Speaker

• Keith Weber (Rutgers)

Abstract

Some mathematics education researchers have investigated how mathematicians practice their craft, with an eye toward designing instruction. The purpose of this talk is to discuss four methodologies that are common in mathematics education, but unusual in the philosophy of mathematical practice, for investigating mathematicians’ behavior. These methods include: (i) open-ended interviews, (ii) large-scale surveys; (iii) task-based interviews; and (iv) controlled experiments. I will highlight affordances of these methodologies that can complement and strengthen the research undertaken by philosophies in mathematical practice. Symmetrically, I will discuss how the philosophy of mathematical practice literature can help mitigate weaknesses in mathematics education research on mathematical practice.