Abstract:
This paper presents the ways that reflective questions were used to develop pre-service
mathematics teachers’ understanding of metric and topological spaces. In particular, the
purpose of developing PSTs’ understanding of metric and topological spaces is that
understanding these mathematical concepts leads to PSTs’ understandings on how to teach and
learn geometrical figures in mathematics classes after completion of their degree programs.
This paper details the interpretation of the PSTs’ reflections on metric and topological spaces.
From PSTs’ reflections, it was found that reflective questions helped individual PSTs to
develop their understanding of matric and topological spaces, including giving the meaning of
metric and topological spaces, and relating with real objects available in their daily
environment. The findings have implications in teaching and learning metric and topological
spaces.
