2021 Albert Leon Whiteman Memorial Prize
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Mathematics Is a Gentleman's Art: Analysis and Synthesis in American College Geometry Teaching, 1790-1840 Amy K
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 2000 Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 Amy K. Ackerberg-Hastings Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Higher Education and Teaching Commons, History of Science, Technology, and Medicine Commons, and the Science and Mathematics Education Commons Recommended Citation Ackerberg-Hastings, Amy K., "Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 " (2000). Retrospective Theses and Dissertations. 12669. https://lib.dr.iastate.edu/rtd/12669 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margwis, and improper alignment can adversely affect reproduction. in the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. -
Prizes and Awards
MathFest 2010 Prizes and Awards Pittsburgh, Pennsylvania August 6, 2010 Program Opening and Closing Remarks David Bressoud, President Mathematical Association of America Carl B. Allendoerfer Awards ..................................... 1 Trevor Evans Awards ............................................... 7 Lester R. Ford Awards ............................................ 12 George Pólya Awards ............................................. 25 Annie and John Selden Prize ................................. 29 Henry L. Alder Awards ........................................... 31 Carl B. Allendoerfer Awards The Carl B. Allendoerfer Awards, established in 1976, are made to authors of expository articles published in Mathematics Magazine. The Awards are named for Carl B. Allendoerfer, a distinguished mathematician at the University of Washington and President of the Mathematical Association of America, 1959-60. Ezra Brown and Keith Mellinger “Kirkman‟s Schoolgirls Wearing Hats and Walking Through Fields of Numbers,” Mathematics Magazine, 82:1 (2009), p. 3-15. The historical basis for this interesting article is a problem in recreational mathematics posed by T. P. Kirkman in 1850. Kirkman‘s problem states: ―Fifteen young ladies of a school walk out three abreast for seven days in succession: it is required to arrange them daily so that no two shall walk abreast more than once.‖ Using this problem as a springboard, the authors treat the reader to a captivating exploration of the theory and applications of block designs. In the process, solutions to the schoolgirls problem are uncovered in such seemingly unrelated areas as the subfield structure of algebraic number fields and the configuration of ―spreads‖ and ―packings‖ in finite projective geometry. Additional connections to the schoolgirls problem are revealed by the authors‘ extension of Todd Ebert‘s ―Three Hats‖ problem to an analogous problem involving fifteen hats. -
Prize Is Awarded Every Three Years at the Joint Mathematics Meetings
AMERICAN MATHEMATICAL SOCIETY LEVI L. CONANT PRIZE This prize was established in 2000 in honor of Levi L. Conant to recognize the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding fi ve years. Levi L. Conant (1857–1916) was a math- ematician who taught at Dakota School of Mines for three years and at Worcester Polytechnic Institute for twenty-fi ve years. His will included a bequest to the AMS effective upon his wife’s death, which occurred sixty years after his own demise. Citation Persi Diaconis The Levi L. Conant Prize for 2012 is awarded to Persi Diaconis for his article, “The Markov chain Monte Carlo revolution” (Bulletin Amer. Math. Soc. 46 (2009), no. 2, 179–205). This wonderful article is a lively and engaging overview of modern methods in probability and statistics, and their applications. It opens with a fascinating real- life example: a prison psychologist turns up at Stanford University with encoded messages written by prisoners, and Marc Coram uses the Metropolis algorithm to decrypt them. From there, the article gets even more compelling! After a highly accessible description of Markov chains from fi rst principles, Diaconis colorfully illustrates many of the applications and venues of these ideas. Along the way, he points to some very interesting mathematics and some fascinating open questions, especially about the running time in concrete situ- ations of the Metropolis algorithm, which is a specifi c Monte Carlo method for constructing Markov chains. The article also highlights the use of spectral methods to deduce estimates for the length of the chain needed to achieve mixing. -
The First One Hundred Years
The Maryland‐District of Columbia‐Virginia Section of the Mathematical Association of America: The First One Hundred Years Caren Diefenderfer Betty Mayfield Jon Scott November 2016 v. 1.3 The Beginnings Jon Scott, Montgomery College The Maryland‐District of Columbia‐Virginia Section of the Mathematical Association of America (MAA) was established, just one year after the MAA itself, on December 29, 1916 at the Second Annual Meeting of the Association held at Columbia University in New York City. In the minutes of the Council Meeting, we find the following: A section of the Association was established for Maryland and the District of Columbia, with the possible inclusion of Virginia. Professor Abraham Cohen, of Johns Hopkins University, is the secretary. We also find, in “Notes on the Annual Meeting of the Association” published in the February, 1917 Monthly, The Maryland Section has just been organized and was admitted by the council at the New York meeting. Hearty cooperation and much enthusiasm were reported in connection with this section. The phrase “with the possible inclusion of Virginia” is curious, as members from all three jurisdictions were present at the New York meeting: seven from Maryland, one from DC, and three from Virginia. However, the report, “Organization of the Maryland‐Virginia‐District of Columbia Section of the Association” (note the order!) begins As a result of preliminary correspondence, a group of Maryland mathematicians held a meeting in New York at the time of the December meeting of the Association and presented a petition to the Council for authority to organize a section of the Association in Maryland, Virginia, and the District of Columbia. -
Scientific Workplace· • Mathematical Word Processing • LATEX Typesetting Scientific Word· • Computer Algebra
Scientific WorkPlace· • Mathematical Word Processing • LATEX Typesetting Scientific Word· • Computer Algebra (-l +lr,:znt:,-1 + 2r) ,..,_' '"""""Ke~r~UrN- r o~ r PooiliorK 1.931'J1 Po6'lf ·1.:1l26!.1 Pod:iDnZ 3.881()2 UfW'IICI(JI)( -2.801~ ""'"""U!NecteoZ l!l!iS'11 v~ 0.7815399 Animated plots ln spherical coordln1tes > To make an anlm.ted plot In spherical coordinates 1. Type an expression In thr.. variables . 2 WMh the Insertion poilt In the expression, choose Plot 3D The next exampfe shows a sphere that grows ftom radius 1 to .. Plot 3D Animated + Spherical The Gold Standard for Mathematical Publishing Scientific WorkPlace and Scientific Word Version 5.5 make writing, sharing, and doing mathematics easier. You compose and edit your documents directly on the screen, without having to think in a programming language. A click of a button allows you to typeset your documents in LAT£X. You choose to print with or without LATEX typesetting, or publish on the web. Scientific WorkPlace and Scientific Word enable both professionals and support staff to produce stunning books and articles. Also, the integrated computer algebra system in Scientific WorkPlace enables you to solve and plot equations, animate 20 and 30 plots, rotate, move, and fly through 3D plots, create 3D implicit plots, and more. MuPAD' Pro MuPAD Pro is an integrated and open mathematical problem solving environment for symbolic and numeric computing. Visit our website for details. cK.ichan SOFTWARE , I NC. Visit our website for free trial versions of all our products. www.mackichan.com/notices • Email: info@mac kichan.com • Toll free: 877-724-9673 It@\ A I M S \W ELEGRONIC EDITORIAL BOARD http://www.math.psu.edu/era/ Managing Editors: This electronic-only journal publishes research announcements (up to about 10 Keith Burns journal pages) of significant advances in all branches of mathematics. -
History of Mathematics
SIGMAA – History of Mathematics Joint meeting of: British Society for the History of Mathematics Canadian Society for the History and Philosophy of Mathematics History of Mathematics Special Interest Group of the MAA (HOMSIGMAA) Philosophy of Mathematics Special Interest Group of the MAA (POMSIGMAA) Marriott Wardman Park, Washington, D.C. Wednesday, August 5 8:20 MAA Centennial Lecture #1 - Room: Salon 2/3 9:30 Hedrick Lecture #1 - Room: Salon 2/3 Session TCPS#1A: History of Mathematics – Room: Washington 4 Moderator: Amy Ackerberg-Hastings 10:30 Amy Shell-Gellasch, Montgomery College, Maryland Ellipsographs: Drawing Ellipses and the Devices in the Smithsonian Collection 11:00 Peggy Aldrich Kidwell, National Museum of American History, Smithsonian Institution Engaging Minds – Charter Members of the MAA and the Material Culture of American Mathematics 11:30 Florence Fasanelli The History of Mathematics in Washington, D.C. Session TCPS#1B: History of Mathematics – Room: Washington 5 Moderator: Danny Otero 10:30 Cathleen O’Neil Eisenhower, the Binomial Theorem, and the $64,000 Question 11:00 S. Roberts John Horton Conway: Certainly a Piece of History 11:30 E. Donoghue A Pair of Early MAA Presidents = A Pair of Mathematics Historians: Florian Cajori and David Eugene Smith 12:00 Lunch Break Session TCPS#1C: History and Philosophy of Mathematics – Room: Washington 4 Moderator: Jim Tattersall 1:00 Charles Lindsey Doing Arithmetic in Medieval Europe 1:30 Travis D. Williams, University of Rhode Island Imagination and Reading the Third Dimension in Early Modern Geometry 2:00 Christopher Baltus, SUNY Oswego The Arc Rampant in 1673: an Early Episode in the History of Projective Geometry 2:30 Andrew Leahy William Brouncker’s Rectification of the Semi-Cubical Parabola Session TCPS#1D: History and Philosophy of Mathematics – Room: Washington 5 Moderator: Dan Sloughter 1:30 Ann Luppi von Mehren, Arcadia University Inspiration for Elementary Mathematics Descriptions from a “Heritage” Reading (in the sense of Grattan-Guinness) of “On the Nonexistent” by Gorgias 2:00 Thomas Q. -
CSHPM Bulletin, November 2016
BULLETIN November/Novembre 2016 Number/le num´ero 59 WHAT’S INSIDE Articles Announcements ................................................................................................ 3 Interact with MAA Convergence [Janet Beery] .............................................................. 7 Joint AMS/MAA Meetings in Atlanta........................................................................ 9 Quotations in Context [Mike Molinsky] ...................................................................... 13 Grattan-Guinness Archival Research Travel Grants [Karen Parshall] ...................................... 14 Ohio Section 100th Annual Meeting [David Kullman]....................................................... 18 Three Societies in Edmonton [David Orenstein] ............................................................. 19 COMHISMA12 in Marrakech [Gregg de Young] ............................................................. 20 Jim Kiernan (1949–2014) [Walter Meyer]..................................................................... 22 Reports From the President [Dirk Schlimm] ........................................................................... 2 Executive Council Meeting CSHPM/ SCHPM............................................................... 9 2017 Call for Papers............................................................................................ 10 Annual General Meeting HSSFC [Amy Ackerberg-Hastings] ............................................... 15 AGM of CSHPM/SCHPM [Patricia Allaire] ................................................................ -
Hands on History a Resource for Teaching Mathematics © 2007 by the Mathematical Association of America (Incorporated)
Hands On History A Resource for Teaching Mathematics © 2007 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 2007937009 Print edition ISBN 978-0-88385-182-1 Electronic edition ISBN 978-0-88385-976-6 Printed in the United States of America Current Printing (last digit): 10 9 8 7 6 5 4 3 2 1 Hands On History A Resource for Teaching Mathematics Edited by Amy Shell-Gellasch Pacific Lutheran University Published and Distributed by The Mathematical Association of America The MAA Notes Series, started in 1982, addresses a broad range of topics and themes of interest to all who are in- volved with undergraduate mathematics. The volumes in this series are readable, informative, and useful, and help the mathematical community keep up with developments of importance to mathematics. Council on Publications James Daniel, Chair Notes Editorial Board Stephen B Maurer, Editor Paul E. Fishback, Associate Editor Michael C. Axtell Rosalie Dance William E. Fenton Donna L. Flint Michael K. May Judith A. Palagallo Mark Parker Susan F. Pustejovsky Sharon Cutler Ross David J. Sprows Andrius Tamulis MAA Notes 14. Mathematical Writing, by Donald E. Knuth, Tracy Larrabee, and Paul M. Roberts. 16. Using Writing to Teach Mathematics, Andrew Sterrett, Editor. 17. Priming the Calculus Pump: Innovations and Resources, Committee on Calculus Reform and the First Two Years, a subcomit- tee of the Committee on the Undergraduate Program in Mathematics, Thomas W. Tucker, Editor. 18. Models for Undergraduate Research in Mathematics, Lester Senechal, Editor. 19. Visualization in Teaching and Learning Mathematics, Committee on Computers in Mathematics Education, Steve Cunningham and Walter S. -
Beckenbach Book Prize
MATHEMATICAL ASSOCIATION OF AMERICA MATHEMATICAL ASSOCIATION OF AMERICA BECKENBACH BOOK PRIZE HE BECKENBACH BOOK PRIZE, established in 1986, is the successor to the MAA Book Prize established in 1982. It is named for the late Edwin T Beckenbach, a long-time leader in the publications program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The prize is intended to recognize the author(s) of a distinguished, innovative book published by the MAA and to encourage the writing of such books. The award is not given on a regularly scheduled basis. To be considered for the Beckenbach Prize a book must have been published during the five years preceding the award. CITATION Nathan Carter Bentley University Introduction to the Mathematics of Computer Graphics, Mathematical Associa- tion of America (2016) The Oxford logician Charles Dodgson via his famed Alice character rhetorically asked, “Of what use is a book without pictures?” And most of us believe that a picture is worth a thousand words. In the same spirit, Nathan Carter in his Introduction to the Mathematics of Computer Graphics has given us a how-to book for creating stunning, informative, and insightful imagery. In an inviting and readable style, Carter leads us through a cornucopia of mathematical tricks and structure, illustrating them step-by-step with the freeware POV-Ray—an acronym for Persistence of Vision Raytracer. Each section of his book starts with a natural question: Why is this fun? Of course, the answer is a striking image or two—to which a reader’s impulsive response is, How might I do that? Whereupon, Carter proceeds to demonstrate. -
The Beginnings of the R. L. Moore School of Topology
The Beginnings of the R. L. Moore School of Topology Albert C. Lewis Preprint of an article to be published in Historia Mathematica. Originally prepared for a session on mathematical schools at the First Joint International Meeting of the American Mathematical Society and the Unione Matematica Italiana, Pisa, 12–16 June 2002. Abstract The roots of the R. L. Moore school of point set topology were formed around 1900 with Moore’s most direct influences coming from his University of Texas teacher G. B. Halsted and from his graduate school teachers at the University of Chicago, mainly O. Veblen and E. H. Moore. It was recognized as a school by the 1930s as Moore and his students achieved recognition for their work and as this group interacted with the Polish school of topology. In addition to the mathematical subject, the other main factor that helped to identify this group as a school was the distinctive method of teaching Moore used to introduce the subject to students. n 1938 when R. L. Moore was president of the American Mathematical Society, the official fiftieth-anniversary historian, R. C. Archibald, surmised that Moore “may almost be thought Iof as the founder of a ‘school’ in analysis situs” (1938, 241). In their classic 1935 com- pendium Topologie, Alexandroff and Hopf, in describing the study of locally-connected continua, stated that “In den Händen der polnischen (Mazurkiewicz, Sierpinski, Kuratowski, Zarankiewicz u.a.) sowie der amerikanischen Schule von R. L. Moore (Moore, Kline, Ayres, Gehman, Whyburn, Wilder u. a.) hat sich eine umfangreiche Theorie entwickelt” (In the hands of the Pol- ish school (Mazurkiewicz, Sierpinski, Kuratowski, Zarankiewicz, et al.) as well as of the Ameri- can school of R. -
2021 May-June
Newsletter VOLUME 51, NO. 3 • MAY–JUNE 2021 PRESIDENT’S REPORT I wrote my report for the previous newsletter in January after the attack on the US Capitol. This newsletter, I write my report in March after the murder of eight people, including six Asian-American women, in Atlanta. I find myself The purpose of the Association for Women in Mathematics is wondering when I will write a report with no acts of hatred fresh in my mind, but then I remember that acts like these are now common in the US. We react to each • to encourage women and girls to one as a unique horror, too easily forgetting the long string of horrors preceding it. study and to have active careers in the mathematical sciences, and In fact, in the time between the first and final drafts of this report, another shooting • to promote equal opportunity and has taken place, this time in Boulder, CO. Even worse, seven mass shootings have the equal treatment of women and taken place in the past seven days.1 Only two of these have received national girls in the mathematical sciences. attention. Meanwhile, it was only a few months ago in December that someone bombed a block in Nashville. We are no longer discussing that trauma. Many of these events of recent months and years have been fomented by internet communities that foster racism, sexism, and white male supremacy. As the work of Safiya Noble details beautifully, tech giants play a major role in the creation, growth, and support of these communities. -
Long-Term History and Ephemeral Configurations
P. I. C. M. – 2018 Rio de Janeiro, Vol. 1 (487–522) LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS C G Abstract Mathematical concepts and results have often been given a long history, stretch- ing far back in time. Yet recent work in the history of mathematics has tended to focus on local topics, over a short term-scale, and on the study of ephemeral con- figurations of mathematicians, theorems or practices. The first part of the paper explains why this change has taken place: a renewed interest in the connections be- tween mathematics and society, an increased attention to the variety of components and aspects of mathematical work, and a critical outlook on historiography itself. The problems of a long-term history are illustrated and tested using a number of episodes in the nineteenth-century history of Hermitian forms, and finally, some open questions are proposed. “Mathematics is the art of giving the same name to different things,” wrote Henri Poincaré at the very beginning of the twentieth century (Poincaré [1908, p. 31]). The sentence, to be found in a chapter entitled “The future of mathematics” seemed particu- larly relevant around 1900: a structural point of view and a wish to clarify and to firmly found mathematics were then gaining ground and both contributed to shorten chains of argument and gather together under the same word phenomena which had until then been scattered (Corry [2004]). Significantly, Poincaré’s examples included uniform convergence and the concept of group. 1 Long-term histories But the view of mathematics encapsulated by this — that it deals somehow with “sameness” — has also found its way into the history of mathematics.