Critical Discourse Analysis (CDA) is an approach to analysing the discourses that operate in social contexts, such as classrooms in schools, and their material effects on people, such as teachers and learners. CDA offers a range of ways of engaging with the relationship between texts in context and the power they exercise. In this article, I overview key approaches and provide detail of Fairclough's (1992, 2003) textually-oriented, linguistic method of CDA, with an example from my own research. I offer a challenge for English teachers, as researchers, to "make strange" the familiar world of their classroom work, and in so doing, identify possibilities for productive change.