@phdthesis{Dreher2015, author = {Anika Dreher}, title = {Dealing with multiple representations in the mathematics classroom - Teachers' knowledge, views, and their noticing}, url = {https://nbn-resolving.org/urn:nbn:de:bsz:lg1-opus4-610}, year = {2015}, abstract = {In the last three decades many research studies focused on the topic of multiple representations and their role for learning mathematics. As a result, there is a broad consensus in the scientific community that dealing with multiple representations in the mathematics classroom is a highly relevant matter. However, research addressing the role of the teachers in this context is still scarce. Consequently, this dissertation study raises the question of how much teachers know about and acknowledge this key role of multiple representations for the mathematics classroom. To this end, not only different aspects of teachers' specific professional knowledge and their views were investigated, but also their noticing of changes of representations in instances of student-teacher interaction, which can be seen as a theme-specific noticing. Using a multi-layer model of professional knowledge, this study addresses in particular questions of how such specific aspects of professional knowledge are interrelated and what components of knowledge and views play a role for the teachers' theme-specific noticing. These research interests were addressed in the scope of three substudies, each of them including two different subsamples (English pre-service teachers/German pre-service teachers, pre-service teachers/in-service teachers, respectively in-service teachers at academic track secondary schools/in-service teachers at secondary schools for lower attaining students), in order to explore the possible roles of cultural background, teaching experience, and school types. The different aspects of specific professional knowledge and views were assessed by means of a questionnaire instrument. For eliciting the teachers' theme-specific noticing, vignette-based questions were implemented. The data was analyzed mainly by quantitative methods, was however complemented by a qualitative in-depth analysis focusing on how the teachers' theme-specific noticing was informed by different components of their professional knowledge. The results of this study suggest that the participants did not fully understand the key role of multiple representations for learning mathematics in the sense of their discipline-specific signicance and thus indicate specific needs for teacher education and professional development. Differences between the subsamples of teachers became apparent especially regarding the teachers' more situated professional knowledge and their noticing with respect to dealing with multiple representations. Furthermore, the findings of this study underpin the assumption that within the spectrum between teachers' situated and global professional knowledge and views regarding dealing with multiple representations, different components may be distinguished and suggest that in particular all of these components may play a role for teachers' theme-specific noticing.}, language = {en} }