Jonathan Troup teaches mathematics education and mathematics classes at California State University, Bakersfield, serving pre-service teachers and math majors. He specializes in Research in Undergraduate Mathematics Education (RUME) and focuses on pedagogy through embodied and integrative activities, including manipulatives and various kinds of technology. Connecting equivalent parts of different representations (e.g. algebra and geometry, or virtual and physical) is a prevalent theme in his research. He sees math as an inexhaustible source of puzzles and entertainment as well as a rigorous, dependable way of making sense of the world, and tuning minds to sensing isomorphic structures across domains. He frames math as the exploration of what happens when you pick any axioms you like and then seeing what happens. He tries to highlight both structural and procedural concepts in his teaching.
In his spare time, he likes playing board games, reading books, and watching ocean waves.