Mathematicians might be interested in my research on mathematical reading in experts and undergraduate students. Several experimental and eye-movement studies are summarised in this AMS Notices article with Mark Hodds, Somali Roy and Matthew Inglis. The article discusses self-explanation training for mathematics students, and the image below shows the eye movements of a mathematician reading a mathematical argument.
Mathematicians who would like to better understand their students might be interested in my research-informed book for mathematicians with Adrian Simpson, and in my research-informed books for undergraduates.
I have won local and national teaching awards, and have recently given a talk entitled Tilting the Classroom: Engaging Students in Large Lectures at Reading, Leeds, Manchester, and the HoDoMs/HEA Induction Course for New Lecturers. See also other talks for mathematicians.