Section Visitors are among the senior leadership of the Association and a primary purpose of their visits is to assist the Section leadership in maintaining healthy Sections by bringing to the Section leadership ideas of successful activities from other Sections and provide a means of communication between the leadership and the members.
The Association leaders who are currently designated as Section Visitors
Jim Daniel, Treasurer
Available as a speaker: through Spring 2021
Topics include:
 How much money do you (or your parents) need for retirement?
 This studentoriented talk illustrates both the thinking and basic collegiate math used by actuaries in analyzing how to prepare now for future financial risk and so serves as an elementary introduction to actuarial mathematics.
 Actuarial careers: what, where, who, how, and why
 This studentoriented talk describes the job of an actuary, a career that has long been of interest to good problem solvers interested in applying their math skills in business.
 Concave functions, Jensen's inequality, annuities, and divorce settlements".
 This studentoriented 50minute talk initially requires only precalculus and then basic probability. It describes functions that are concave down and some of their properties, especially Jensen's inequality that states that f(E{X]) ≥ E[f(X)] for a concave function f on an interval and a random variable X taking values in that interval. As an application, it then describes the present value of an annuity payable for life and shows that divorce settlements often overvalue the worth of the pensions of parties to the divorce and thereby treat the parties unfairly.
 Communitythe MAA, you, and the profession
 This is a short 2030minute talk intended for Project NExT sessions. It describes the importance of belonging to a community and how the MAA (and other groups) provide communities of various sorts that can support and engage faculty over the years as their interests and focuses change.
Suzanne Dorée, Chair of Congress
Available as a speaker: through Spring 2020
Topics include:
 Writing Numbers as the Sum of Factorials
In standard decimal notation, we write each integer as the linear combination of powers of 10. In binary, we use powers of 2. What if we used factorials instead of exponentials? How can we express each integer as the sum of factorials in a minimal way? This talk will explore the factorial representation of integers, including historical connections to permutations, a fast algorithm for conversion, and the secret of the “third proof by mathematical induction.” Next we’ll extend this representation to rational and then real numbers, ending with a guest appearance by the generalized hyperbolic functions and some remaining open questions.
 The Curious Case of 2s and 3s: Dynamics on Weak Compositions
The “Boltzman Game” begins with N students who each have $1. At each turn, two students are randomly selected and the first student gives $1 to the second, if possible. In the long run, how often does a student have $0, $1, $2, etc.? The answer uses Markov Chains, elementary counting, and other tools from discrete mathematics and uncovers a curious coincidence about $2s and $3s. We will also take a quick look at the state graph on these weak compositions, the induced dynamical system on partitions, and describe the Boltzman Distribution from Statistical Mechanics that motivated the game.
 The Graphs of Hanoi
The Hanoi graphs are intricate, highly symmetric, littleknown state graphs of the multipeg versions of the famous Tower of Hanoi puzzle. In this talk, we'll tour this family of graphs, exploring what we and others have shown, and what is open for further investigation.
 Turning Routine Exercises into Activities that Teach Mathematical Inquiry
Asking questions, checking examples, making conjectures, and constructing counterexamples are part of any mathematician's toolkit and important skills for our students to learn. The MAA CUPM curriculum guide agrees, calling us to ``include activities designed to promote student's progress in learning to . . . assess the correctness of solutions, create and explore examples, carry out mathematical experiments, and devise and test conjectures'' with the goal that ``students should develop mathematical independence and experience openended inquiry.'' How do we help students develop inquiry skills and ignite their curiosity about mathematics? In this professional development workshop we explore some practical strategies you can use to transform routine textbook exercises emphasizing procedural fluency and basic conceptual understanding into activities that teach inquiry. Come ready to try your hand at creating inquirybased activities.
 ThinkPairShare and Beyond: Active Learning Structures for the College Mathematics Classroom
How can we create a classroom where engaged students are working hard, asking and answering each other’s questions, learning mathematics deeply, and asking for more? In this professional development workshop we will explore how active learning structures can help us create that environment in our mathematics classrooms. Whether you’re just getting started in active learning or an old pro looking for new ideas, come ready to try your hand at an array of different active learning structures.
 Now You're the Advisor: an Introduction to Academic Advising

In this professional development workshop we explore the role of an (undergraduate) academic advisor, outlining what information an advisor needs to know, understanding the limitations on advising, and thinking about how to deal with difficult situations. Come ready to participate and with questions about the role of an advisor.
Michael Dorff, President
Available as a speaker: through Spring 2022
Topics include:
 Workshops for Faculty and Other Teachers (5090 minutes):
 How Mathematics Is Making Hollywood Movies Better
What’s your favorite movie? Star Wars? Avatar? The Avengers? Frozen? What do these and all the highest earning Hollywood movies since 2000 have in common? Mathematics! You probably didn’t think about it while watching these movies, but math was used to help make them. In this presentation, we will discuss how math is being used to create better and more realistic movies. Along the way we will discuss some specific movies and the mathematics behind them. We will include examples from Disney’s 2013 movie Frozen (how to use math to create realistic looking snow) to Pixar’s 2004 movie The Incredibles (how to use math to make an animated character move faster). Come and join us and get a better appreciation of mathematics and movies
 The Best Jobs Last Century? – Doctor And Lawyer. The Best Jobs This Century? – Mathematician/STEM Careers!
A 2014 ranking from CareerCast.com, a job search website, recently named mathematician the best job of 2014. “Mathematicians pull in a midlevel income of $101,360, according to CareerCast.com, and the field is expected to grow 23% in the next eight years,” states the Wall Street Journal blog post. Many students and professors think that teaching is the main (or only) career option for someone who studies mathematics. But there are hundreds of jobs for math students. However, just graduating with a math degree is not enough to guarantee getting one of these jobs. In this talk, we will talk about some of the exciting things mathematicians in business, industry, and government are doing in their careers. Also, we talk about the national PIC Math program that prepares students for nonacademic careers. Finally, we will reveal the three things that recruiters say every math student should do to get a job.
 Soap Bubbles and Mathematics
In high school geometry we learn that the shortest path between two points is a line. In this talk we explore this idea in several different settings. First, we apply this idea to finding the shortest path connecting four points. Then we move this idea up a dimension and look at a few equivalent ideas in terms of surfaces in 3dimensional space. Surprisingly, these first two settings are connected through soap films that result when a wire frame is dipped into soap solution. We use a handson approach to look at the geometry of some specific soap films and "minimal surfaces".
 Successfully Mentoring Undergraduates in Research: A How to Guide for Mathematicians
Students engaged in undergraduate research are more successful during and after college in terms of: problem solving, critical thinking, independent thinking, creativity, intellectual curiosity, disciplinary excitement, and communication skills. Also, undergraduate research is a “highimpact practice” that is positively correlated with student higher GPAs, retention esp. during 1st to 2nd year, graduation rates, satisfaction with college, and pursuit of graduate degrees. In this presentation, we will discuss some of the nuts and bolts of successfully mentoring undergraduate student in mathematics research. Topics include picking an appropriate research problem, recruiting and selecting students to mentor, setting expectations and dealing with group dynamics, starting the research and moving it forward, helping students develop communication skills, and preparing for the future.
Deanna Haunsperger, PastPresident
Available as a speaker: through Spring 2020
Topics include:
 Does Your Vote Count?
 Are you frustrated that your candidate never wins? Does it seem like your vote doesn’t count? Maybe it doesn’t. Or at least not as much as the voting method with which you choose to tally the votes. Together we’ll take a glimpse into the important, interesting, paradoxical world of the mathematics behind tallying elections.
 Halving Your Cake
 It is a problem as old as humanity: given a resource to be shared (water, land, cake) how can it be shared fairly between several people? The answer, in the case of two claimants, is simple and ancient and known to every fiveyearold with a sibling: I cut,You choose. Things get much more interesting, and challenging, if one has more than one sibling. We are forced to ask ourselves exactly what “fairly” means in the question; “fair” from whose point of view and by what criteria?
 Bright Lights on the Horizon
 Math Horizons, the MAA undergraduate magazine, is now over twenty years old. In those two decades many fabulous articles have appeared. In this talk we will survey some of the speaker’s favorites, that list includes pieces on squarewheeled bicycles, Egyptian arithmetic, nontransitive dice, magic tricks, jokes, and mathematical paintings, theater and sculpture. An idiosyncratic tour of the best of Math Horizons.
Rachel Levy, Deputy Executive Director
Topics include:
How to Prepare for a Job in Business, Industry and Government
Mathematical Modeling from Kindergarten to Industry
How to Communicate about Math so People Will Want to Listen
Mathematacal Adventures in Fluid Dynamics
Lisa Marano, Chair, Committee on Sections
Available as a speaker: through Spring 2021
Topic: Mathematics and Service Learning
Michael Pearson, Executive Director
Mathematical Association of America, 1529 18th Street NW, Washington DC 20036
Email: pearson@maa.org
Click here for topics
Carol S. Schumacher, Vice President
Kenyon College, Gambier, OH 43022
Email: Schumacherc@kenyon.edu
Available as a speaker: through Spring 2020
Topics include:
All Tangled Up: Toys have inspired a lot of interesting mathematics. The SpirographTM helps children create lovely curves by rolling a small circle around the inside or the outside of a larger circle. These curves are called hypotrochoids and epitrochoids and are special cases of mathematical curves called roulettes. A roulette is created by following a point attached to one curve as that curve “rolls” along another curve. Another children’s toy, the TangleTM, inspired some students and me to investigate roulettes that we get by rolling a circle around the inside of a “tangle curve,” which is made up of quarter circles. The resulting roulettes we named “tangloids.” In this talk, we will look at many pretty pictures and animations of these curves and discuss some of their interesting properties. As a bonus, I will discuss the nature of generalization, which is very important in mathematics.
Fast forward, slow motion: A graphical link between fast and slow time scales: The world is shaped by interactions between things that develop slowly over time and things that happen very rapidly. Picture a garden. A bud takes hours to open up into a flower. A bee takes seconds to fly in, pollinate the flower and then depart. It can be difficult to fully consider both fast and slow time scales at the same timeyet it is the interaction between these events that makes the garden work. Mathematicians have developed a number of techniques for analyzing systems that include both fast and slow time scales. We will consider a graphical method for predicting what happens when fast and slow interact.
Zeroing in on the Implicit Function Theorem: In mathematics, it often happens that baroque, highly technical results disguise beautiful underlying principles. This talk traces the path from the elegant contraction mapping principle to the rather inscrutable implicit function theorema path that passes through Newton’s method for finding roots, linear algebra and linear approximation, and the geometry of multidimensional surfaces.
What is the definition of definition? and other mathematical cultural conundrums: Helping our students think like mathematicians should be at the center of every class we teach. The goal of every math class should be to turn out students who can bring mathematical reasoning to bear in the context of the material taught in the course. In order to help our students do this, we teachers must think deeply about what is going on in their heads. This can be devilishly difficult. In particular, it requires a great deal of selfreflection. How do we think about mathematics? Why is it that so many things are obvious in retrospect but hard to fathom at first? And how do we help our students past these barriers? As a teacher, I have learned a lot about this from my students. During a recent sabbatical leave, I became a student myself, taking courses for the first time in over three decades. This also helped me think about teaching and learning in new ways. The talk will be filled with illustrative examples of activities that can be used in different courses to help students engage the mathematical ideas of the course as mathematicians do every day
James Sellers, Secretary
Available as a speaker: through Spring 2022
Revisiting What Euler and the Bernoullis Knew About Convergent Infinite Series
All too often in firstyear calculus classes, conversations about infinite series stop with discussions about convergence or divergence. Such interactions are, unfortunately, not often illuminating or intriguing. Interestingly enough, Jacob and Johann Bernoulli and Leonhard Euler (and their contemporaries in the early 18th century) knew quite a bit about how to find the *exact* values of numerous families of convergent infinite series. In this talk, I will show two sets of *exact* results in this vein. The talk will be accessible to anyone interested in mathematics.
On Euler’s Partition Theorem Relating OddPart Partitions and DistinctPart Partitions
In the mid18th century, Leonhard Euler singlehandedly began the serious study of integer partitions and made fundamental contributions to the area for the next few decades. In particular, he proved a remarkable result which says that the number of partitions of the integer n into distinct parts equals the number of partitions of n into odd parts. My goal in this talk is to discuss Euler's impressive work on partitions, including snapshots of historical (original) publications of Euler, and then to describe numerous 20th and 21st century results which spring from Euler's original result. The talk will be selfcontained and geared for both students and faculty alike.
Cool Results Involving Fibonacci Numbers and Compositions
Compositions provide a wonderful backdrop for a number of wellknown families of numbers, especially the Fibonacci numbers. In this talk, we will gently introduce the idea of a composition of an integer (which is just an ordered sum of integers), and then discuss how various families of compositions give rise to the Fibonacci numbers, Jacobsthal numbers, and a host of generalizations. The talk will be completely selfcontained and understandable by all, especially undergraduate students interested in mathematics. Conjectures and opportunities for possible undergraduate research will be discussed at the end of the talk.
Advising Mathematics Students Academically and Professionally (suitable as a Section NExT workshop)
For many mathematics faculty members, advising is a fundamental task. Yet, there is usually no training in this area for graduate students while they are earning their degrees. This was my personal experience as I left graduate school and became a college professor. With this in mind, my goal is to discuss a variety of issues surrounding advising of undergraduate students. This includes "preadvising" (such as working with high school students and parents), advising of undergraduates considering a change to the mathematics major, advising of mathematics majors, and professional advising of mathematics students (as they look to their future after graduation). I will also share a variety of resources that will hopefully prove useful to you.
Mathematics Research With Undergraduates: Stories of Personal Success (suitable as a Section NExT workshop)
For the past several years of my career, I have enjoyed working with undergraduates on mathematical research projects of various types, from senior capstone experiences and researchintensive independent study courses to fullfledged research projects. I have found each of these experiences truly enriching, especially those endeavors which ended with refereed publications. (I have been privileged to write at least half a dozen papers with undergraduate coauthors!) In this talk I will share many of the details of these experiences. I will strive to answer the "why" and "how" of doing mathematical research with undergraduate students, from my perspectives at a small school (Cedarville University) and a large school (Penn State University). My hope is that I will inspire you to complete such projects with your students and that you and I will get to talk about some mathematics along the way.
Hortensia Soto, Associate Secretary
Available as a speaker: through Spring 2022
Topics include:
 Diverse Assessments
 Diverse assessments can inform us about students’ understanding of undergraduate mathematics and can shape our teaching. Oral assessments such as classroom presentations and individual student interviews can paint a better picture of students’ conceptions as well as their misconceptions. Reading assignments with structured questions allow students to get a glimpse of new content and their responses can be used to structure the classroom discussion. Perceptuomotor activities offer opportunities for students to feel, experience, and be the mathematics. In this talk, I will share numerous diverse assessments that I have implemented, the benefits of such assessments, and the challenges in implementing these assessments.
 Promoting Mathematics to Young and Diverse Women
 Abstract: Las Chicas de Matemáticas: UNC Math Camp for Young Women is a free oneweek residential camp for 30 young women from grades 912, who have completed algebra I. The goals of the camp are to introduce young women to collegelevel mathematics, college life, STEM related careers, and other women who are passionate about mathematics. In this presentation, I will discuss the structure and outcomes of the camp and offer suggestions for anyone wishing to take on such an endeavor.