University of Maine
Physics Education Research Laboratory

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Research and Evaluation | All Publications and Presentations (complete, most up-to-date)

Research into Student Learning:
Mathematics in Physics

The understanding of mathematics and the mathematical models we use in physics form a central part of the language that our students must learn in our classrooms. The work linked to below was done as part of a variety of projects, and was funded in part by the National Science Foundation and the Department of Education Fund for the Improvement of Post-Secondary Education.

Ongoing projects at the UMaine PERL that are not listed below include studies of how students integrate their understanding of mathematics and physics in a sophomore level advanced mechanics course.

Links to Research Topics arranged by research topic and author

Papers

E.B. Pollock, J.R. Thompson, D.B. Mountcastle Student Understanding of the Physics and Mathematics of Process Variables In P-V Diagrams Physics Education Research Conference Proceedings 2007 (to appear 2008)
D.B. Mountcastle, B.R. Bucy, J.R. Thompson Student Estimates of Probability and Uncertainty in Advanced Laboratory and Statistical Physics Courses Physics Education Research Conference Proceedings 2007 (to appear 2008)
B.R. Bucy, J.R. Thompson, D.B. Mountcastle Student (Mis)application of Partial Differentiation to Material Properties 2006 Physics Education Research Conference Proceedings, edited by P. Heron, L. McCullough, and J. Marx, AIP Conference Proceedings 883, 157-160 (2007)
J.R. Thompson, B.R. Bucy, D.B. Mountcastle Assessing Student Understanding of Partial Derivatives in Thermodynamics 2005 Physics Education Research Conference Proceedings, edited by P. Heron, L. McCullough, and J. Marx, AIP Conference Proceedings 818, 77-80 (2006)
R.N. Steinberg, M.C. Wittmann, E.F. Redish, Mathematical Tutorials In Introductory Physics Sample class, in The Changing Role Of Physics Departments In Modern University, AIP Conference Proceedings 399 (AIP, 1997) 1075-1092.

Invited Talks

J.R. Thompson Research on student understanding in physics: an example from two-dimensional kinematics Twenty-third state wide meeting of high school physics teachers, Orono, ME, 2003 May.
J.R. Thompson Discipline-based education research as a guide to teaching and learning: examples from physics. The University of New Hampshire, Analytical/Physical Chemistry Seminar, Durham, NH, 2003 May.
J.R. Thompson, M.C. Wittmann, S.J. Kaback Promoting the understanding of teaching and learning in physics The University of Maine Center for Science and Mathematics Education Research Brown Bag Seminar, April 2003,
M.C. Wittmann Standardized tests as predictors of student performance in advanced physics classes University of Maine, December 2001.
M.C. Wittmann Student use of multiple models in wave and quantum physics Bremen University, Germany, June 1999.
M.C. Wittmann Research and Curriculum Development to Address Student Understanding of Wave Physics AAPT Winter Meeting, Anaheim CA, January 11, 1999
M.C. Wittmann Student Use of Multiple Models When Making Sense of Physics: An Example From Mechanical Waves Summer School of the European Science Education Research Association, Marly-le-Roi, France, August 1998. To see an on-line version of a more complete version of this talk, see Wittmann's defense talk.
M.C. Wittmann Investigation and Addressing Student Difficulties with Physics: An Example from Mechanical Waves Two-Year College Introductory Physics Conference III, Joliet IL, Joliet Junior College, June, 1998. To see an on-line version of a more complete version of this talk, see Wittmann's defense talk.
M.C. Wittmann Making sense of student models of physics: An example from mechanical waves University of Maryland, October 1998. To see an on-line version of a more complete version of this talk, see Wittmann's defense talk.
M.C. Wittmann Student Difficulties with Wave Concepts University of Maryland, September 1997.

Contributed Talks

T. Lyons, J.R. Thompson, and M.C. Wittmann Context dependence of student understanding of simple graphs 127th National AAPT Meeting, Madison, WI, 2003 August.
J.M. Saul, M.C. Wittmann, R.N. Steinberg, and E.F. Redish Student Difficulties with Math in Physics: Why can't Students Apply What They Learn in Math Class? , AAPT Summer Meeting, College Park, MD, August 1996.
R.N. Steinberg, J.M. Saul, M.C. Wittmann, and E.F. Redish Student Difficulties Understanding the role of Mathematics in Introductory Physics Joint APS/AAPT Meeting, Indianapolis IN, May 1996.

Contributed Posters

T. Lyons, M.C. Wittmann, J.R. Thompson Context dependence of student understanding of simple graphs Physics Education Research Conference, Madison, WI, August 2003.

Department of Physics and Astronomy
College of Education and Human Development
Center for Science and Mathematics Education Research
 

Contact Information

Michael C. Wittmann
-or-
John R. Thompson
Department of Physics and Astronomy
5709 Bennett Hall
University of Maine
Orono ME 04401-5709
tel: Michael C. Wittmann: 207 - 581 - 1237
tel: John R. Thompson: 207 - 581 - 1030
fax: 207 - 581 - 3410