Abstract
I report the results of a three-year study into my own teaching of preservice
secondary mathematics teachers in a combined 15-week methods and practicum course (60
class contact hours and 180 hours field placement). I have two main goals for my students. First
is to develop their understanding of the art of “teaching for understandingâ€. Second is to
develop their ability to think reflectively. One activity completed each week is the reporting and
writing of a critical incident reflective journal. At the start of each weekly methods class,
groups of three or four students report their critical incidents to each other, then choose one
incident to report to the whole class. They submit a written report of ten critical incidents for
grading. I have collected these journals for three years, and have 34 journals, with over 320
incidents reported. I have analysed the journals and found that the issues raised by students
focus on four main areas: teaching and classroom management; student factors such as prerequisite
knowledge, understanding, resistance and motivation; issues concerning relationships
with colleagues, students and parents; and school organizational issues such policies and access
to resources. Through this Round Table presentation, I would like to solicit collaborators to
undertake similar activities with their preservice teachers, so that we could combine our data
and broaden the applicability of our findings across a wider range of contexts. The ultimate goal
of my investigation is to improve the course to better meet the needs of my students.