DOCSLIB.ORG

R------ED 319 606 SE 051 416

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
R------ED 319 606 SE 051 416 DOCUMENT RESUME ,_:.. r-------ED 319 606 SE 051 416 AUTHOR Pereira-Mendoza, Lionel, Ed.; Quigley, Martyn, Ed. TITLE Canadilo Mathematics Education Study Group = Groupe Canadien d'etude en didactique des matematiques. Proceedings of the Annual Meeting (St. Catharines, Ontario, Canada, May 27-31, 1989). INSTITUTION Canadian Mathematics Education Study Group. PUB DATE 90 NOTE 149p.; For 1988 Proceedings see ED 305 235; for IAEP study, see ED 306 259. PUB TYPE Collected Works - Conference Proceedings (021) -- Reports - Research/Technical (143) EDRS PRICE MF01/PC06 Plus Postage. DESCRIPTORS Calculus; College Mathematics; *Computer Assisted Instruction; Computer Uses in Education; *Elementary School Mathematics; Elementary Secondary Education; Foreign Countries; Qeometry; *Mathematical Concepts; Mathematical Linguistics; Mathematics Curriculum; *Mathematics Education; *Mathematics Tests; *Proof (Mathematics); Secondary School Mathematics IDENTIFIERS *Canada; Constructivism ABSTRACT These conference proceedings include two invited lectures, four working group reports, five topic group reports, a list of participants, and a list )f previous proceedings. The invited lectures were: "Teaching Mathematical Proof: Relevance and Coioplexity of a Social Approach" (Nicolas Balacheff) and "Geometry Is Alive and Well:" (Doris Schattschneider). The topics of the working group reports were: (1) using LOGO-based software (Benoit Cote, Sandy Dawson); (2) using the Computer Algebra Systems (EricMuller, Stan Devitt); (3) aspects of communication and other functions oflanguage used in mathmematics (David Pim); and (4; using research methods of mathematical conceptions based on constructivism (Rafaella Borasi, Claude Janvier). The topic groups dealt with: computer uses in the elementary classroom (W. George Cathcart); constructions of fundamental mathematical cornepts and the kindergartner's construction of natural numbers (Jacques Bergeron, Nicolas Herscovics); multicultural influences (Linda Davenport); meaning of grades assigned by teachers (Rose Traub et al.); and a discussion (not presented in this document) of the results of the 1988 International Assessment of Educational Progress Study (Dennis Raphael). Appended are lists of proceedings participants and of previous proceedings available through ERIC. (YP) *********************************************************************** * Reproductions supplied by EDRS are the best that can be made * * from the original document. * **************** ***** ******************************************* ***** ** U. ORFAITIMINT OF SOUCATION Office of Educator* Reassech end improvement "PERMISSION TO REPRODUCE THIS EDllC RCES INFORMATION MATERIAL HAS BEEN GRANTED BY cENYEA (ENO document has been reproduced as Lionel Pereira -Mendosa received from the person or attenuation orientating it 0 minor changes have been roads to improve ClIC reproduction oulditv Points of view Of opinions stated in the duct, CD mod do not neateserily represent official TO THE EDUCATIONAL RESOURCES OW positionof PolICY INFORMATION CENTER (ERIC)." CD cm CANADIAN MATHEMATICS EDUCATION STUDY GROUP FA GROUPE CANADIAN D'ETUDE EN DIDACTIQUE DES MATHEMATIQUES PROCEEDINGS 1989 ANNUAL MEETING BROCK UNIVERSITY ST. CATHARINES, ONTARIO May 27-31, 1989 Edited by Lionel Pereira-Mendoza Martyn Quigley Memorial University of Newfoundland V) O BEST COPY AVAILABLE a. ( 2 CANADIAN MATHEMATICS EDUCATIONSTUDY GROUP GROUPE CANADIAN D'ETUDE ENDIDACTIQUE DES MATHEMATIQUES PROCEEDINGS 1989 ANNUAL MEETING BROCK UNIVERSITY ST. CATHARINES, ONTARIO May 27-31, 1989 Edited by Lion& Pereira-Mendoza Martyn Quigley Memorial University of Newfoundland 003-015 04/90/95 CMESG/GCEDM Annual Meeting Brock University St. Catharines May 27-31, .1989 Table of Contents Forward vii Acknowledgements ix Invited Lectures A. Teaching Mathematical Proof: 11 Relevance and Complexity of a Social Approach Nicolas Ba lathe (1RPEACS-C1VRS) B. Geometry is Alive and Well! 29 Doris Schatadmeider (Moravian College) Working Groups A. Using Computers for Investigative Work withElementary Teachers 43 Benoit COM (Universite du QuebecaMontreal) Sandy Dawson (Simon Fraser University) B. Computers in the Undergraduate Mathematics Curriculum 51 Edgar Winans (Memorial University of Newfoundland) C. Natural Language and Mathematical Language 61 David Palm (The Open University) D. Research Strategies for Pupils' Conceptions inMathematics 71 Robe& Borosi (University of Rochester) Claude !envier (CIRADE -UQAM) iv 4 Topic Groups A. Implementation of an Apple- Centre for Innovation and Year1 results....87 W. George Cathcart (University of Alberta) B. A Model to Describe the Construction of MathematicalConcepts from an Epistemological Perspective 99 Jacques Bergeron (Universite de Montreal) Mcolas Herscovics (Concordia University) The Kindergartner's Construction of Natural Numbers: An International Study 115 Mcolas Herscovics (Concordia University) Jacques Bergerac (Universite de Montreal) C. Multicultural Influences in Mathematics Education 135 Linda Ruiz Davenport (Portland State University) D. Teacher Assessment Practices in Nigh School Calculus 143 Ross E. 7'ratrb, Philip Nagy, Katherine Madbuy & Roslyn Dinners (The Ontario Institute for Studies in Education) E. The Ontario IAEP Results 161 Dennis Raphael (Ontario Ministry of Education) List of Participants 165 Previous Proceedings available through ERIC 173 V EDITORS' FORWARD We would like to thank all the contributors forsubmitting their manuscripts for inclusion in these proceedings. Without theirco-operation it would not have been possible to produce the proceedingsso quickly. Special thanks go from all ofus who attended the conference to the organizers, and particularly to Eric Muller, who workedtirelessly before and during the meeting toensure smooth sailing. I hope these proceedings will helpgenerate continued discussion on the many major issues raised during the conference. Lionel Pereira-Mendoza Martyn Quigley April 10, 1990 vii ACKNOWLEDGEMENTS The Canadian Mathematics Study Group wishes to acknowledgethe continued assistance of the Social Scienc-s and Humanities Research Council fortheir support. Without this support the 1989 meeting and proceedings would not have been possible. We would also like to thank Brock University for hosting themeeting and providing excellent facilities to conduct the meeting. Finally, we would like to thank the contributors and participants,who helped make the meeting a valuable educational experience. ix 7 Lecture One Teaching Mathematical Proof Relevance and Complexity ofa Soc:al Approach N. Balacheff IRPEACS-CNRS 8 13 Introduction What a mathematical proof consists ofseems clear to all mathematics teachers and mathematics educators. That is: "A carefulsequence of steps with each step following logically from an assumed or previously provedstatement and from previous steps" (NZTM, 1989, p.144). This description is almost thesame all over the world, and it is very close to what a logician would formulate, perhapsmore formally. Comments made on mathematical proof as a content to be taught emphasizetwo points: first they stress that it has nothing to do with empiricalor experimental verification, second they call attention to the move from concrete to abstract. Here isan example of such comments: "It is a completely new way of thinking for high school students.Their previous experience both in and out of school has taught them toaccept informal and empirical arguments as sufficient. Students should come to understand that although sucharguments are useful, they do not constitute a proof." (NCTM, 1989, p.145). We can say that the definition of mathematical proof,as an outcome of these official texts is mathematically acceptable, but there isa long way from this definition to the image built in practice along the teaching interaction.More or less, teaching mathematical proof is understood as teaching how to formulatedeductive reasoning: "Pour les professeurs, une demonstration, c'est tresnettement l'expose formel deductif d'un raisonnement logique" (Braconne, 1987, p.187). The construction of this reasoning, and its possiblerelationships with other kind of reasoning, is hidden by that over emphasison its "clear" formulation. That conception is so strong that some teachers cancome to an evaluation of a mathematical proof just considering the surface level of the discourse.For example, in her requirement for teachers comments on a sample of students formulations,Braconne reports' that: "Les professeurs ont Magi aux longueur inutiles du texts de Bertrand,au desordre dans la solution de Karina, au fait que le texts d'Elodiene suive pas le raisonnement deductif, etc. Toutefois, sect Fawners n'ont pas remsrque que, dans Is texts deBertrand, c'est la reciproque du theoreme neeessaire I la demonstrationqui &sit cit6 an premier paragraphe, et huit n'ont pas signals quo le texts de Laurentcontenait la memo erreur [...] Done pour l'eleve, et pour nous, les notesne refibteat pas le fait que le professeur se soit appergu de l'erreur ou non." (Braconne, 1987, p.99) A report on proof frames of elementary preserviceteachers shows a similar behaviour: "Many students who correctly accept a general-proof verificationdid not reject a false proof verification; they were influenced by theappearance of tea argument - the ritualistic aspects of the proof - rather than the correctness of theargument.(...] Such students 14 appear to rely on a syntactic-level deductive frame in which a verificationof a statement is evaluated according to
Load more

Recommended publications
  • 1992 CUPM Report 1992
    Tomorrow’s Geometry Joseph Malkevitch YORKCOLLEGE (CUNY) Introduction In A Century of Mathematics in America (Part II), Robert Osserman contributed an article entitled “The Geometry Renaissance in America: 1938-1988.” The renaissance in geometry that he recounts has not been restricted only to America and did not end in 1988. Nor, as Osserman notes in a “postscript” to the article, has this renaissance been confined only to the area of differential geometry, which is what his article deals with. There are many reasons for the renaissance in geometry, ranging from new developments in physics and biology, to the development of the digital computer, to the flowering of old and new fields within mathematics that stimulate geometric insights. Yet in terms of the way geometry is represented in the undergraduate curriculum, there has been no renaissance. On the contrary, there has been relatively little changein the nature of the geometric mathematics taught in colleges. This unchanging curriculum for geometry in college has in turn prevented any new geometry or applications stemming from geometry from being presented in high school (or earlier grades). Students planning to become high school or middle-school teachers usually see only that geometry covered in a survey course on Euclidean and non-Euclidean geometry. The content of such courses rarely discusses geometry that reaches into the period of which Osserman speaks. However, because of its unique intuitive and quick-starting nature, geometry that has been discovered in the last 30 years can be taught to undergraduates. In light of these contrasting phenomena-explosive growth in geometric met hods and applications of geometry but an unchanging undergraduate geometry curriculum-t he MAA Curriculum Action Project convened an E-mail Focus Group to debate geometry education.
    [Show full text]
  • Articles, Etc
    ARTICLES, ETC. Articles "A summation formula and an identity for a class of Dirichlet series", Acta Arithmetica, Vol. XI, No. 4; 1966, 443-449. "Point groups and color symmetry", Zeitschrift fur Kristallographie, 142, 1975, 1- 23. "The mechanism of formation of certain growth twins of the penetration type", Neues Jarbuch fur Mineralogie, 11, 1976, 518-524. "A prophet without honor, Dorothy Wrinch 1894-1976", Smith Alumnae Quarterly, April 1977, 18-23. "Number, the ruler of all things", Smith Alumnae Quarterly, February, 1978, 12- 18. "Themes and variations", Criss-Cross Art Communications, 7,8,9; 1979, 40-45. "Color groups", Discrete Applied Mathematics, 1, 1979, 51-73. "Recent advances and unsolved problems in symmetry theory", in Uzori Symmetrii. In Russian. (with R.V. Galiulin) "The genesis of growth twins in crystals", Kristallografia, 25 (5), 1980, 908-915, in Russian. English translation in Soviet Physics - Crystallography, 25 (5), September-October 1980, 520-524. "A simple characterization of the subgroups of space groups", Acta Crystallographica, A36, 1980, 845-850. "Which tetrahedra fill space?", Mathematics Magazine, 54 (5), November 1981, 227-243. "Coloring symmetrical objects symmetrically", Mathematics Magazine, 56 (1), January 1983, 3-16. "Color symmetry and colored polyhedra", Acta Crystallographica, A39, 1983, 505-511. "On colored lattices and lattice preservation", Acta Crystallographica, A39, 1983. (with M.Rolley-LeCoz and Y. Billiet) "An introduction to the theory of figures: the geometry of E.S. Fedorov", Structural Topology, 10, 1984, 5-22. (with R.V. Galiulin) "Space groups and their isotropy subgroups, Journal of Mathematical Physics, 25 (1984) 3148-3154. (with M.V. Jaric) "Morphisms of crystallographic groups: kernels and images", Journal of Mathematical Physics, 26 (1985) 219-228.
    [Show full text]
  • Martin Gardner Papers SC0647
    http://oac.cdlib.org/findaid/ark:/13030/kt6s20356s No online items Guide to the Martin Gardner Papers SC0647 Daniel Hartwig & Jenny Johnson Department of Special Collections and University Archives October 2008 Green Library 557 Escondido Mall Stanford 94305-6064 [email protected] URL: http://library.stanford.edu/spc Note This encoded finding aid is compliant with Stanford EAD Best Practice Guidelines, Version 1.0. Guide to the Martin Gardner SC064712473 1 Papers SC0647 Language of Material: English Contributing Institution: Department of Special Collections and University Archives Title: Martin Gardner papers Creator: Gardner, Martin Identifier/Call Number: SC0647 Identifier/Call Number: 12473 Physical Description: 63.5 Linear Feet Date (inclusive): 1957-1997 Abstract: These papers pertain to his interest in mathematics and consist of files relating to his SCIENTIFIC AMERICAN mathematical games column (1957-1986) and subject files on recreational mathematics. Papers include correspondence, notes, clippings, and articles, with some examples of puzzle toys. Correspondents include Dmitri A. Borgmann, John H. Conway, H. S. M Coxeter, Persi Diaconis, Solomon W Golomb, Richard K.Guy, David A. Klarner, Donald Ervin Knuth, Harry Lindgren, Doris Schattschneider, Jerry Slocum, Charles W.Trigg, Stanislaw M. Ulam, and Samuel Yates. Immediate Source of Acquisition note Gift of Martin Gardner, 2002. Information about Access This collection is open for research. Ownership & Copyright All requests to reproduce, publish, quote from, or otherwise use collection materials must be submitted in writing to the Head of Special Collections and University Archives, Stanford University Libraries, Stanford, California 94304-6064. Consent is given on behalf of Special Collections as the owner of the physical items and is not intended to include or imply permission from the copyright owner.
    [Show full text]
  • Time Travel and Other Mathematical Bewilderments Time Travel
    TIME TRAVEL AND OTHER MATHEMATICAL BEWILDERMENTS TIME TRAVEL AND OTHER MATHEMATICAL BEWILDERMENTS MARTIN GARDNER me W. H. FREEMAN AND COMPANY NEW YORK Library of'Congress Cataloguing-in-Publication Data Gardner, Martin, 1914- Time travel and other mathematical bewilderments. 1nclud~:s index. 1. Mathematical recreations. I. Title. QA95.G325 1987 793.7'4 87-11849 ISBN 0-7167-1924-X ISBN 0-7167-1925-8 @bk.) Copyright la1988 by W. H. Freeman and Company No part of this book may be reproduced by any mechanical, photographic, or electronic process, or in the form of a photographic recording, nor may it be stored in a retrieval system, transmitted, or otherwise copied for public or private use, without written permission from the publisher. Printed in the United States of America 34567890 VB 654321089 To David A. Klarner for his many splendid contributions to recreational mathematics, for his friendship over the years, and in !gratitude for many other things. CONTENTS CHAPTER ONE Time Travel 1 CHAPTER TWO Hexes. and Stars 15 CHAPTER THREE Tangrams, Part 1 27 CHAPTER FOUR Tangrams, Part 2 39 CHAPTER FIVE Nontransitive Paradoxes 55 CHAPTER SIX Combinatorial Card Problems 71 CHAPTER SEVEN Melody-Making Machines 85 CHAPTER EIGHT Anamorphic. Art 97 CHAPTER NINE The Rubber Rope and Other Problems 11 1 viii CONTENTS CHAPTER TEN Six Sensational Discoveries 125 CHAPTER ELEVEN The Csaszar Polyhedron 139 CHAPTER TWELVE Dodgem and Other Simple Games 153 CHAPTER THIRTEEN Tiling with Convex Polygons 163 CHAPTER FOURTEEN Tiling with Polyominoes, Polyiamonds, and Polyhexes 177 CHAPTER FIFTEEN Curious Maps 189 CHAPTER SIXTEEN The Sixth Symbol and Other Problems 205 CHAPTER SEVENTEEN Magic Squares and Cubes 213 CHAPTER EIGHTEEN Block Packing 227 CHAPTER NINETEEN Induction and ~robabilit~ 24 1 CONTENTS ix CHAPTER TWENTY Catalan Numbers 253 CHAPTER TWENTY-ONE Fun with a Pocket Calculator 267 CHAPTER TWENTY-TWO Tree-Plant Problems 22 7 INDEX OF NAMES 291 Herewith the twelfth collection of my columns from Scientijic American.
    [Show full text]
  • Pi Mu Epsilon MAA Student Chapters
    Pi Mu Epsilon Pi Mu Epsilon is a national mathematics honor society with 391 chapters throughout the nation. Established in 1914, Pi Mu Epsilon is a non-secret organization whose purpose is the promotion of scholarly activity in mathematics among students in academic institutions. It seeks to do this by electing members on an honorary basis according to their proficiency in mathematics and by engaging in activities designed to provide for the mathematical and scholarly development of its members. Pi Mu Epsilon regularly engages students in scholarly activity through its Journal which has published student and faculty articles since 1949. Pi Mu Epsilon encourages scholarly activity in its chapters with grants to support mathematics contests and regional meetings established by the chapters and through its Lectureship program that funds Councillors to visit chapters. Since 1952, Pi Mu Epsilon has been holding its annual National Meeting with sessions for student papers in conjunction with the summer meetings of the Mathematical Association of America (MAA). MAA Student Chapters The MAA Student Chapters program was launched in January 1989 to encourage students to con- tinue study in the mathematical sciences, provide opportunities to meet with other students in- terested in mathematics at national meetings, and provide career information in the mathematical sciences. The primary criterion for membership in an MAA Student Chapter is “interest in the mathematical sciences.” Currently there are approximately 550 Student Chapters on college and university campuses nationwide. Schedule of Student Activities Unless otherwise noted, all events are held at the Hyatt Regency Columbus. Wednesday, August 3 Time: Event: Location: 2:00 pm – 4:30 pm CUSAC Meeting .
    [Show full text]
  • Development of Course Materials to Integrate Precalculus Review with the First Course in Calculus
    DOCUMENT RESUME ED 417 938 SE 061 190 AUTHOR Schattschneider, Doris TITLE Development of Course Materials To Integrate Precalculus Review with the First Course in Calculus. INSTITUTION Moravian Coll., Bethlehem, PA. SPONS AGENCY Fund for the Improvement of Postsecondary Education (ED), Washington, DC. PUB DATE 1996-00-00 NOTE 94p. CONTRACT P116B12036 PUB TYPE Reports - Descriptive (141) EDRS PRICE MF01/PC04 Plus Postage. DESCRIPTORS Calculus; Course Descriptions; *Curriculum Enrichment; Higher Education; *Instructional Materials; Mathematics Education; *Remedial Instruction; *Textbook Preparation IDENTIFIERS *Precalculus ABSTRACT This document describes a two-year project designed to prepare, desk-top publish, and class-test supplemental materials geared specifically toward a slower-paced, one-year Calculus I course that integrates the review of precalculus topics as they are needed. This course replaces the traditional two-semester Precalculus-Calculus I sequence for underprepared students. This report includes an executive summary involving project overview, statement of purpose, background and origins, project description, evaluation/project results and conclusions. A 1992 draft of the text: "A Companion To Calculus"; an evaluation report of the two-year project; announcements and program materials from the dissemination conference, and two papers related to this project are contained in appendices. (ASK) ******************************************************************************** * Reproductions supplied by EDRS are the best that
    [Show full text]
  • MAA Mathfest 2014 Program
    Teacher’s Pet WebAssign makes the highest grade every time. Whiz Kid? Teacher’s Pet? Whatever you call us, when it Visit webassign.com/ comes to math WebAssign goes to the head of the class. grading-engine to learn Even the toughest open-ended calculus problems how the WebAssign Answer Evaluation and Grading can’t stump WebAssign. Our patent-pending grading System works. engine recognizes all algebraically equivalent answers to even the most complex problems. In other words, WebAssign grades like a real professor. It’s all part of the WebAssign commitment to excellence in education. And, we’ll admit it, we really like being at the head of the class. WebAssign. Smart teaching. Inspired learning. webassign.com 919.829.8181 | 800.955.8275 WELCOME TO MAA MATHFEST IN PORTLAND! MAA committee members and staff have once again developed TABLE OF CONTENTS an exciting and interesting program this year. MAA MathFest will officially open with the Grand Opening Reception 3 INVITED ADDRESSES on Wednesday, August 6, from 6:00 to 8:00 p.m., the evening before the scientific program commences on Thursday morning. The reception will 9 INVITED PAPER SESSIONS take place in the exhibit hall and all registered participants and guests are welcome to attend and enjoy complimentary light hors d’oeuvres and a 12 THEMED CONTRIBUTED PAPER SESSIONS cash bar while you mingle with other attendees. 17 GENERAL CONTRIBUTED PAPER SESSIONS The program for this year’s MAA MathFest promises to be stimulating 18 SIGMAA ACTIVITIES and informative. The Hedrick Lectures will be given by Bjorn Poonen, Massachusetts Institute of Technology.
    [Show full text]
  • Alumni Gazette
    Alumni Gazette For the Love of a Mollusk Heidi Knoblauch ’08 opens a fashionable oyster bar in New York state’s Capital Region. by alan Wechsler “I fell in love with history at the Univer- Scorsese’s The Age of Innocence, as well as sity of Rochester,” she says. Ironweed, were filmed here. Heidi Knoblauch ’08 had her academic She wrote a senior thesis on the long While poverty persists, the city’s archi- career all set. The Phi Beta Kappa gradu- campaign for national health care that be- tecture and affordability have helped turn ate had earned multiple fellowships, three gan in the United States in 1945. She later downtown into a trendy place, with cof- master’s degrees, and a PhD in history from published her research in the American fee shops, a wine bar, a gastropub, and a Yale. In 2015, she accepted a teaching posi- Journal of Public Health. popular Saturday farmer’s market. It was tion at Bard College. During her brief stint at Bard, Knoblauch this hipster atmosphere that attracted And then she gave it all up. For oysters. ran the school’s program in experimental Knoblauch. It helped that a former flow- In December Knoblauch opened Plumb, humanities, looking at ways to use digital er shop became available, in the first floor a raw oyster bar and restaurant located in technology to teach public history. of a building owned by her mother, Ar- an up-and-coming section of downtown At the time, Knoblauch was living with lene Nock. Troy, New York. her wife, Kelly McNamee ’05, in near- “I had no hesitation at all about her do- “I had a reckoning with myself,” she by Beacon.
    [Show full text]
  • Coxeter and the Artists: Two-Way Inspiration, Part 2
    Coxeter and the Artists: two-way inspiration, Part 2 Doris Schattschneider Mathematics and Computer Science, Moravian College, PPHAC 1200 Main St., Bethlehem, PA 18018-6650 Email: [email protected] Abstract H.S.M. Coxeter's delight in geometric form was the catalyst for fruitful two-way interactions with artists, sculptors, and model-makers. His publications and personal encouragement inspired them to create breathtaking expressions of the power and beauty of geometry. The inspiration was often reciprocal: the artists' expressions, frequently guided by their unique intuition, sparked Coxeter's geometric curiosity and often provided new mathematical insight. Introduction The chief reason for studying regular polyhedra is still the same as in the time of the Pythagoreans, namely, that their symmetrical shapes appeal to one's artistic sense. —H.S.M. Coxeter [4, preface]. During his lifetime, H.S.M. (Donald) Coxeter interacted with many artists and model-makers who shared his passion for symmetric geometric form. Often it was one of his many publications on polyhedra that inspired the artists to create drawings, models of paper, card, wire, wood, or plastic, or to invent original sculptures whose beauty exploited the underlying geometry. Sometimes their work was done purely intuitively, and “discovered” by a mathematician who brought it to Coxeter's attention. When Coxeter learned (directly or indirectly) of the mathematically interesting work of an artist or model-maker, he never hesitated to reach out to the artisan, to share his own insights, and to ask his questions. He was very aware of the heuristic value of physical models in discovering new mathematical relationships, and in communicating mathematical information visually.
    [Show full text]
  • Doris Wood Schattschneider
    Doris Wood Schattschneider Doris Schattschneider received her M.A. and PhD in mathematics from Yale University with a dissertation on “Restricted roots of a semi-simple algebraic group.” She is currently a Professor of Mathematics at Moravian College in Bethlehem, Pennsylvania and has taught for over thirty years. She is a woman of great accomplishments; such as, the first woman Editor of Mathematics Magazine (1981- 1985), and she was also the first woman to deliver Pi Mu Epsilon’s J. Sutherland Frame Lecture (1988). Schattschneider is internationally known for her work with tessellations of the plane and her exposition of Dutch artist M.C. Escher. Born on October 19,1939 in New York, Schattschneider was the second of four children to Robert and Charlotte Wood. Charlotte Wood received her master’s degree in classics from Cornell University and taught Regents Latin in high schools and is a coauthor of a widely used Latin textbook. Robert Wood graduated from City College of New York and was a mechanical engineer for the Bureau of Bridges of the City of New York. Born a daughter of two professional parents, there was no question that Doris and her siblings would be fully educated and that family expectations would be very high. For example, during Doris’s youth, the Wood household revolved around lively dinner table discussions in which her father always wanted to know what had happened that day in school. If anyone would ask a question about the meaning of a word or topic, the questioner had to leave the table and look up the answer before dinner could proceed.
    [Show full text]
  • Program August 5—8, 2015 Washington, D.C
    Program August 5—8, 2015 Washington, D.C. Program-Cover-FINAL-Cheryl-approved.indd 1 7/17/2015 9:30:47 AM We know calculus WebAssign is built to withstand the rigors of teaching calculus to today’s students. Our powerful grading engine works like a real professor and recognizes all algebraically equivalent answers to even the most complex problems. With WebAssign, you get the best teaching tools for the market-leading calculus textbooks, superior student support, and extensive faculty resources. WebAssign. Smart teaching. Inspired learning. WebAssign can work for you. Visit webassign.com/mathfest15 to learn about additional resources that can be added to any WebAssign course at no added cost. webassign.com 800.955.8275 | 919.829.8181 WebAssign® is a registered trademark of Advanced Instructional Systems, Inc. ©2015 by Advanced Instructional Systems, Inc. All rights reserved. WELCOME TO THE CENTENNIAL MATHFEST! #MAA100 We are so glad you are joining in the fun... and it truly will be a memorable and mathemazing four days! The Centennial Planning Committee, led by Deanna Haunsperger and Stephen Kennedy, began its work over ten years ago and have produced an amazing program with a lot of mathematical heart. The days will be filled with enticing mathematics, and the evenings will showcase mathematical culture with performances by MAA members. Do browse the program, but I can point out a few highlights. As you’ve noted, we expanded the program by an extra day to honor our centennial. There are six Centennial Lectures given by a slate of outstanding speakers (Erik Demaine, Jennifer Chayes, Ingrid Daubechies, Carlos Castillo- Chavez, Karen Parshall, and Manjul Bhargava) in a diversity of fields.
    [Show full text]
  • CHARMING PROOFS a Journey Into Elegant Mathematics
    AMS / MAA DOLCIANI MATHEMATICAL EXPOSITIONS VOL 42 CHARMING PROOFS A Journey into Elegant Mathematics Claudi Alsina and Roger B. Nelsen i i “MABK014-FM” — 2010/7/10 — 13:14 — page i — #1 i i 10.1090/dol/042 Charming Proofs A Journey into Elegant Mathematics i i i i ©2010 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 2010927263 Print ISBN 978-0-88385-348-1 Electronic ISBN 978-1-61444-201-1 Printed in the United States of America Current Printing (last digit): 10 9 8 7 6 5 4 3 2 1 i i “MABK014-FM” — 2010/7/10 — 13:14 — page iii — #3 i i The Dolciani Mathematical Expositions NUMBER FORTY-TWO Charming Proofs A Journey into Elegant Mathematics Claudi Alsina Universitat Politecnica` de Catalunya Roger B. Nelsen Lewis & Clark College Published and Distributed by The Mathematical Association of America i i i i i i “master” — 2010/7/13 — 10:16 — page iv — #4 i i DOLCIANI MATHEMATICAL EXPOSITIONS Committee on Books Gerald Bryce, Chair Dolciani Mathematical Expositions Editorial Board Underwood Dudley, Editor Jeremy S. Case Rosalie A. Dance Tevian Dray Patricia B. Humphrey Virginia E. Knight Michael J. McAsey Mark A. Peterson Jonathan Rogness Thomas Q. Sibley i i i i i i “MABK014-FM” — 2010/7/10 — 13:14 — page v — #5 i i The DOLCIANI MATHEMATICAL EXPOSITIONS series of the Mathematical As- sociation of America was established through a generous gift to the Association from Mary P. Dolciani, Professor of Mathematics at Hunter College of the City University of New York.
    [Show full text]