Anyone teaching mathematics is in a pivotal and privileged position, training the next generation of mathematicians, natural and social scientists, humanists, and artists. In the mathematics community, we sometimes talk about pedagogical practices, but rarely talk about the theories underlying those practices. In this talk, I present some of the fundamentals of the science of teaching and learning, applying them to mathematics. I then demonstrate how I have translated these principles into a pedagogical design for my online Discrete Mathematics courses for this coming fall semester, including lecture components, assessments, student interaction, and more.
Chad M. Topaz, Williams College, Dept. of Mathematics and Statistics