- Student, Individually Paced Mathematics Sequence (St. Mary's, 1980)
- Teaching Assistant (1982-1984)
- Instructor - Number Theory; Abstract Algebra; Self-Paced Math; Computer Science (Lancaster, 1985-1997; 2002-2009)
1 summer as a student, 24 summers on staff. Crabfest Too many to list! After the very last class one summer, as I was walking out the door, an exceptionally talented student approached me and asked, “Can you teach me one more thing?” Also, as a TA, staying up until 4am playing bridge. CTY students give back an enormous amount of energy. They do not hesitate to show their enthusiasm for the subject. Setting an appropriate pace during lectures and class discussions can be challenging. There are always a few students who get everything right away. It’s important to keep these students engaged even while other students are struggling to understand a new concept. I try to help my students see the beauty of mathematics. The course emphasizes rigorous mathematical proofs. CTY students, like professional mathematicians, get excited by the idea that you can prove interesting mathematical truths (theorems) using logic and a good bit of cleverness. Often the proof is just as beautiful as the theorem itself.
In class, we read a proof that Euclid wrote over 2000 years ago. The logic is just as valid today as it was centuries ago. CTY is a place of limitless intellectual curiosity. I serve as the Katharine Piggott Professor of Mathematics at Reed College in Portland, OR. This year, I am on leave researching quantum computing at UCSD with Professor David Meyer, who I met when he was teaching math at CTY and serving as a CTY dean back in the early to mid 1980’s. We’ve been working together professionally since 2002. And my book just came out! Number Theory, A Lively Introduction with Proofs, Applications, and Stories, Wiley, 2010. Based on the CTY Number Theory course, this college-level textbook provides a rigorous yet accessible introduction to elementary number theory along with relevant applications. A unique feature of the book is that every chapter includes a math myth, a fictional story that introduces an important number theory topic in a friendly, inviting manner. Some of these myths are based on skits performed regularly as part of the CTY Number Theory class. |