Mathematical Discovery On Understanding Learning And Teaching Problem Solving
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Mathematical Discovery On Understanding Learning And Teaching Problem Solving
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Author : George Pólya
language : en
Publisher:
Release Date : 2009
Mathematical Discovery On Understanding Learning And Teaching Problem Solving written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
George Polya was a Hungarian mathematician. Born in Budapest on 13 December 1887, his original name was Polya Gyorg. He wrote perhaps the most famous book of mathematics ever written, namely "How to Solve It." However, "How to Solve It" is not strictly speaking a math book. It is a book about how to solve problems of any kind, of which math is just one type of problem. The same techniques could in principle be used to solve any problem one encounters in life (such as how to choose the best wife ). Therefore, Polya wrote the current volume to explain how the techniques set forth in "How to Solve It" can be applied to specific areas such as geometry.
Mathematical Discovery On Understanding Learning And Teaching Problem Solving
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Author : George Pólya
language : en
Publisher:
Release Date : 2009
Mathematical Discovery On Understanding Learning And Teaching Problem Solving written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
"Solving problems," writes Polya, "is a practical art, like swimming, or skiing, or playing the piano: You can learn it only by imitation and practice. This book cannot offer you a magic key that opens all the doors and solves all the problems, but it offers you good examples for imitation and many opportunities for practice: If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems." "In enough cases to allay . . . discouragement over not immediately discovering a solution, Professor Polya masterfully leads the reader down several unproductive paths. At the end of each chapter he provides examples for the render to solve. By means of these carefully selected and arranged problems, many of them directly related to others that precede, and guided by just the right suggestions at just the proper time, the reader's own ability is developed and extended. Solutions to the examples and, in many cases, outlines of procedures for discovering solutions. arc given at the back of the book. With striking promise for effectiveness, the entire book as a unit is one great experience in learning processes for problem solving through participation. The author has captured with great success the implication of his basic premise stated in the preface ..." The Mathematics Teacher
The Stanford Mathematics Problem Book
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Author : George Pólya
language : en
Publisher: Courier Corporation
Release Date : 1974-01-01
The Stanford Mathematics Problem Book written by George Pólya and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
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.
Mathematics And Plausible Reasoning Two Volumes In One
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Author : George Polya
language : en
Publisher:
Release Date : 2014-01
Mathematics And Plausible Reasoning Two Volumes In One written by George Polya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01 with Mathematics categories.
2014 Reprint of 1954 American Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This two volume classic comprises two titles: "Patterns of Plausible Inference" and "Induction and Analogy in Mathematics." This is a guide to the practical art of plausible reasoning, particularly in mathematics, but also in every field of human activity. Using mathematics as the example par excellence, Polya shows how even the most rigorous deductive discipline is heavily dependent on techniques of guessing, inductive reasoning, and reasoning by analogy. In solving a problem, the answer must be guessed at before a proof can be given, and guesses are usually made from a knowledge of facts, experience, and hunches. The truly creative mathematician must be a good guesser first and a good prover afterward; many important theorems have been guessed but no proved until much later. In the same way, solutions to problems can be guessed, and a god guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser."-From the Dust Jacket.
Mathematical Discovery
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Author :
language : en
Publisher:
Release Date : 1962
Mathematical Discovery written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Mathematics categories.
Mathematical Discovery
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Author : George Pólya
language : en
Publisher:
Release Date : 1962
Mathematical Discovery written by George Pólya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.
Mathematical Problem Solving
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Author : ALAN H. SCHOENFELD
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Mathematical Problem Solving written by ALAN H. SCHOENFELD and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
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.
How To Solve It
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Author : George Polya
language : en
Publisher: Princeton University Press
Release Date : 2014-10-27
How To Solve It written by George Polya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-27 with Education categories.
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, 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. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
Mathematical Discovery On Understanding Learning And Teaching Problem Solving Volumes I And Ii
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Author : George Polya
language : en
Publisher: John Wiley & Sons
Release Date : 1981-04-24
Mathematical Discovery On Understanding Learning And Teaching Problem Solving Volumes I And Ii written by George Polya and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-04-24 with Education categories.
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.
Mathematical Thinking And Problem Solving
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2016-05-06
Mathematical Thinking And Problem Solving written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Education categories.
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.