Mathematical Fallacies Flaws and Flimflam

This book collects the items from the first eleven years of publishing in the CMJ. One source of such errors is the work of students. Occasionally, a text book will weigh in with a specious result or solution.

Author: Edward Barbeau

Publisher: MAA

ISBN: 0883855291

Category: Mathematics

Page: 167

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Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. However, errors can slip past the most watchful eye, they are often subtle and difficult to detect; but when found they can teach us a lot and can present a real challenge to straighten out. This book collects together a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves. Each of these items is carefully analysed and the source of the error is exposed. All serious students of mathematics will find this book both enlightening and entertaining.
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More Fallacies Flaws Flimflam

... Howard W. Eves Mathematical Circus, by Martin Gardner Mathematical Cranks
, by Underwood Dudley Mathematical Evolutions, edited by Abe Shenitzer and
John Stillwell Mathematical Fallacies, Flaws, and Flimflam, by Edward J. Barbeau
 ...

Author: Edward J. Barbeau

Publisher: MAA

ISBN: 9780883855805

Category: Mathematics

Page: 187

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More Fallacies, Flaws, and Flimflam is the second volume of selections drawn mostly from the College Mathematics Journal column “Fallacies, Flaws, and Flimflam” from 2000 through 2008. The MAA published the first collection, Mathematical Flaws, Fallacies, and Flimflam, in 2000. As in the first volume, More Fallacies, Flaws, and Flimflam contains items ranging from howlers (outlandish procedures that nonetheless lead to a correct answer) to deep or subtle errors often made by strong students. Although some are provided for entertainment, others challenge the reader to determine exactly where things go wrong. Items are sorted by subject matter. Elementary teachers will find chapter 1 of most use, while middle and high schoolteachers will find chapters 1, 2, 3, 7, and 8 applicable to their levels. College instructors can delve for material in every part of the book. There are frequent references to the College Mathematics Journal; these are denoted by CMJ.
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American Mathematics 1890 1913

Mathematical Adventures for Students and Amateurs, edited by David Hayes and
Tatiana Shubin. ... edited by Abe Shenitzer and John Stillwell Mathematical
Fallacies, Flaws, and Flimflam, by Edward J. Barbeau Mathematical Magic Show,
 ...

Author: Steve Batterson

Publisher: The Mathematical Association of America

ISBN: 9780883855904

Category: Mathematics

Page: 244

View: 314

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At the turn of the twentieth century, mathematical scholarship in the United States underwent a stunning transformation. In 1890 no American professor was producing mathematical research worthy of international attention. Graduate students were then advised to pursue their studies abroad. By the start of World War I the standing of American mathematics had radically changed. George David Birkhoff, Leonard Dickson, and others were turning out cutting edge investigations that attracted notice in the intellectual centers of Europe. Harvard, Chicago, and Princeton maintained graduate programs comparable to those overseas. This book explores the people, timing, and factors behind this rapid advance. Through the mid-nineteenth century most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study. The breakthrough for mathematics began in 1890 with the hiring, in consecutive years, of William F. Osgood and Maxime Bôcher at Harvard and E. H. Moore at Chicago. Each of these young men had studied in Germany where they acquired vital mathematical knowledge and taste. Over the next few years Osgood, Bôcher, and Moore established their own research programs and introduced new graduate courses. Working with other like-minded individuals through the nascent American Mathematical Society, the infrastructure of meetings and journals were created. In the early twentieth century Princeton dramatically upgraded its faculty to give the United States the stability of a third mathematics center. The publication by Birkhoff, in 1913, of the solution to a famous conjecture served notice that American mathematics had earned consideration with the European powers of Germany, France, Italy, England, and Russia.
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I Mathematician

Journey into Geometries, by Marta Sved JULIA: a life in mathematics, by
Constance Reid The Lighter Side of ... by Abe Shenitzer and John Stillwell
Mathematical Fallacies, Flaws, and Flimflam, by Edward J. Barbeau
Mathematical Magic Show ...

Author: Peter Casazza

Publisher: The Mathematical Association of America

ISBN: 9780883855850

Category: Mathematics

Page: 320

View: 644

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Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.
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The Australian Mathematics Teacher

Mathematical Fallacies , Flaws and Flimflam Barbeau , E . J . The Mathematical
Association of America , 2000 167 pp . paperback $ US 23 . 95 I initially thought
that this book might be a new version of ' Riddles in Mathematics ' by Northrop ,
or ...

Author:

Publisher:

ISBN: UOM:39015053957307

Category: Mathematics

Page:

View: 761

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Teaching Secondary Mathematics

New York : Macmillan , 1960 . Barbeau , Edward J . Mathematical Fallacies ,
Flaws , and Flimflam . Washington , DC : Mathematical Association of America ,
2000 . Cipra , Barry . Misteaks and How to Find Them Before the Teacher Does .

Author: Alfred S. Posamentier

Publisher: Prentice Hall

ISBN: UVA:X004590778

Category: Education

Page: 495

View: 957

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The revision of this book introduces the 2000 NCTM Principles and Standards and explains their use for teaching secondary school mathematics instruction. Unlike other books, it utilizes 125 enrichment units to provide the staples in preparing to teach mathematics. The authors provide step-by-step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. This valuable book also provides practical teaching methods for immediate use along with answers to typical questions readers have about teaching math. Chapter topics include the mathematics teacher today, long-range and short range planning, teaching more effective lessons, the role of problem solving in the mathematics classroom, using technology to enhance mathematics instruction, authentic assessment and grading strategies, enriching mathematics instruction, and extracurricular activities in mathematics. For mathematics teachers in secondary schools.
530 Download

Is Mathematics Inevitable

The Harmony of the World : 75 Years of Mathematics Magazine , edited by
Gerald L . Alexanderson with the ... Abe Shenitzer and John Stillwell
Mathematical Fallacies , Flaws , and Flimflam , by Edward J . Barbeau
Mathematical Magic Show ...

Author: Underwood Dudley

Publisher: MAA Press

ISBN: STANFORD:36105131792850

Category: Mathematics

Page: 325

View: 950

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A collection of true stories, anecdotes and other gems from the literature of mathematics that shine as brightly today as when they first appeared - they deserve to be seen and admired. Most are non-technical and will be found interesting, amusing or informative by readers with any interest in mathematics.
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Teaching Mathematics in Secondary and Middle School

9 Relatively Minute Sample of Mathematical Trade Books . Barbeau , E . J . (
1997 ) . Power play . Washington : Mathematical Association of America .
Barbeau , E . J . ( 2000 ) . Mathematical fallacies , flaws , and flimflam .
Washington ...

Author: James S. Cangelosi

Publisher: Prentice Hall

ISBN: UVA:X004707359

Category: Education

Page: 436

View: 593

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Interactive in its approach, this book focuses on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM standards. It illustrates how to creatively incorporate the standards into teaching along with inquiry-based instructional strategies. The book illustrates how to lead pupils toward meaningful mathematics and strategies for developing mathematics skills.Includes an abundance of illustrative examples, mini case studies, one expansive case study that follows a mathematics teacher through his first year in the profession, cooperative learning activities, field-based activities, and transitional activities. Reviews applying for faculty positions as a mathematics teacher, teaching math from a historical perspective, communication with math, working with students as individuals, working with ESL/EFL and integrating math with other content areas. Includes updated information with respect to the research literature, the publication of PSSM, and advances in technology.For educators teaching mathematics in secondary and middle school.
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Mathematical Reminiscences

The Lighter Side of Mathematics : Proceedings of the Eugène Strens Memorial
Conference on Recreational ... Circus , by Martin Gardner Mathematical Cranks ,
by Underwood Dudley Mathematical Fallacies , Flaws , and Flimflam , by Edward
 ...

Author: Howard Whitley Eves

Publisher: Mathematical Assn of Amer

ISBN: UOM:39015058709596

Category: Mathematics

Page: 186

View: 378

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Howard Eves has enjoyed a long, distinguished career as a teacher, geometer, writer, editor and historian of mathematics. A renowned teacher and scholar, Eves spent most of his career at the University of Maine at Orono, and more recently at Central Florida University. For twenty-five years he edited the Elementary Problems Section of the American Mathematical Monthly. Long known as a mathematical storyteller, Howard Eves here writes his personal reminiscencesmostly mathematical, some not. The cast of characters includes Albert Einstein, Norbert Wiener, Julian Lowell Coolidge, Maurice Frchet, Nathan Altschiller-Court, G.H. Hardy, and many other interesting figures whom he encountered in a long and active life in mathematics. In Mathematical Reminiscences we read of Eves' famous mathematical museum, with its lock of Einstein's hair, Hardy's scarf, Veblen's bright yellow lead pencil, Wiener's hat, and much, much more.
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Mathematical Reviews

2001h : 00025 Obituary : Hempel , Carl Gustav see Wolters , Gereon , 20013 :
01055 Philosophy of mathematics today ... M . F . see Alberti , N . et al . , ( 20013 :
00033 ) Barbeau , Edward J . * Mathematical fallacies , flaws , and flimflam .

Author:

Publisher:

ISBN: UVA:X006170285

Category: Mathematics

Page:

View: 565

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489 Download

Canadian Who s Who 2008

Edn .; author Polynomials 1989 , After Math 1995 , Power Play 1997 ,
Mathematical Fallacies , Flaws , and Flimflam 1999 , Pell's Equation 2003 ; co -
author ( with M.S. Klamkin & W.O. Moser ) 500 Challenging Problems 1995 ;
recreation ...

Author: Elizabeth Lumley

Publisher:

ISBN: 0802040713

Category: Biography & Autobiography

Page: 1450

View: 709

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"Now in its ninety-eighth year of publication, this standard Canadian reference source contains the most comprehensive and authoritative biographical information on notable living Canadians. Those listed are carefully selected because of the positions they hold in Canadian society, or because of the contribution they have made to life in Canada.The volume is updated annually to ensure accuracy, and 600 new entries are added each year to keep current with developing trends and issues in Canadian society. Included are outstanding Canadians from all walks of life: politics, media, academia, business, sports and the arts, from every area of human activity. Each entry details birth date and place, education, family, career history, memberships, creative works, honours and awards, and full addresses. Indispensable to researchers, students, media, business, government and schools, Canadian Who's Who is an invaluable source of general knowledge. The complete text of Canadian Who's Who is also available on CD-ROM, in a comprehensively indexed and fully searchable format. Search 'astronaut' or 'entrepreneur of the year,' 'aboriginal achievement award' and 'Order of Canada' and discover a wealth of information. Fast, easy and more accessible than ever, the Canadian Who's Who on CD-ROM is an essential addition to your electronic library. Network Licensing available. ISBN 978-0-8020-4064-0 For pricing information, please contact CEDROM-Sni 1-888-544-0339 ext. 3 [email protected] 8% applicable to Ontario residents on all of the aboveCD-ROM requirements: WINDOWS: 95/98/2000/NT/XP - 386/25Mhz - 4mb RAM (8mb recommended) MAC: OS 7, 8, and 9 - 4mb RAM (8mb recommended)"
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Discrete Mathematics

The “Fallacies, Flaws, and Flimflam” section of The College Mathematics Journal,
published by the Mathematical Association of America, contains examples of
mathematical mistakes, fallacious proofs, and faulty reasoning. 3.1 3.2 3.3 ...

Author: Richard Johnsonbaugh

Publisher: Prentice Hall

ISBN: 9780131593183

Category: Mathematics

Page: 766

View: 750

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Focused on helping readers understand and construct proofs – and, generally, expanding their mathematical maturity – this best-seller is an accessible introduction to discrete mathematics. Takes an algorithmic approach that emphasizes problem-solving techniques. Expands discussion on how to construct proofs and treatment of problem solving. Increases number of examples and exercises throughout.
792 Download

Discover

Edward J . Barbeau , professor emeritus of mathematics at the University of
Toronto , exposed the following miscalculations in his book Mathematical
Fallacies , Flaws and Flimflam ( Mathematical Association of America , 2000 ) .
Can you spot ...

Author:

Publisher:

ISBN: UOM:39015047969921

Category: Science

Page:

View: 607

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765 Download

Humanistic Mathematics Network Journal

Note : A good source of fallacious mathematics is the “ Fallacies , Flaws and
Flimflam ” section of The College Mathematics Journal published five times a
year by the MAA . to mere abstractions of the real world . We will 18 HMN Journal
# 8.

Author:

Publisher:

ISBN: UOM:39015081527312

Category: Mathematics

Page:

View: 673

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881 Download

Crux Mathematicorum with Mathematical Mayhem

Selections from “ Fallacies , Flaws , and Flimflam ” ( College Math . Journal and /
or Ed Barbeau ' s MAA book by the same name ) wind up the chapter : One such
example is an adaptation of a 1996 Crux Mathematicorum problem .

Author:

Publisher:

ISBN: UOM:39015072615977

Category: Mathematics

Page:

View: 593

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Choice

This is a book in a series published by the Mathematical Association of America ,
directed toward a broad range of ... of Scranton Mathematics 37 - 5141 99 -
67971 Orig Barbeau , Edward J . Mathematical fallacies , flaws , and flimflam .

Author:

Publisher:

ISBN: UOM:39015079402320

Category: Academic libraries

Page:

View: 455

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478 Download