Mathematical Knowledge for Teaching
It was Shulman’s Presidential Address at the 1985 annual meeting of the American Educational Research Association, and its publication the following year, that placed content knowledge in and for teaching firmly on the educational research, policy, and practice agenda. Shulman developed this focus from a critique of research on teaching at the time, arguing that attention is needed as much to “the content aspects of teaching as we have recently devoted to the elements of teaching process” (1986, p. 8) and elaborated three components that in concert comprise the professional knowledge base of teaching: subject matter knowledge (SMK), pedagogic content knowledge (PCK), and curriculum knowledge.
We expect that the subject matter content understanding of the teacher be at least equal to that of his or her lay colleague, the mere subject matter major. The teacher need not only understand that something is...
KeywordsMathematical knowledge for teaching Professional knowledge Lee Shulman Deborah Ball
- Adler J, Ball D (2009) (eds) Special issue: knowing and using mathematics in teaching. Learn Math 29(3):2–3Google Scholar
- Ball D, Thames M, Phelps G (2008) Content Knowledge for teaching: what makes it special? J Teach Educ 59(5):389–407Google Scholar
- Baumert J, Kunter M, Blum W, Brunner M, Voss T, Jordan A, Tsai Y (2010) Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. Am Educ Res J 47(1):133–180Google Scholar
- Hill H, Rowan B, Ball D (2005) Effects of teachers’ mathematical knowledge for teaching on student achievement. Am Educ Res J 42(2):371–406Google Scholar
- Hill H, Blunk M, Charalambos C, Lewis J, Phelps G, Sleep L et al (2008) Mathematical knowledge for teaching and the mathematical quality of instruction: an exploratory study. Cognit Instr 26(4):430–511Google Scholar
- Klein F (1933) Elementarmathematik vom ho¨heren Standpunkte aus (Elementary mathematics from a higher viewpoint). Springer, BerlinGoogle Scholar
- Ma L (1999) Knowing and teaching elementary mathematics: teachers’ understandings of fundamental mathematics in China and the United States. Lawrence Erlbaum Associates, MahwahGoogle Scholar
- Rowland T, Ruthven K (eds) (2011) Mathematical knowledge in teaching. Springer, DordrechtGoogle Scholar
- Shulman L (1986) Those who understand: knowledge growth in teaching. Educ Res 15(2):4–14Google Scholar
- Shulman L (1987) Knowledge and teaching: foundations of the new reform. Harv Educ Rev 57(1):1–22Google Scholar