How to Develop Pedagogical Content Knowledge for Teaching Mathematics at University

Document Type : Research Paper

Abstract

Faculty members are engaging with three important roles at university including teaching, research and services. However, the main focus of higher education on research has caused the neglect of teaching among faculty members. This is resulted in lack of information about what and how to develop teaching knowledge in different higher education disciplines. As well, teaching knowledge is practical in nature and that, contributed to the complexity of its study. Among different models, pedagogical content knowledge (PCK) model was chosen to study the nature of mathematics instructors’ teaching knowledge at higher education level. The data were collected through semi-structured interviews, with a number of university mathematics instructors. The data were analyzed using phenomenology. The analysis revealed that university mathematics teachers develop their pedagogical content knowledge, through some resources including model making, repeating courses, mathematics textbooks, students, colleagues, and their prior experiences as student, educational resources and mentoring.  Moreover, the direction of PCK development is from content to learner and considering these resources towards the development of PCK, yet needs another factor as reflection on action, is influencial.
 

Keywords


گال، بورگ و گال. (2003). روش­های تحقیق کمی و کیفی. ترجمه الف. نصر و همکاران (1386)، انتشارات دانشگاه شهید بهشتی و سمت.
ویلیس، ج. (1991). پژوهش پدیدارشناختی: ادراکات زیست جهان. در روش شناسی مطالعات برنامه درسی، الف شورت (1991). ترجمه محمود مهرمحمدی و همکاران (1387)، انتشارات سمت.
Brogt, E. (2009). Pedagogical and curricular thinking of professional astronomers teaching the Hertzsprung- Russell diagram in introductory astronomy courses for non-science major. Unpublished PhD dissertation, University of Arizona.
Counts, M. C. A. (1999). Case study of a college physics professor's pedagogical content knowledge. Unpublished PhD dissertation, Gorgia State University.
D'Andrea, V. & Gosling, D. (2005). Improving teaching and learning in higher education. Open University Press.
Gess-Newsome, J.; & Lederman, N. G. (2002). Examining pedagogical content knowledge. Netherlands: Kluwer Academic Publishers.
Grossman, P.L. (1990). The making of a teacher: Teacher knowledge & teacher education. New York: Teachers College Press.
Lenze, L. & Dinham, S. (1994). Examining pedagogical content knowledge of college faculty new to teaching. Paper presented at annual meeting of AERA.
Lenze, L.(1995). The pedagogical content knowledge of faculty relatively new to college teaching. Unpublished PhD dissertation, Graduate School, Illinois.
Park, S.; & Oliver, S. (2008). Revising the conceptualization of pedagogical content knowledge (PCK): PCK as a conceptual tool to understand teachers as professionals. Research in Science Education. Vol 38. No 3. Springer Publication.
Shulman, L.S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2). 4-14.
Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57. 1-22.