-world examples, so you can see exactly how the technique works in action. With this bulletproof approach to defining, unpacking, understanding, and ultimately solving problems, you’ll have a personal superpower for developing compelling solutions in your workplace. Discover the time-tested 7-step technique to problem solving that top consulting professionals employ Learn how a simple visual system can help you break down and understand the component parts of even the most complex problems Build team brainstorming techniques that fight cognitive bias, streamline workplanning, and speed solutions Know when and how to employ modern analytic tools and techniques from machine learning to game theory Learn how to structure and communicate your findings to convince audiences and compel action The secrets revealed in Bulletproof Problem Solving will transform the way you approach problems and take you to the next level of business and personal success.

Author : Arnaud Chevallier
Publisher : Oxford University Press
Page : 288 pages
File Size : 54,5 Mb
Release : 2016-07-06
Category : Business & Economics
ISBN : 9780190463922

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Strategic Thinking in Complex Problem Solving by Arnaud Chevallier Pdf

Whether you are a student or a working professional, you can benefit from being better at solving the complex problems that come up in your life. Strategic Thinking in Complex Problem Solving provides a general framework and the necessary tools to help you do so. Based on his groundbreaking course at Rice University, engineer and former strategy consultant Arnaud Chevallier provides practical ways to develop problem solving skills, such as investigating complex questions with issue maps, using logic to promote creativity, leveraging analogical thinking to approach unfamiliar problems, and managing diverse groups to foster innovation. This book breaks down the resolution process into four steps: 1) frame the problem (identifying what needs to be done), 2) diagnose it (identifying why there is a problem, or why it hasn't been solved yet), 3) identify and select potential solutions (identifying how to solve the problem), and 4) implement and monitor the solution (resolving the problem, the 'do'). For each of these four steps - the what, why, how, and do - this book explains techniques that promotes success and demonstrates how to apply them on a case study and in additional examples. The featured case study guides you through the resolution process, illustrates how these concepts apply, and creates a concrete image to facilitate recollection. Strategic Thinking in Complex Problem Solving is a tool kit that integrates knowledge based on both theoretical and empirical evidence from many disciplines, and explains it in accessible terms. As the book guides you through the various stages of solving complex problems, it also provides useful templates so that you can easily apply these approaches to your own personal projects. With this book, you don't just learn about problem solving, but how to actually do it.

Author : Amy E. Herman
Publisher : HarperCollins
Page : 362 pages
File Size : 47,5 Mb
Release : 2021-12-14
Category : Business & Economics
ISBN : 9780063004863

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Fixed. by Amy E. Herman Pdf

With Amy Herman’s Fixed., we now have access to what the FBI, NATO, the State Department, Interpol, Scotland Yard, and many more organizations and their leaders have been using to solve their most intractable problems. Demonstrating a powerful paradigm shift for finding solutions, Herman teaches us to see things differently, using art to challenge our default thinking and open up possibilities otherwise overlooked. Her unexpected, insightful, and often delightful methodology is sought after by leaders and professionals for whom failure is catastrophic. Luckily for us, these tactics work— no matter the problem’s scale or complexity. And we don’t need an art degree or previous knowledge about art to benefit from her approach, only a willingness to open our eyes and our minds. Yes, things go wrong all the time. What matters most is what we do to fix them.

Author : Alexander Toller,Freya Edholm,Dennis Chen
Publisher : Lulu.com
Page : 460 pages
File Size : 47,5 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 9780359714926

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Proofs in Competition Math: Volume 1 by Alexander Toller,Freya Edholm,Dennis Chen Pdf

Author : Alexander Toller,Freya Edholm,Dennis Chen
Publisher : Lulu.com
Page : 452 pages
File Size : 48,9 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 9780359781980

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Proofs in Competition Math: Volume 2 by Alexander Toller,Freya Edholm,Dennis Chen Pdf

Author : Masaaki Umehara,Kotaro Yamada
Publisher : World Scientific Publishing Company
Page : 328 pages
File Size : 41,9 Mb
Release : 2017-05-12
Category : Electronic
ISBN : 9789814740265

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Differential Geometry of Curves and Surfaces by Masaaki Umehara,Kotaro Yamada Pdf

This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well. Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates. Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities. In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field. Request Inspection Copy

Author : Răzvan Gelca,Titu Andreescu
Publisher : Springer
Page : 857 pages
File Size : 54,6 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 : Linda Flower
Publisher : Houghton Mifflin Harcourt P
Page : 316 pages
File Size : 42,5 Mb
Release : 1989
Category : Language Arts & Disciplines
ISBN : PSU:000022685094

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Problem-solving Strategies for Writing by Linda Flower Pdf