Acknowledging the contribution of mathematicians to the mathematical education of teachers, we explore mathematicians' perspective on an envisioned Calculus course for prospective teachers. We analyzed semi-structured interviews with 24 mathematicians using the EDW (Essence-Doing-Worth) framework (Hoffmann & Even, 2018, 2019); and…

We explore prospective elementary-school teachers' attempts to provide signs and symbols with mathematical meaning in a case involving non-integers as numerator or denominator. The data comprises 33 responses to a task inquiring about the existence of numbers between 1/6 and 1/7, in which the participants were asked to compose a hypothetical…

A significant body of research literature in mathematics education attends to mathematical proofs. However, scant research attends to proof comprehension, which is the focus of this study. We examine perspective secondary teachers' conceptions of what constitutes comprehension of a given proof and their ideas of how students' comprehension can be…

We introduce "virtual duoethnography" as a novel research approach in mathematics education, in which researchers produce a text of a dialogic format in the voices of fictional characters, who present and contrast different perspectives on the nature of a particular mathematical phenomenon. We use fiction as a form of research linked to…

This study focuses on instances of creativity in the design of Lesson Play tasks and in prospective teachers' responses to the tasks. A Lesson Play task assumes a theatrical interpretation of the word "play" and requires teachers to write a script for an imaginary interaction between a teacher-character and student-characters, attending…