Mathematical knowledge for pre-service teachers
This presentation highlights Harel's notion of ways of thinking and its importance to learning mathematics. Examples of students' deficient ways of thinking are offered, categories of mathematical knowledge for teaching mathematics are presented, and relationships among ways of thinking, ways of understanding, and pedagogical content knowledge are discussed.
Kien H. Lim. "Mathematical knowledge for pre-service teachers" Proceedings of the US-Sino Workshop on Mathematics and Science Education: Common Priorities that Promote Collaborative Research. Murfreesboro, Tennessee. Jun. 2008.
Available at: http://works.bepress.com/kien_lim/7