Preservice teachers’ mathematical knowledge for teaching combinatorial thinking

International audienceIn the paper, we conceptualize Mathematical Knowledge for Teaching as introduced and elaborated by Ball et al. (2008) for the topic of combinatorics using Lockwood (2013) model of combinatorial thinking. We developed test consisting of three combinatorial problems and 6 connected tasks (for each problem) focused on the Common Content Knowledge (CCK), Specialized Content Knowledge (SCK), Knowledge of Content and Students (KCS) and Knowledge of Content and Teaching (KCT) to answer our research question: What are the differences in the combinatorial PCK between preservice teachers with regard to their combinatorial CK? We analyse and discuss data collected from 10 preservice teachers concerning one of the combinatorial problems and its connected tasks