Furman University

- Professor (1996 - )
- Associate Professor (1989 - 1996)
- Assistant Professor (1986 - 1989)

Santa Clara University

- Assistant Professor (1983 - 1986)

Boston College

- Assistant Professor (1981 - 1983)

Dartmouth College

- Lecturer in Mathematics (1979 - 1981)
- Ph.D (Thesis: Intrinsic integral representations and boundary theory for superharmonic measures of a random walk, 1981)
- A.M. (1979)

Gonzaga University

- B.S., Honors (1977)

“Insights gained and lost” Annual meeting of the Mathematical Association of America, San Antonio, January 2015

“Philosophical and mathematical consideration of continua” Annual meeting of the Mathematical Association of America, San Diego, January 2013

“The consequences of drawing necessary conclusions” Annual meeting of the Mathematical Association of America, Boston, January 2012

“Being a realist without being a Platonist” Annual meeting of the Mathematical Association of America, San Francisco, January 2010

“Should my philosophy of mathematics influence my teaching of mathematics” Summer meeting of the Mathematical Association of America, Portland, August 2009

“Choosing or explaining” Presentation as part of a panel session on “The Intersection of the History and Philosophy of Mathematics”, Annual meeting of the Mathematical Association of America : Washington, January 2009

“The *De continuo* of Thomas Bradwardine” Annual meeting of the Mathematical Association of America : San Diego, January 2008

“Realism and mathematics: Peirce and infinitesimals” Annual meeting of the Mathematical Association of America, Atlanta, January 2005

“Reflections on Zeno's paradoxes” Southeast regional meeting of the Mathematical Association of America, Clemson, March 2003

“Peirce, Zeno, Achilles, and the Tortoise”, Annual meeting of the Mathematical Association of America, Baltimore, January 2003

“An applet a day: simple calculus demonstrations using Java” Annual meeting of the Mathematical Association of America, Baltimore, January 1998

“Computational science in a liberal arts setting” Annual meeting of the Mathematical Association of America, Orlando, January 1996

“Peirce and Fisher on the place of probability in abductive inference” International Congress Henri Poincaré, Nancy, May 1994

“Calculus within a modeling and computer oriented environment: content” Summer meeting of the Mathematical Association of America, Boulder, August 1989

“Calculus within a modeling and computer oriented environment” (with Robert D. Fray) Annual meeting of the Mathematical Association of America, Phoenix, January 1989

“Intrinsic integral representations of superharmonic measures” (with Charles D. Lahr) Annual meeting of the American Mathematical Society, San Francisco, January 1981

*A Primer of Real Analysis*, a real analysis text, available here

*Yet Another Calculus Text*, a short introduction to calculus using infinitesimals, available here

*The Calculus of Functions of Several Variables*, a multi-variable calculus text, available here

*Difference Equations to Differential Equations*, a calculus text with interactive Java applets, available here

“Making philosophical choices in statistics” to appear in *Using the Philosophy of Mathematics in Teaching Mathematics*, edited by Bonnie Gold, Carl Behrens, and Roger Simons, MAA Notes

“Peirce and Fisher on the place of probability in abductive inference” *Philosophia Scientiae*, Archives-Centre d'Etudes et de Recherche Henri Poincaré, vol. 1, no. 2, 1996 (available here)

“Statistical inference: small probabilities and errors” (available here)

“Peirce's alternative Achilles paradox” (available here)

“Trigonometric Series Approximations” Java applet published in *Mathematical Sciences Digital Library* : Mathematical Association of America, 2002 (available here)

“Numerical Integration Rules” Java applet published in *Multimedia Educational Resource for Learning and Online Teaching*, 2002 (available here)

“Two-dimensional Random Walk” Java applet published in supplemental CD-ROM for *Mathematics of Data Management*, McGraw-Hill Ryerson, 2002

Eight Java applets with associated sections from *Difference Equations to Differential Equations*: Published at *Math Tools*, a digital library of technology resources for mathematics education funded by the National Science Foundation, August 2002 (available here)

Abstract on calculus revision project: *Priming the Calculus Pump: Innovations and Resources*, MAA Notes Series # 17, 1990

“Multimedia Computing and Scientific Visualization” Kresge Foundation, April 1995 (with Ken Abernethy, Bob Fray, and Frank Taylor)

“Multimedia Computing and Scientific Visualization” Keck Foundation, August 1994 (with Ken Abernethy, Bob Fray, and Frank Taylor)

“Introduction of Computational Science into the Undergraduate Curriculum at Furman University” National Science Foundation, May 1994 (with Hayden Porter and Frank Taylor)

“Computer Algebra Systems in the Classroom” Carolinas & Ohio Science Education Network, October 1991

“A Computer Laboratory for Calculus Reform” National Science Foundation, August 1989

“Restructuring One Variable Calculus within a Modeling and Computer Oriented Environment” National Science Foundation, August 1988

“Philosophy of Experimental Inference: Induction, Reliability, and Error” National Endowment for the Humanities Seminar, Deborah Mayo, Virginia Polytechnic Institute and State University, 1999

“Computational Science” National Science Foundation Workshop, North Carolina Supercomputer Center, Raleigh (1993)

“Regional Institute in Dynamical Systems” National Science Foundation Workshop, Boston University, Boston (1990)

“Frege and the Philosophy of Mathematics” National Endowment for the Humanities Seminar, Michael Resnik, University of North Carolina at Chapel Hill, 1988

“New Information Technology and Liberal Education” Participant and member of planning committee for joint seminar, with faculty from Wofford College and Furman University, 1999-2000

Member of writing team for “New Information Technology and Liberal Education: A Manifesto (available here)

Member of organizing committee for the national symposium “New Information Technologies and Liberal Education”

Guest editor, with James Inman, Hayden Porter, and William Rogers, “New Information Technology and Liberal Education: Issues and Options” in *The Journal of Electronic Publishing* (available here)

“Charles Sanders Peirce or the Consequences of a Hypothesis” Ivana Alexandrova, Pi Mu Epsilon National Meeting, Burlington, August, 1995

“Infinity and the Continuum from the Perspective of Charles S. Peirce” Monique Swafford, National Conference of Undergraduate Research, Kalamazoo, May 1994

“Infinity and the Continuum from the Perspective of Charles S. Peirce” Monique Swafford, Fifth Annual Pew-COSEN Scholars Summer Research Conference, Duke University, October 1993

American Association of University Professors

- President of Furman Chapter (2002 - 2004, 2007 - 2008, 2014 - 2016)
- Nominating Committee for the South Carolina Conference (2005)
- Vice President of Furman Chapter (2000 - 2002)

Mathematical Association of America

- MAA Notes Editorial Board (2014 - 2017)
- AMS-MAA Joint Archives Committee (2013 - 2016)
- Past-chair, Philosophy of Mathematics Special Interest Group (2015 - 2016)
- Chair, Philosophy of Mathematics Special Interest Group (2013 - 2015)
- Chair-elect, Philosophy of Mathematics Special Interest Group (2012 - 2013)
- Program Director, Philosophy of Mathematics Special Interest Group (2010 - 2012)