
CEP913: The Psychology and Pedagogy of Mathematics, Fall 2007
(Being revised for Fall 2011) 
Mathematics is an ancient subject, with a long history of attention to learning and teaching. The modern field of mathematics education dates back over 100 years in the United States. In this course, we will read some of the historical  and still relevant and important  literature, and we will survey some recent research. Since the field is broad and old, we cannot realistically get an overview of what has been studied and learned, but we will try to sample where the field has been, where it is now, and what issues are considered important today.
The goals of the course are to help you gain:
1) An understanding of what is meant by "psychology" as distinct from other fields of study in mathematics education.
2) Familiarity with the history of research in the psychology of mathematics, and particularly with important results from earlier decades;
3) Familiarity with current issues of interest to the mathematics education community;
4) Knowledge of the major journals, monographs, and conferences that address the psychology and pedagogy of mathematics

Required Texts 
Carpenter, T. P., Dossey, J. A., & Koehler, J. L. (Eds.). (2004). Classics in mathematics education research . Reston, VA: The National Council of Teachers of Mathematics, Inc.
Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up : helping children learn mathematics . Washington, DC: National Research Council, Mathematics Learning Study Committee, National Academy Press. 
Recommended Texts 
American Psychological Association. (2001). Publication manual of the American Psychological Association (5 ed.). Washington, DC: American Psychological Association.
OR
Perrin, Robert (2007). Pocket Guide to APA Style .
************** Baroody, A., & Dowker, A. (2003). The development of arithmetic concepts and skills: Constructing adaptive expertise. Mahwah, NJ: Lawrence Erlbaum.
Hiebert, J. (1986). Conceptual and procedural knowledge: The case of mathematics. Mahwah, NJ: Lawrence Erlbaum Associates.
Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum.
Resnick, L. B., & Ford, W. W. (1981). The psychology of mathematics for instruction. Mahwah, NJ: Lawrence Erlbaum.
Skemp, R. R. (1971/1987). The psychology of learning mathematics (Expanded American edition). Mahwah, NJ: Lawrence Erlbaum.

Syllabus (Web site) 

