Group Actions: From their Conception to the Classroom
There is a well-established tradition in math education of leveraging the history of mathematics when developing innovative curriculum. In this talk, I will discuss the historical development of the idea of a group acting on a set. I will also share findings from an interview analysis I conducted with undergraduate students in abstract algebra. This analysis focused on exploring how students may conceptualize group actions. The rationale for this project is to inform curriculum design.