Professor of Mathematics
I have been a member of the Department of Mathematics at Shippensburg University since the fall of 1993. I hold a Ph.D. in Mathematics from Carnegie Mellon University, specializing in a branch of mathematical logic called model theory. My current mathematics research spans many areas of discrete mathematics including logic, combinatorics and graph theory. My educational agenda focuses on building skills in problem-solving, independent thinking, and communication, especially as these skills relate to the understanding of "abstract" mathematics and the notion of mathematical proof. For many years I was the Editor for the Loci Resources section of the Mathematical Sciences Digital Library, a project of the Mathematical Association of America (MAA) for which I still serve on the Advisory Board. I was a member of the Advisory Committee for the 2010 Mathematics Awareness Month with theme, Mathematics and Sports, and most recently I am an Associate Editor for Convergence, the online journal of the MAA focused on the History of Mathematics.
My other involvement in the MAA has ranged from service to my regional MAA Section (EPADEL = Eastern PA & Delaware) in the form of organizing our Visiting Lecture program, coordinating our section NExT program, and serving as Vice President and then President to involvement in the national organization as Visiting Mathematician, member of the Board of Governors (representing EPADEL), and recently Second Vice President. I am a member of the inaugural class of Project NExT, a wildly successful professional development program for new professors run by the MAA since 1994. Currently I serve as chair for the MAA Committee on Early Career Mathematicians, which strives to extend the excellent benefits of Project NExT to all early career mathematicians.
I have written (with Winston Crawley) a textbook for Discrete Mathematics published by John Wiley & Sons, Inc. Complete information about the book can be found at the Wiley website or on amazon.com. I have also created computer-based material for teaching and learning mathematical reasoning and proof through an NSF DUE Educational Materials Development grant (0230755). This material supplements the discrete mathematics textbook. In addition, I ran an MAA PREP workshop on discrete mathematics during the summer of 2006. My Discrete Mathematics textbook uses mathematical puzzles, games, and magic tricks to introduce many topics, and I have a number of talks and papers on this use of recreational mathematics, and I made a page as a contribution to the 2014 Mathematics Awareness Month theme on Mathematics, Magic, and Mystery.
Since 2005 I have been involved in a joint project with Barbara Kaskosz of the University of Rhode Island that involves the development of tutorials and workshops for training teaching and curriculum professionals in developing teaching and learning material using Adobe Flash. The central components of this project are the MathDL Flash Forum and the website www.flashandmath.com. This project is also supported by an NSF DUE grant (0535327), and it has also resulted in a PREP workshop during the summer of 2007 and another in planning for the summer of 2008. Click here for information on the 2008 workshop. As part of the project, Barbara and I have written a book (Flash and Math Applets: Learn by Example) to help math and science instructors get started with Flash programming to create educational material. The FlashandMath project was honored with the 2009 ICTCM Award for Excellence and Innovation with the Use of Technology in Collegiate Mathematics. To see some of my other recent experiments with Flash, look here.
My most recent Flash project, "Mobile Math Apps," is supported by another NSF DUE grant (1140299) and focuses on building smartphone apps for a precalculus course and studying the way students interact with and (hopefully) benefit from the apps.
Douglas Ensley, Ph.D.
The picture on the right requires