Applications of clickers in Quantitative courses: The basics, the
challenges, and reaching toward the future
2012 Joint Mathematics Meeting
MAA General Contributed Paper Session:Modeling and Applications of Mathematics
Also presented, by coauthor Melanie Pivarski:
· The Eighth Annual Math Technology Pioneers Meeting (meeting agenda)
I am a fourth-generation Kentucky educator, and I currently serve as visiting assistant professor in the School of Natural Sciences at the Indiana University - Southeast. I previously served as assistant professor of mathematics at the University of Louisville.
Before coming to the Louisville area, I was a graduate student at Cornell University, completing my Ph.D. in 2005 in probability theory and analysis under the direction of Laurent Saloff-Coste. Before that, I was an undergraduate in mathematics at the University of Kentucky, and a master’s student in mathematics at the University of Louisville.
I have a variety of interests related to mathematical research, and some of my papers are listed below. I am interested in random walks on infinite graphs, mathematical models of disease epidemics, and social choice theories of preference aggregation, collective choice, and voting. In each of these areas, there are aspects of the work which are readily accessible to undergraduate students and which could lead to undergraduate research projects.
I am also interested in the development of best-practices for utilizing new technologies to improve student learning.
I have developed a bank of conceptual clicker questions to be used in College Algebra, which are posted with the clicker resources at the Mathquest web-site. I wrote a case-study about how I use these questions to foster critical thinking and improve student communication skills, which is available at the i>clicker website. The style of these questions follows after the Cornell GoodQuestions for Calculus project.
I teach my courses using a tablet PC, adding pen-strokes to the screen as if it were a blackboard in the Microsoft OneNote program. I can record all the action using a screen-capture software called Camtasia Studio. I have previously used a different program called Tegrity. Here is a recently posted video of extra examples on Markov Chains.
I have recently began providing extra video examples for my classes using a LiveScribe pen. View this file in Adobe Reader X to see what these videos look like.
· An Extension of McGarvey's Theorem from the Perspective of the Plurality Collective Choice Mechanism, with Bob Powers. Social Choice and Welfare, 2011, DOI: 10.1007/s00355-010-0520-3.
· Isoperimetric Profiles on the Pre-fractal Sierpinski Carpet, with Melanie Pivarski. Fractals, Volume 18(2010), no.4.
· An Example of the Multi-purpose use of Clickers in College Algebra, chapter 14 of Teaching Mathematics with Classroom Voting With and Without Clickers, MAA Notes volume 79.
· Treating Cofactors Can Reverse the Expansion of a Primary Disease Epidemic, with Bingtuan Li and Susanna Remold. BMC Infectious Diseases, 2010, 10:248
· The NIP Graph of a Social Welfare Function, with Bob Powers, Social Choice and Welfare, Volume 33(2009), no. 3.
· The Mass of Sites Visited by a Random Walk on an Infinite Graph. Electronic Journal of Probability, Volume 13(2008), Paper 44.
· My Choir: The Master’s Men
· Laura, The irreverent angel