During my career in higher education, I have taught a wide variety of courses, on topics ranging from linear algebra to mathematics for primary school teachers. For a complete list, please see my c.v.
My approach to teaching emphasizes several major themes:
- Interactive Technology
Computers can help students visualize abstract concepts and explore computationally difficult applications. I build special interactive apps for my students to deepen their understanding of the material we cover in class. Past topics of these apps include: linear transformations, solutions of linear systems, Fourier transforms, image processing, Turing patterns, spatial point processes, art and music.
- Interdisciplinary undergraduate research
At the University of Nebraska, I led two interdisciplinary undergraduate research programs. Each program spanned multiple semesters, and involved teams of students from diverse backgrounds. These programs help students discover how mathematics can be a powerful tool for scientific discovery.
- Mathematics for the liberal arts
I work hard to make mathematics relevant to all students, whether they are studying business, literature, or psychology. I want students to leave my class with an appreciation of the usefulness of mathematics, and with confidence in their mathematical skills.
- Communicating mathematics
I emphasize the importance of communicating mathematical ideas, not just calculating solutions. In lower-division courses, my students learn to write well about mathematics, and to verbally explain their mathematical reasoning. In upper-division courses, I focus on teaching the critical skill (and art) of writing proofs.
- Promoting mathematics for underrepresented groups
I actively encourage students from traditionally underrepresented groups to pursue careers in mathematics and science. Diversity benefits everyone!
- Mathematics for future teachers
Primary and secondary school teachers perform some of the most important jobs in the world. I feel privileged to participate in the training of future teachers.
Any success I have had as a teacher is directly attributable to my wonderful students. Based on the number of brilliant, hard-working, and generous young people I have encountered, our world has a very bright future!