Various studies have shown that epistemological beliefs affect personal learning and teaching performances. Therefore, epistemological beliefs have become an attractive object of research with different methods of survey. A distinction can be made between denotative and connotative aspects of beliefs, the former being reflected upon, explicit…

Results of international comparison studies show substantially better mathematics performance of the investigated Asian than European students from the early years on. A Taiwanese-German Research Program (TaiGer) engages in exploring differences and similarities in the educational system, in teachers' knowledge and beliefs and in teaching or…

Using multiple representations and changing between them is at the heart of the mathematics classroom; unconnected changes can, however, be obstructive for students' learning. In order to support students' learning with multiple representations, teachers have to link observed situation aspects with relevant professional knowledge, a competence we…

In this article, I discuss the status of teaching as a profession using Gardner and Shulman's framework emerging from their empirical examination of the professions in America and use Bernstein's sociology of knowledge to help explain how recontextualizing agents struggle to dominate the construction and interpretation of professionalism in…

Different conceptualizations exist about the components of the knowledge teachers need to teach mathematics with professional consciousness, and a researcher needs to describe and assess that knowledge. The fact, however, is that different conceptualizations respond to different needs, and thus, the variety is even a chance to develop the field…

This paper addresses an important task teachers face in class: the identification and support of creative and high-achieving students. In particular, we examine whether primary teachers (1) have acquired professional knowledge during teacher education that is necessary to foster creativity and to teach high-achieving students, and whether they (2)…

Teacher education systems worldwide are confronted with the essential question of how to foster both future teachers' theoretical and practical knowledge and to adequately enable future teachers to connect their theoretical and practical knowledge for teaching. This article investigates how future teachers acquire general pedagogical knowledge…

Teacher cognition is seen as an important factor for the quality of instruction and, accordingly, student learning of a subject. However, in-depth research on these relations can only be done if a sound theoretical model for subject-specific teacher cognition (knowledge and competence/practical skills) and corresponding measures are available.…

How individual characteristics affect the acquisition of knowledge in teacher education has been widely unexplored thus far. The "Teacher Education and Development Study--Learning to Teach Mathematics (TEDS-M)" provides a database for examining this research question across countries. Based on the Taiwanese and German sample of TEDS-M,…

Drawing on the work of L. S. Shulman (1986), the authors present a conceptualization of the pedagogical content knowledge and content knowledge of secondary-level mathematics teachers. They describe the theory-based construction of tests to assess these knowledge categories and the implementation of these tests in a sample of German mathematics…