Professor of Mathematics
Education
 B.A., Allegheny College, 1979
 M.S., Cornell University, 1982
 Ph.D., Cornell University, 1983

(574) 5357405

Science Hall 117 (Map)
Read interview with David Housman
David Housman teaches courses in applied mathematics and computer science using interactive lectures, projects, selfdiscovery, cooperative groups, and a process orientation. He has mentored over seventy students in undergraduate research through summer programs, independent studies, and senior theses. His research interests are in game theory with applications to biology, economics, and political science. He is an active member of and cantor for St. Thomas the Apostle Church, principle investigator for the Leaf Scholars program, coordinator for Science Speakers, and codirector of the Goshen College Science Olympiad regional tournament.
Recent (20102015)
 Cosc 215: Data Structures (Syllabus)
 Info 330: Programming II (Syllabus)
 Math 105: Quantitative Reasoning (Syllabus)
 Math 115: Applied Algebra (Syllabus)
 Math 120: Intermediate Algebra (Syllabus)
 Math 131: Arithmetic Concepts for the Elementary Classroom (Syllabus)
 Math 132: Geometric Concepts for the Elementary Classroom (Syllabus)
 Math 141: Finite Math (Syllabus)
 Math 201: Fair Allocation (Syllabus)
 Math 205: Discrete Math (Syllabus)
 Math 211: Calculus I (Syllabus)
 Math 212: Calculus II (Syllabus)
 Math 213: Multivariate Calculus (Syllabus)
 Math 250: Game Theory (Syllabus)
 Math 301: Linear Algebra (Syllabus)
 Math 311: Real Analysis (Syllabus)
 Math 321: Differential Equations (Syllabus)
 Math 323: Probability and Statistics (Syllabus)
 Math 350: Advanced Game Theory (Syllabus)
 Math 351: Mathematical Modeling (Syllabus)
 Math 355: Graph Theory (Syllabus)
 Math 360: Biomathematics (Syllabus)
 Math 375: Statistical Modeling (Syllabus)
 Math 390: Problem Solving Seminar (Syllabus)
 Math 410: Senior Seminar (Syllabus)
 Math 411: History Seminar (Syllabus)
 Math 412: Connections Seminar (Syllabus)
 Math 413: Discoveries Seminar (Syllabus)
Historical
 LowerLevel Mathematics: Discrete Mathematics, Calculus 1 – 3, Freshman Seminar (in game theory), Intermediate Algebra, Introductory Statistics, Mathematical Modeling (for liberal arts students), Mathematical World (survey course for liberal arts students), Mathematics for Elementary School Teachers, Precalculus, and Quantitative Reasoning.
 UpperLevel Mathematics: Applied Linear Algebra, Biomathematics, Combinatorics and Discrete Models, Conjecture and Proof, Differential Equations, Discrete Optimization, Game Theory, Graph Theory, Linear Algebra, Linear Programming, Probability and Statistics, Mathematical Modeling, Numerical Analysis, Probabilistic Methods of Operations Research, Real Analysis, and Senior Seminar.
 Computer Science: Advanced Programming, Data Structures, Introduction to Computer Science, Operating Systems, Programming Techniques, Senior Seminar (ethics), and Theory of Computation.
 Management Information Systems: Mathematics for Information Systems, Visual Basic Programming.
 Independent Studies Mentored: Apportionment, Cryptography, Game Theory, Halflife game programming, Mathematical biology, Number Theory, OpenGL graphics, and Real Analysis.
Solutions for Partially Defined Coalition Games, Mathematical Association of America Invited Paper Session on Fair Division, Joint Mathematics Meetings, Seattle, Washington, January 69, 2016.
Teaching Math: What Technology Should Do, What People Should Do, Mennonite High School Instructional Technology Meeting, Goshen College, May 1, 2015.
Maple Scholars Program, Undergraduate Research in Mathematics: How, When, Why Contributed Paper Session, MathFest, Portland, Oregon, August 69, 2014.
Modeling a Biological Auction, Valparaiso University, July 12, 2013.
A Game Theory Path to Quantitative Literacy, fourhour Mathematical Association of America Minicourse, Joint Mathematics Meetings, San Diego, California, January 912, 2013; MathFest, Madison, Wisconsin, August 24, 2012; Joint Mathematics Meetings, New Orleans, Louisiana, January 49, 2011; MathFest, Pittsburgh, Pennsylvania, August 57, 2010; MathFest, Portland, Oregon, August 68, 2009; Joint Mathematics Meetings, Washington, DC, January 58, 2009; MathFest, Madison, Wisconsin, July 29 to August 2, 2008.
Fair Allocation, twohour student workshop, Indiana Section of the Mathematical Association of America, Ball State University, March 2324, 2012.
Use of Writing in Mathematics Courses, Project NeXT Panel Discussion, Indiana Section of the Mathematical Association of America, University of Indianapolis, October 22, 2011.
Four Games in Forty Minutes, Maple Scholars Celebration Day, July 29, 2010.
A Biological Auction, Valparaiso University, July 8, 2010.
Games Mathematicians Play, Goshen College Convocation, May 17, 2010.
An Extremely Simple Fair Division Problem (or How to Divide a Chocolate Bar When Different People Value it Differently), Goshen College Science Speakers, October 13, 2009.
Game theory and the math curriculum, Economic Games and Mechanisms to Address Climate Change, Mathematical Sciences Research Institute, May 46, 2009.
Modeling a Biological Auction, Indiana Section of the Mathematical Association of America, IUPUI, March 2021, 2009.
Strategic and cooperative games, Kappa Mu Epsilon National Mathematics Honor Society at Butler University, November 11, 2008.
Values for partition function form games, GAMES 2008: the Third International Congress of the Game Theory Society, Northwestern University Kellogg School of Business, July 1417, 2008.
Strategic and cooperative games, threehour student workshop, Indiana Section of the Mathematical Association of America, St. Mary’s College, March 2829, 2008.
Games, theory, and experiment, Science, Technology, Engineering, and Mathematics Colloquium, Valparaiso University, March 26, 2008.
Fair allocation, Communicating Mathematics Conference, University of Minnesota, Duluth, July 1619, 2007.
Fair division with money, Goshen College Science Speakers Series, September 7, 2005.
Fair division with money, Kappa Mu Epsilon National Mathematics Honor Society at Butler University, December 9, 2004.
Values for partially defined cooperative games, Indiana, Illinois, and Kentucky TriSection of the Mathematical Association of America meeting, University of Evansville, November 56, 2004.
Solutions for partially defined cooperative games, International Conference on Game Theory, at SUNY Stony Brook, July 1216, 2004.
Congressional apportionment, Pi Mu Epsilon induction ceremony, RoseHulman Institute of Technology, May, 2004.
Fair division with money, Manchester College, November 2003.
A beautiful mind: some game theory of John Nash, student workshop, Indiana Section of the Mathematical Association of America meeting, Butler University, March, 2003.
Getting the most for your vote, Manchester College, November 2001.
Exploring the relationship between students’ learning strategies and their views on the nature of mathematical proof, 5th Annual Conference on Research in Undergraduate Mathematics Education, Chicago, September 2000.
Proof schemes and learning strategies of aboveaverage mathematics students, Research Presession of the 78^{th} Annual Meeting of the National Council of Teachers of Mathematics, Chicago, April 2000 (with Mary Porter).
The mathematics of congressional apportionment, American Association for the Advancement of the Sciences, Washington, DC, February 2000; Indiana Section of the Mathematical Association of America meeting, Earlham College, April 2000.
What convinces aboveaverage mathematics students?, Indiana Section of the Mathematical Association of America meeting, Valparaiso University, October 1999 (with Mary Porter).
Strategic and cooperative game theory, student workshop, Indiana Section of the Mathematical Association of America meeting, Indiana University, March, 1999; Purdue University, October, 1999.
Fair allocation, Indiana Section of the Mathematical Association of America meeting, St. Mary’s College, November 1998.
Models of Conflict and Cooperation, American Mathematical Society, 2009 (with Rick Gillman).
Fair allocation methods for coalition games, Communicating Mathematics, Timothy Y. Chow and Daniel C. Isaksen (eds.), American Mathematical Society, 2009 , 127156.
Worked examples and concept example usage in understanding mathematical concepts and proofs, Making the Connection: Research and Teaching in Undergraduate Mathematics Education, Marilyn Carlson and Chris Rasmussen (Eds.), Mathematical Association of America, 2008, 245252 (with Keith Weber and Mary Porter).
Proof schemes and learning strategies of aboveaverage mathematics students, Educational Studies in Mathematics 53 (2003), 139 – 158 (with Mary Porter).
Linear and symmetric values for partially defined cooperative games, International Journal of Game Theory 30 (2001) 377 – 404.
Cooperative game theory REU, Proceedings of the Conference on Summer Undergraduate Mathematics Research Programs, Joseph A. Gallian, Ed., American Mathematical Society (2000) 55 – 57.
Core and monotonic allocation procedures, International Journal of Game Theory 27 (1998) 611 – 616 (with Lori Clark).
Facilitating learning events through example generation, Educational Studies in Mathematics 33 (1997) 283299 (with Randall P. Dahlberg).
Observations from both sides of the fence, Models for Undergraduate Research in Mathematics (Lester Senechal, Editor), Mathematical Association of America, 1991.
Infinite player noncooperative games and the continuity of the Nash equilibrium correspondence, Mathematics of Operations Research 13 (1988) 488 – 496.
Book Review of “Game Theory in the Social Sciences” by Martin Shubik, International Journal of Game Theory 14 (1985) 205 – 206.
Reapportionment by weighted voting, Cornell OR&IE Technical Report #533, January 1982 (with William Lucas, John Maceli, and Michael Hilliard).
Apportionment: reflections on the politics of mathematics, Engineering: Cornell Quarterly 16 (1982) 16 – 22 (with William Lucas).
Enumeration of hamiltonian paths in Cayley diagrams, Aequationes Mathematicae 23 (1981) 80 – 97.
Förster transfer rates for Chlorophyll a, Photochemistry and Photobiology 29 (1979) 1163 – 1167 (with Lester Shipman).
20132018
National Science Foundation – Principle Investigator for “Leaf Scholars: Growing Success in Science, Informatics and Mathematics for FirstGeneration Students” (CoPIs John Ross Buschert, Kent Palmer, Ryan Sensenig, and Daniel Smith)
20032005
Mathematical Association of America, Strengthening Underrepresented Minority Mathematics Achievement Program – Principle Investigator for”Fair Division and Cooperative Game Theory”
19901994
National Science Foundation – Principle Investigator for “Cooperative Game Theory Research Experience for Undergraduates”
19881990
National Science Foundation – Principle Investigator for “Pure and Applied Discrete Mathematics Research Experience for Undergraduates” (CoPIs M. Halsey, B. Servatius and P. Christopher)
Consortium for Mathematics and Its Applications (1985present)
 Mathematical Competition in Modeling Faculty Advisor (1986present)
Council on Undergraduate Research (1990present)
 Councilor (19901999)
 Secretary, Mathematical and Computer Sciences Division (19901995)
 Chair, Data and Statistics Committee (19941997)
Game Theory Society (1998present)
Mathematical Association of America (1979present)
 CUPM Subcommittee on Undergraduate Research (19901993)
 Student Chapter Faculty Advisor (19941997)
 Institutional Liaison (19941997)
 Indiana Section Secretary (20012008)
 Indiana Section Governor (20082011)
 Indiana Section Distinguished Service Award (2009)
 Contributed Paper Sessions Committee Member (20092012)
 Contributed Paper Sessions Committee Chair (20122015)
 Status of the Profession Committee Member (20102013)
 Indiana Section Outreach Coordinator (2015present)
National Council of the Teachers of Mathematics (20092015)
Pi Mu Epsilon (1986present)
 Chapter Faculty Advisor (19861989, 1993, 19951997)
Science Olympiad (2000present)
 Event Supervisor (20002006, 20092010, 20122015)
 Regional Tournament CoDirector (2010present)
 Indiana Membership Director (2015present)
 Professor of Mathematics and Computer Science, Goshen College, 1998present
 Assistant Professor of Mathematics, Allegheny College, 19931998
 Assistant Professor of Mathematics, Drew University, 19891993
 Assistant Professor of Mathematical Sciences, Worcester Polytechnic Institute, 19841989
 Postdoctoral Fellow, Institute for Mathematics and its Applications, 19831984