Mathematical Discovery On Understanding Learning And Teaching Problem Solving


Mathematical Discovery On Understanding Learning And Teaching Problem Solving
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Mathematical Discovery On Understanding Learning And Teaching Problem Solving


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



Mathematical Discovery On Understanding Learning And Teaching Problem Solving


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


Mathematical Discovery
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Author : George Pólya
language : en
Publisher: John Wiley & Sons
Release Date : 1968

Mathematical Discovery written by George Pólya 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 1968 with Mathematics categories.




Mathematical Discovery On Understanding Learning And Teaching Problem Solving Volumes I And Ii


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 Mathematics 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 Discovery


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 Discovery


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.




Teaching And Learning


Teaching And Learning
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Author : Frances R. Curcio
language : en
Publisher:
Release Date : 1987

Teaching And Learning written by Frances R. Curcio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.




Mathematical Discovery


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


Mathematical Problem Solving
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2009

Mathematical Problem Solving written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.


This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book, illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies. The thirteen chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.



Discovering Mathematics


Discovering Mathematics
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Author : Jiří Gregor
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-21

Discovering Mathematics written by Jiří Gregor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-21 with Mathematics categories.


The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places. Problems are open to alternative formulations, generalizations, simplifications, and verification of hypotheses by the reader; this is shown to be helpful in solving problems. The book presents how advanced mathematical software can aid all stages of mathematical reasoning while the mathematical content remains in foreground. The authors show how software can contribute to deeper understanding and to enlarging the scope of teaching for students and teachers of mathematics.