Mathematics educators have many different opportunities to reflect leadership throughout their careers. High quality doctoral programs provide a rich and stimulating environment that supports the development of leadership qualities. This paper describes some ways that leadership can be fostered in doctoral programs in mathematics education.

This paper discusses variation in reasoning strategies among expert mathematicians, with a particular focus on the degree to which they use examples to reason about general conjectures. We first discuss literature on the use of examples in understanding and reasoning about abstract mathematics, relating this to a conceptualisation of syntactic and…

This article offers an account of a doctoral insider research project that became problematic. The project was investigating mathematics teaching in a university in the UK, and by contrasting the research account with research diary entries pertaining to two interviewees, different interpretations of the interview data are evident. These…