Characterising how research mathematicians conjecture: A case study

infinity This work belongs to the research field in mathematics education that studies the mathematical activities that research mathematicians develop when constructing mathematical knowledge. Specifically, the aim of this paper is to characterise the mathematical practice of conjecturing of this community of professionals. For this purpose, what a research mathematician uses and creates (in terms of Rasmussen et al., 2005) when conjecturing during her research is analysed. A case study methodological approach is adopted. The results of this study show the relevant role that examples play in the horizontal dimension of the mathematical practice of conjecturing, highlighting how and when those examples are used and created.