The article contributes to the ongoing discussion on ways to deal with the diversity of theories in mathematics education research. It introduces and systematizes a collection of case studies using different strategies and methods for networking theoretical approaches which all frame (qualitative) empirical research. The term 'networking strategies' is used to conceptualize those connecting strategies, which aim at reducing the number of unconnected theoretical approaches while respecting their specificity. The article starts with some clarifications on the character and role of theories in general, before proposing first steps towards a conceptual framework for networking strategies. Their application by different methods as well as their contribution to the development of theories in mathematics education are discussed with respect to the case studies in the ZDM-issue.
We rely on discussions initiated at CERME4 and continued at CERME5 to compare, contrast and combine in a coherent way different theoretical frameworks currently used in mathematics education, with the eventual aim of networking between theoretical approaches. Specifically, we chose for this purpose the theory of didactic situations (TDS), the nested epistemic actions (RBC+C) model for abstraction in context (AiC), and the theoretical approach of interest-dense situations (IDS). As an example, we focus on how each of these frameworks is taking into account social interactions in learning processes. We identified not only connections and contrasts between the frameworks but also additional insights, which each of these frameworks can provide to each of the others. We also present some methodological reflections about the process of networking different theoretical approaches.
We report insights from a design research study in higher education that aims at overcoming pre-service teachers’ experiences of fragmentation in their educational programmes. The design approach started from the assumption that fragmentation could be reduced by initiating and conducting boundary crossing between practices in subject matter and subject matter didactics courses at university. Following this assumption, the design principle of boundary crossing by design(ing) for interlinking subject matter and subject matter didactics (domain-specific pedagogy) was implemented in two subjects in pre-service teacher education at university, one in mathematics and one in English language teaching. The linking between subject matter and subject matter didactics we strive for is two-fold: On the one hand, it requires curricular and organisational dovetailing of the courses involved (boundary crossing by design); on the other hand, it requires a study space where students are urged to try to interlink the courses’ contents in their thinking and acting (boundary crossing by designing). Following this design principle, a nested design approach is developed in which students’ designs of teaching practice is interlocked with the design of courses at university level. In this paper, we illustrate two kinds of findings by empirical examples: a conditional model for the intertwined realisation of the two types of linking, and interlinking strategies as heuristics for the pre-service teachers’ thinking and acting.
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