We need a critical mathematics. Our ability to enact social change through teaching mathematics and through critical research in mathematics education is severely limited by the canon of mathematical knowledge and the ideology that declares mathematical knowledge as certain. In this dissertation I extend Carspecken's critical action theory to…

A fundamental component of research on learning is understanding processes of performance. One typical method of studying how and why people perform in particular ways is to record audio or video of those processes. Research methodologies that rely on audio or video data start with recording phenomena (events) researchers are interested in. After…