This article provides detailed analysis, from a radical
constructivist perspective, of a sequence of letter-writing exchanges between a
preservice secondary mathematics teacher and a high school student. This
analysis shows the ways in which the preservice teacher gained understanding of
the high school studentŐs mathematics and attempted to pose tasks accordingly,
leading to a fruitful mathematical exchange. In addition, this article also
considers the same exchange from what could be considered broadly as a situated
perspective towards learning. We conclude by suggesting that these perspectives
could be considered compatible within this study if a distinction is made
between the studentŐs point of view and the researcherŐs.