Abstract
This chapter presents the findings of analyses testing whether and to what extent mathematics teachers’ content knowledge and pedagogical content knowledge systematically impact the quality of their instruction and, in turn, their students’ learning progress. Analyses based on a representative sample of grade 10 classes and their mathematics teachers showed that teachers’ pedagogical content knowledge was theoretically and empirically distinguishable from their content knowledge. Multilevel structural equation models revealed a substantial positive effect of pedagogical content knowledge on students’ learning gains that was mediated by the provision of cognitive activation and individual learning support.
This chapter is based on the following article: Baumert, J.; Kunter, M.; Blum, W.; Brunner, M.; Dubberke, T.; Jordan, A.; … Tsai, Y.-M. (2010). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47 (1), 133–180, Copyright 2010 by American Educational Research Association (Reprinted by permission of SAGE Publications, Inc.)
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Baumert, J., Kunter, M. (2013). The Effect of Content Knowledge and Pedagogical Content Knowledge on Instructional Quality and Student Achievement. In: Kunter, M., Baumert, J., Blum, W., Klusmann, U., Krauss, S., Neubrand, M. (eds) Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers. Mathematics Teacher Education, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-5149-5_9
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