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Proceedings of the Conference on Promoting Undergraduate Research in Mathematics Proceedings of the Conference on Promoting Undergraduate Research in Mathematics In the span of twenty years, research in Proceedings mathematics by undergraduates has gone from rare to commonplace. To examine Promoting Undergraduate Research in Mathematics Gallian, Editor of the and promote this trend, the AMS and Proceedings NSA sponsored a three-day conference Conference in September 2006 to bring together of the mathematicians who were involving on Promoting undergraduates across the country in Conference on mathematics research to exchange ideas, Undergraduate discuss issues of common concern, establish contacts, and gather information Research in that would be of value to others interested Promoting in engaging undergraduates in mathematics Mathematics research. The conference featured plenary talks, panel discussions, and small group sessions. The topics included summer Undergraduate research programs, academic year research Joseph A. Gallian opportunities, diversity issues, assessment Editor methods, and perspectives from alumni Research in of research programs. This volume is the proceedings of that conference. Mathematics Joseph A. Gallian Editor AMS on the Web PURM/GALLIAN2 www.ams.org AMS 472 pages • Spine Width: 7/8 inch • Two Color Cover: This plate PMS 4515 (Beige) This plate PMS 323 (Teal) Proceedings of the Conference on Promoting Undergraduate Research in Mathematics Proceedings of the Conference on Promoting Undergraduate Research in Mathematics Joseph A. Gallian Editor American Mathematical Society Providence, Rhode Island Cover photography courtesy of Cindy Wyels, CSU Channel Islands, Camarillo, CA, and Darren Narayan, Rochester Institute of Technology, Rochester, NY. This material is based upon work supported by National Security Agency under grant H98230-06-1-0095. ISBN-13: 978-0-8218-4321-5 ISBN-10: 0-8218-4321-4 Copyright c 2007 American Mathematical Society Printed in the United States of America. All rights reserved. 10987654321 121110090807 Table of Contents Preface .........................................................ix Part I. Descriptions of Summer Research Programs American Institution of Mathematics ............................3 The Applied Mathematical Sciences Summer Institute ...........9 Arizona State University .......................................15 Brigham Young University. .....................................23 California State University, Channel Islands ....................27 California State University, Chico ..............................33 Canisius College ....................... .......................39 Central Michigan University ....................................43 Claremont Colleges ............................................49 Clayton State University .......................................53 Clemson University ............................................57 College of William and Mary ...................................61 East Tennessee State University ................................67 Grand Valley State University ..................................73 Hope College ...................................................79 IowaStateUniversity ..........................................85 Lafayette College ..............................................91 Louisiana State University ......................................97 Mount Holyoke College ........................................103 National Security Agency .....................................109 Penn State Erie, The Behrend College ........................113 Rice University ...............................................119 v vi CONTENTS Rose-Hulman Institute of Technology ..........................125 Rutgers University ............................................129 SUNY Potsdam-Clarkson University ..........................135 TrinityUniversity .............................................139 UniversityofAkron...........................................145 University of Minnesota Duluth................................149 University of Nebraska – Lincoln . ........................... 155 University of North Carolina at Greensboro ...................161 University of Texas at Arlington ...............................167 University of Washington ......................................173 Valparaiso University .........................................179 Wabash College ...............................................183 Williams College ..............................................189 Worcester Polytechnic Institute ................................193 Part II. Descriptions of Summer Enrichment Programs Twelve Years of Summer Program for Women in Mathematics – WhatWorksandWhy? byMurliM.Gupta ...................201 Research Experience for Undergraduates in Numerical Analysis and Scientific Computing: An International Program by Graeme Fair- weather and Barbara M. Moskal ..............................207 Part III. Articles The Long-Term Undergraduate Research (LURE) Model by Sarah Spence Adams, James A. Davis, Nicholas Eugene, Kathy Hoke, SivaramNarayanandKenSmith .............................215 Research with Students from Underrepresented Groups by R. Ash- ley, A. Ayela-Uwangue, F. Cabrera, C. Callesano, D. A. Narayan .......................................................219 Research Classes at Gettysburg College by B´elaBajnok .......223 CONTENTS vii Research in Industrial Projects for Students: A Unique Undergrad- uate Experience by Stacey Beggs . ........................... 227 What Students Say About Their REU Experience by Frank Connolly and Joseph A. Gallian ........................................233 Diversity Issues in Undergraduate Research by R. Cortez, D. Dav- enport, H. Medina, and D. Narayan ...........................237 The Center for Undergraduate Research in Mathematics (CURM) at Brigham Young University by Michael Dorff ................245 The MAA-NSF Undergraduate Student Conferences Program by J. Douglas Faires .............................................251 The YSU Center for Undergraduate Research in Mathematics by J. Douglas Faires .............................................255 UBM and REU: Unique Approaches at Tennessee by Hem Raj Joshi, Louis J. Gross, Suzanne Lenhart, and Ren´e Salinas ...........261 Highlights in Undergraduate Research in Mathematics 1987-2006 by Joseph A. Gallian .............................................267 Helping Students Present Their Research by Joseph A. Gallian and Aparna Higgins ...............................................273 Academic Year Research at Valparaiso University by Richard Gill- man and Zsuzsanna Szaniszlo .................................279 Graduate Students as Mentors in Mathematics REUs by Stephen G. Hartke, Daniel C. Isaksen and Philip Matchett Wood ......285 National Research Experiences for Undergraduates Program (NREUP) by William Hawkins, Robert Megginson and Michael Pear- son ...........................................................289 Undergraduate Research during the Academic Year by Aparna Hig- gins...........................................................295 IDeA Labs: BYU’s NSF CSUMS Program by Jeffrey Humpherys and Sean Warnick ............................................301 Assessment Methods for Undergraduate Research Programs by Daniel C. Isaksen ....................................................307 My Experiences Researching With Undergraduate Mathematicians: The Collaboration Model by Joshua D. Laison ................311 Pi Mu Epsilon Student Presentations and Mathfest by Terry Jo Leit- erman and Rick Poss .........................................317 viii CONTENTS On the Path to Scholarship byLewis D. Ludwig ...............321 Mathematics Research by Undergraduates: Costs and Benefits to Faculty and the Institution by the MAA CUPM Subcommittee on Research by Undergraduates ..................................325 Reflections on Undergraduate Research by Mario Martelli .....329 The University of Chicago’s VIGRE REU and DRP by J. P.May .....................................................335 Twenty Years of MAA Student Paper Sessions by Betty Mayfield ......................................................341 Mathematics In Multi-disciplinary Research-focused Learning Com- munities by Jason E. Miller....................................343 Life on Both Sides of the Fence: Mentoring Versus Being Mentored byMasonA.Porter ...........................................349 Math 485: Seminar in Mathematical Problem Solving by Steven J.Winters ....................................................355 Part IV. Summaries of Conference Sessions Helping Undergraduate Students into Graduate School ........359 Support, Managing, Philosophical .............................363 Undergraduate Biology and Mathematics Programs ...........365 Using undergraduates Effectively and Faculty Burn Out .......369 Getting Support from Colleagues; Graduate Student Retention 371 Lack of Respect; Targeting Women; Personality Problems .....373 Uniform Acceptance Date .....................................375 Working with Local Students .................................377 Notes on the PURM Conference by Philip Matchett Wood ....381 Part V. Surveys of Undergraduate Research Programs Summer Program Surveys .....................................399 Part VI. Conference Program Preface In 1999, the AMS received a grant from the National Security Agency to spon- sor a three-day conference on Summer Undergraduate Mathematics Research Pro- grams for the purpose of bringing together mathematicians from across the country who were involved in summer mathematics research programs for undergraduates to exchange ideas, discuss issues of common concern, establish
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