PROJECT NExT NEW EXPERIENCES IN TEACHING FELLOWS, MADISON, WI. A program of THE MATHEMATICAL ASSOCIATION OF AMERICA

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PROJECT NExT NEW EXPERIENCES IN TEACHING 2007-2008 FELLOWS, MADISON, WI A program of THE MATHEMATICAL ASSOCIATION OF AMERICA Major funding is provided by THE EXXONMOBIL FOUNDATION and additional support by THE DOLCIANI-HALLORAN FOUNDATION THE EDUCATIONAL ADVANCEMENT FOUNDATION THE AMERICAN MATHEMATICAL SOCIETY THE AMERICAN INSTITUTE OF MATHEMATICS THE AMERICAN STATISTICAL ASSOCIATION THE NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS TEXAS INSTRUMENTS THE ASSOCIATION FOR SYMBOLIC LOGIC THE ASSOCIATION OF MATHEMATICS TEACHER EDUCATORS MAPLESOFT THE W. H. FREEMAN PUBLISHING COMPANY JOHN WILEY & SONS THE LA/MS SECTION OF THE MAA THE METRO NEW YORK SECTION OF THE MAA THE MD/DC/VA SECTION OF THE MAA THE OK/AR SECTION OF THE MAA THE GREATER MAA FUND We gratefully acknowledge their support.

2007-2008 Project NExT Fellows Madison Program, July August, 2008 The Project NExT registration area is in the Upper Lounge in Lowell Center on the campus of the University of Wisconsin, Madison. TUESDAY, JULY 29 8:00-10:00 pm Social Event for 2007-08 and 2008-09 Project NExT Fellows and presenters Ogg Hall 10:00 pm -? INFORMAL SOCIALIZING WEDNESDAY, JULY 30 7:00-8:30 am BREAKFAST Gordon Commons (for those staying in the dorm) 8:15-9:30 am TWO concurrent sessions A. Recruiting mathematics majors for your institution Pyle 235 Panelists: Deanna Haunsperger, Carleton College Glenn Hurlbert, Arizona State University Steve Kennedy, Carleton College Tom Sibley, St. John s University Identifying, recruiting and retaining interested students is crucial to the vitality of a mathematics department. The panelists will give short presentations on effective techniques for encouraging students to study mathematics. The panelists are mathematicians in departments which have had success both in enrolling self-identified mathematics majors and in cultivating an interest for further study in students already enrolled at their institution. There will be time for questions and discussion following the presentations. Organizers: Sarah Crown, Denison University Theron Hitchman, University of Northern Iowa Brent Strunk, University of Louisiana at Monroe Phil Yates, Cal Poly Ponoma

8:15-9:30 am B. Introducing innovative teaching methods into established courses Pyle 335 Panelists: Martha Allen, Georgia College & State University Julia Barnes, Western Carolina University Ron Taylor, Berry College Discovery learning and other innovative hands-on and cooperative methods are frequently employed in electives and bridge courses, but can also be used effectively in core-curriculum classes. This panel will discuss choosing teaching techniques other than lectures for classes with established curricula, and integrating these approaches with course topics and student expectations. The panelists use many participatory activities in the classroom and will share examples of their successes as well as general principles for bringing immersive learning experiences to general-education classes. Organizers: Ryan Brown, Georgia College and State University Jake Wildstrom, University of Louisville 9:35-10:05 am BREAK Lowell Upper Lounge 10:10-11:25 am TWO concurrent sessions A. Strategies to help students deal with mathematics and test anxiety Pyle 235 Panelists: Jean Horn, Northern Virginia Community College Laura Schmidt, University of Wisconsin-Stout Rob Sepich, University of Wisconsin-Madison Dianna Spence, North Georgia College & State University When students enter a mathematics classroom, they are dealing with many issues that affect their performance in that class: other classes, work, family and social issues, as well as past experiences in mathematics classes. These past experiences shape students' performances in their current mathematics classes and can sometimes result in feelings of anxiety. The panelists will discuss math anxiety and test anxiety, including their causes, symptoms and diagnosis, along with coping strategies for students with anxiety. The panelists presentations will be followed by questions and comments from the audience. Organizers: Leah Bridgers, State University of New York - Oneonta Christine Cumming-Strunk, University of Louisiana at Monroe Shannon Lockard, Bridgewater State College Amy Moore, Calvin College

10:10-11:25 am B. How to Run an Undergraduate Seminar in Mathematics Pyle 335 Panelists: Dan Kemp, South Dakota State University Tamara Lakins, Allegheny College Chris Swanson, Ashland University Undergraduate seminars take on many flavors. On some campuses, a seminar is an advanced special topics course; on others it fills a particular niche, such as preparing math education majors for licensing tests. In many places it is a capstone course in which students undertake some research and present their results or findings. Whichever variation is found on your campus, running a seminar presents a different set of challenges than a lecture course. The panelists will share their experiences with undergraduate seminars and discuss how to manage them. Our panelists include: Dan Kemp from South Dakota State University, where the senior seminar is a year-long class first helping students with researching and writing in mathematics, and then having students present papers/results and take an exit exam; Chris Swanson from Ashland University, where the content of the seminar varies with the interests of faculty and students, and involves writing a paper and making a presentation at a local conference on a mathematical topic not commonly encountered in other classes; and Tamara Lakins from Allegheny College, where the seminar involves students conducting preliminary research on potential senior project topics. Organizers: Laurie Zack, High Point University Pedro Poitevin, Salem State College Chris Tweddle, University of Evansville 11:30 am - 12:15 pm Small Group Discussions with other Project NExT Fellows [This session is organized by research area. Please attend the group that best matches your current research interests.] Group A: Analysis -- Lowell 118 Group B: Differential equations, dynamical systems -- Lowell Lower Lounge Group C: Mathematics education, history of mathematics -- Pyle 111 Group D: Probability, statistics -- Pyle 112 Group E: Mathematical biology -- Pyle 205 Group F: Linear algebra, number theory -- Pyle 227 Group G: Algebra, group theory, algebraic geometry -- Pyle 335 Group H: Combinatorics, graph theory, discrete mathematics -- Pyle 235 Group I: Geometry, topology, logic -- Pyle 327 Group J: Applied mathematics, operations research -- Pyle 232 12:15-1:30 pm LUNCH Pyle Main Dining Room

1:35-3:05 pm TWO concurrent sessions A. Integrating interdisciplinary applications into courses both new and old Pyle 235 Panelists: Carl Cowen, Indiana University - Purdue University Indianapolis Claudia Neuhauser, University of Minnesota, Twin Cities, and University of Minnesota, Rochester Patrick Van Fleet, University of St. Thomas, St. Paul, MN Using interdisciplinary applications in your teaching can be a rewarding experience for your students. But whether you are developing your own course or trying to incorporate an interdisciplinary approach into an existing course, finding appropriate applications and presenting them well can be difficult. This panel discussion features faculty who have had success teaching courses in calculus, linear algebra and wavelets, using real-world applications. A combination of presentations from the panelists and a question-and-answer session with the audience will cover issues such as fitting interdisciplinary courses into the department curriculum, choosing appropriate applications, and presenting those applications in lecture, homework, or course projects to best enhance student learning without sacrificing other elements of the syllabus. Organizers: Zdenka Guadarrama, Rockhurst University Geir Helleloid, University of Texas at Austin Aaron Lauve, Texas A and M University B. Using computer algebra systems in courses such as single and multivariable calculus Pyle 335 Panelists: Judy Holdener, Kenyon College Ron Lipsman, University of Maryland Jon Rogness, University of Minnesota Ed Swim, United States Military Academy at West Point In this session participants will discuss the role of computer algebra systems (CAS) in the curriculum. The panelists will address topics such as: how to make the decision of whether to use a CAS, how a CAS can (and cannot) be used to solve problems, what to expect from students and how to help them beat the learning curve, inclusion of a CAS across a curriculum, and examples of using CAS in teaching and assessment. Organizers: Jeremy Muskat, Western State College of Colorado Elisha Peterson, United States Military Academy Bill Wood, Hendrix College 3:05-3:55 pm BREAK Lowell Upper Lounge

3:55-5:25 pm Closing Session Recognition of 2007-08 Fellows Presentation: Finding Your Niche in the Profession Joseph Gallian, University of Minnesota Duluth Lowell B1A&B 6:30-7:30 pm Mathfest Opening Reception (cash bar) Madison Ballroom, Monona Terrace 7:30-9:30 pm Mathfest Opening Banquet Mistress of Ceremonies: Jennifer Quinn, Univ. of Washington at Tacoma Presentation: Non-Monotone Math Song Sing-Along Larry Lesser, University of Texas El Paso Capitol AB Ballroom, Monona Terrace 9:30 pm -? INFORMAL SOCIALIZING THURSDAY AND FRIDAY, JULY 31 AND AUGUST 1 Project NExT Courses During the Mathfest: Four-hour courses meeting in the Hilton Madison Monona Terrace on Thursday and Friday, July 31 and August 1. [See information for assignments.] A. Teaching Statistics Carolyn Cuff, Westminster College, PA, 1:00-3:00 p.m., La Follette Room. B. Cooperative Learning for Undergraduate Mathematics William Fenton, Bellarmine University, 1:00-3:00 p.m., Vilas Room C. The Mathematical Education of Teachers W. James Lewis, University of Nebraska - Lincoln, 1:00-3:00 p.m., Doty Room D. Adding the Words: Using Writing to Teach Mathematics John Meier, Lafayette College, 1:00-3:00 p.m., Tenney Room E. Undergraduate Research How to Make It Work Aparna Higgins, University of Dayton, 3:15-5:15 p.m., Doty Room F. Applying for Research and Education Grants/Starting and Maintaining Your Mathematical Research Program - 3:15-5:15 p.m., Lloyd Douglas, University of Nevada, Reno, La Follette Room and Ezra (Bud) Brown, Virginia Polytechnic Institute & State University, Vilas Room 07/05/08