Traditional education, employing lectures or telecommunicative instruction methods, has been very effective in providing topical facts. However, the development of student skills and thinking ability require higher levels of instruction and more opportunity to practice and apply acquired knowledge. As students progress through a particular…

In this paper I will explore three contrasting teaching and learning environments, including one in which students engage in a "dance of agency". I will move from a consideration of classroom practices to a contention that our work as researchers of mathematics education should pay more attention to teaching practices. Further, that understanding…