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Direct linkBarrett, Diane; Green, Kris – Science Educator, 2009
Despite the long history of the study of pedagogical content knowledge (PCK), two facts remain obvious. First, there are almost as many conceptions regarding the definition of PCK as there are researchers interested in it. Second, it is largely unclear which methods enable teacher educators to best prepare teacher candidates to use PCK. Recently,…
Descriptors: Preservice Teacher Education, Reflective Teaching, Teacher Researchers, Pedagogical Content Knowledge
Glass, Barbara; Maher, Carolyn A. – International Group for the Psychology of Mathematics Education, 2004
This paper reports on methods of students' justifications of their solution to a problem in the area of combinatorics. From the analysis of the problem solving of 150 students in a variety of settings from high-school to graduate study, four major forms of reasoning evolved: (1) Justification by Cases, (2) Inductive Argument, (3) Elimination…
Descriptors: Undergraduate Students, Graduate Students, Graduate Study, Problem Solving
