The MaP-symposium is a follow-up of the MEA-symposium on Mathematical Evidence and Argument held in Bremen in 2017. The issues discussed in Bremen, elaborated in resulting papers (ZDM-special issue, articles online first see https://link.springer.com/journal/11858/onlineFirst), made obvious that different understandings of mathematics as a practice strongly influence our notions of mathematical argumentation and proof. We follow this line of thought in putting “Mathematics and Practice” as a focal point of interest of the 2019 symposium in Rostock. It embraces mathematics and argumentative, discursive practices, mathematics as a cultural practice, practices of interaction, mathematics as a scientific practice, education practices, and so forth. Various disciplines today already contribute research that can help to elaborate such a multifaceted picture of “mathematics” as a manifold of human practices. These include the philosophy of mathematical practice, the history and sociology of mathematics, and mathematics education.

The aim of the symposium is now twofold:

• First, we want to bring results and perspectives from such research to-gether, to fathom and foster ways of interdisciplinary gain and theory development regarding research questions, methods, and results. This shall also include discussion on “refraction phenomena” caused by the use of multiple lenses on the subject, e.g., by expectable differences in the use and understanding of the notion of practice.
• Second, we want to discuss in how far, and by what means, a fresh and multifaceted picture of mathematics and practice can and should be disseminated in education.