In Polya S Footsteps

Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 325 pages
File Size : 52,8 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9781470457211

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In Polya's Footsteps by Ross Honsberger Pdf

Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathe matics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined its faculty in 1964 in the Department of Combina torics and Optimization, and has been there ever since. Honsberger has published a number of bestselling books with the Mathematical Association of America, including Episodes in Nineteenth and Twentieth Century Euclidean Geometry, and From Erdos to Kiev. In Polya's Footsteps is his eighth book published in the Dolciani Mathematical Exposition Series. The study of mathematics is often undertaken with an air of such seriousness that it doesn't always seem to be much fun at the time. However, it is quite amazing how many surprising results and brilliant arguments one is in a position to enjoy with just a high school background. This is a book of miscellaneous delights, presented not in an attempt to instruct but as a harvest of rewards that are due good high school students and, of course, those more advancedtheir teachers, and everyone in the university mathematics community. Admittedly, they take a little concentration, but the price is a bargain for such gems. A half dozen essays are sprinkled among some hundred problems, most of which are the easier problems that have appeared on various national and international olympiads. Many subjects are representedcombinatorics, geometry, number theory, algebra, probability. The sections may be read in any order. The book concludes with twentyfive exercises and their detailed solutions. It is hoped that something to delight will be found in every sectiona surprising result, an intriguing approach, a stroke of ingenuityand that the leisurely pace and generous explanations will make them a pleasure to read. The inspiration for many of the problems came from the Olympiad Corner of Crux Mathematicorum, published by the Canadian Mathematical Society.

Author : Liong-shin Hahn
Publisher : 國立臺灣大學出版中心
Page : 645 pages
File Size : 42,6 Mb
Release : 2011-12-01
Category : Mathematics
ISBN : 9789860311686

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Honsberger Revisited by Liong-shin Hahn Pdf

The author's purpose is to share the thrills and excitement of ingenious solutions to intriguing elementary problems that he has had the good fortune to have conceived in the pursuit of his passion over many years. His satisfaction lies in the beauty of these gems, not in the incidental fact that they happen to be his own work. A wonderful solution is a glorious thing, whoever might have thought of it, and the author has worked diligently to make easy reading of the joy and delights of his often hard-won success. In this volume the author collected his treatments of over a hundred problems from the treasure trove of Professor Honsberger. "This is a book for everyone who delights in the richness, beauty, and excitement of the wonderful ideas that abide in the realm of elementary mathematics. I feel it is only fair to caution you that this book can lead to a deeper appreciation and love of mathematics.

Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 252 pages
File Size : 55,9 Mb
Release : 2019-06-25
Category : Education
ISBN : 9781470451691

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Mathematical Delights by Ross Honsberger Pdf

Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.

Author : Steven Shankman
Publisher : Northwestern University Press
Page : 200 pages
File Size : 53,7 Mb
Release : 2017-05-15
Category : Literary Criticism
ISBN : 9780810134935

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Turned Inside Out by Steven Shankman Pdf

In Turned Inside Out: Reading the Russian Novel in Prison, Steven Shankman reflects on his remarkable experience teaching texts by Fyodor Dostoevsky, Vasily Grossman, and Emmanuel Levinas in prison to a mix of university students and inmates. These persecuted writers—Shankman argues that Dostoevsky’s and Levinas’s experiences of incarceration were formative—describe ethical obligation as an experience of being turned inside out by the face-to-face encounter. Shankman relates this experience of being turned inside out to the very significance of the word “God,” to Dostoevsky’s tormented struggles with religious faith, to Vasily Grossman’s understanding of his Jewishness in his great novel Life and Fate, and to the interpersonal encounters the author has witnessed reading these texts with his students in the prison environment. Turned Inside Out will appeal to readers with interests in the classic novels of Russian literature, in prisons and pedagogy, or in Levinas and phenomenology. At a time when the humanities are struggling to justify the centrality of their mission in today’s colleges and universities, Steven Shankman by example makes an undeniably powerful case for the transformative power of reading great texts.

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 281 pages
File Size : 54,6 Mb
Release : 2008-03-20
Category : Education
ISBN : 9781412959704

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Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by Alfred S. Posamentier,Stephen Krulik Pdf

Looks at ten different strategies that can be used to solve mathematical problems as well as real-life problems.

Author : Alfred S Posamentier,Beverly Smith
Publisher : World Scientific
Page : 1042 pages
File Size : 54,7 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9789811211430

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Teaching Secondary School Mathematics: Techniques And Enrichment by Alfred S Posamentier,Beverly Smith Pdf

The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

Author : Alfred S. Posamentier,Daniel Jaye
Publisher : ASCD
Page : 242 pages
File Size : 49,8 Mb
Release : 2007-03-15
Category : Education
ISBN : 9781416605966

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Exemplary Practices for Secondary Math Teachers by Alfred S. Posamentier,Daniel Jaye Pdf

Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Author : Anonim
Publisher : Unknown
Page : 1296 pages
File Size : 55,7 Mb
Release : 2003
Category : Mathematics
ISBN : UOM:39015058562359

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Mathematical Reviews by Anonim Pdf

Author : Patrick Blackburn,Hans van Ditmarsch,Maria Manzano,Fernando Soler-Toscano
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 51,9 Mb
Release : 2011-05-23
Category : Computers
ISBN : 9783642213496

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Tools for Teaching Logic by Patrick Blackburn,Hans van Ditmarsch,Maria Manzano,Fernando Soler-Toscano Pdf

This book constitutes the proceedings of the Third International Congress on Tools for Teaching Logic, TICTTL 2011, held in Salamanca, Spain, in June 2011. The 30 papers presented were carefully reviewed and selected from 62 submissions. The congress focusses on a variety of topics including: logic teaching software, teaching formal methods, logic in the humanities, dissemination of logic courseware and logic textbooks, methods for teaching logic at different levels of instruction, presentation of postgraduate programs in logic, e-learning, logic games, teaching argumentation theory and informal logic, and pedagogy of logic.

Author : Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publisher : Springer Science & Business Media
Page : 819 pages
File Size : 55,6 Mb
Release : 2011-05-05
Category : Mathematics
ISBN : 9781441998545

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The IMO Compendium by Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović Pdf

"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.

Author : Dean Hathout
Publisher : CRC Press
Page : 275 pages
File Size : 40,5 Mb
Release : 2013-05-01
Category : Mathematics
ISBN : 9781466508668

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Wearing Gauss's Jersey by Dean Hathout Pdf

Wearing Gauss's Jersey focuses on "Gauss problems," problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve the

Author : Eric W. Weisstein
Publisher : CRC Press
Page : 3253 pages
File Size : 50,9 Mb
Release : 2002-12-12
Category : Mathematics
ISBN : 9781420035223

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CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Author : Anonim
Publisher : Unknown
Page : 374 pages
File Size : 50,9 Mb
Release : 1963
Category : Motion pictures
ISBN : STANFORD:36105118885958

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Soviet Film by Anonim Pdf

Author : John J. Watkins
Publisher : Princeton University Press
Page : 270 pages
File Size : 44,5 Mb
Release : 2011-09-19
Category : Mathematics
ISBN : 9781400840922

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Across the Board by John J. Watkins Pdf

Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout, the reader can share fully in the excitement of discovery. Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.

Author : Santosh S. Venkatesh
Publisher : Cambridge University Press
Page : 830 pages
File Size : 49,9 Mb
Release : 2013
Category : Mathematics
ISBN : 9781107024472

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The Theory of Probability by Santosh S. Venkatesh Pdf

From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.