Matthew Leingang

Matthew Leingang is Clinical Associate Professor in the Mathematics Department of the Courant Institute of Mathematical Sciences. Since 2010 he has directed the department's undergraduate program as Vice Chair for Undergraduate Affairs. He has specialized in teaching calculus at the undergraduate level for over ten years, and since 2007 has managed the department's Clinical Faculty program. He studies and develops methods of integrating technology into undergraduate courses, including social and visual media. His work has been funded by the National Science Foundation and the Educational Advancement Foundation.

Professor Leingang earned a Ph.D. from Harvard in 2000. His thesis on generalizations of momentum was published in the Pacific Journal of Mathematics, and he has since authored papers in training of graduate student teachers and course materials for probability. His calculus textbook—the first to be developed completely within the online electronic medium—will be published by John Wiley & Sons in 2014.

Selected Publications by Matthew Leingang

Inquiries into Probability and Combinatorics

to appear in the Journal of Inquiry-Based Learning.

This paper presents materials for a course in probability using the Traditional Moore Method. In a Moore Method course there are no textbooks, only well-chosen problems, and no lectures, only student presentations. The problems in this course introduce set theory and combinatorics and develop probability through Bayes's Theorem and Markov Chains.

The Development of Pedagogical Content Knowledge in First-Year Graduate Teaching Assistants

in preparation

Pedagogical Content Knowledge (PCK) is the knowledge about teaching needed to teach mathematics, as opposed to the mathematical content taught. This paper studied a group of of graduate student teaching fellows before and after their first teaching assignment to determine the change in their PCK levels as they matured.

Symmetric Space Valued Moment Maps

Pacific Journal of Mathematics 212:103–123.

Momentum occurs when a physical space has symmetry. This paper showed that three independently developed theories of momentum could be unified within the same framework. The common framework was then classified to show that for irreducible symmetries the existing theories were the only possible ones.