Writing to Convince: Uncovering Reasoning in the Mathematics
Classroom
Reasoning
is a vital part of mathematics. The
process and products of reasoning appear at every step of mathematical work,
whether implicitly or explicitly.
Unfortunately, when reasoning is kept hidden, students fail to develop a
thorough understanding of their mathematical work. When reasoning is explicit, however, students engage more
thoughtfully and actively in learning.
This presentation explores the use of “Writing to Convince” in an
undergraduate mathematics course as a means of making reasoning an overt
feature of the class. Results of using
such a technique are presented along with suggestions for creating a classroom
environment that is conducive to such work.