3D printing can put a mathematical surface in the palm of your hand.

3D printing can put a mathematical surface in the palm of your hand.

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:

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. Promoting mathematics for underrepresented groups
    I actively encourage students from traditionally underrepresented groups to pursue careers in mathematics and science. Diversity benefits everyone!
  6. 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!