In this article, we explore the influence of mathematics graduate students' experiences with the teaching assistantships and texts that they encounter in their programs on their development and identity as teachers. We look to von Foerster's notion of trivial and non-trivial machines to interpret the graduate students' experiences and explain how…

Suggests an approach to the analysis of mathematical texts that makes use of linguistic theory to provide insights into how the language of a text may influence the ways in which readers make sense of it. Focuses on the ways in which teacher-readers may make sense of texts produced by students. Contains 33 references. (DDR)