Von der Idee einer mathematikdidaktischen Normenforschung

Mathematics education research is not only the science of mathematics education practice, but it is also the science for it. Research in mathematics education does not only aim at the theoretical study of mathematics education practice in its multiple types and forms, but it also wants to practically regulate, shape and improve it. Therefore, the methodological question arises as to how mathematics education research can do justice to its twofold research task: How can it proceed methodically if it wishes to do both a) study what is going on in mathematics education practice with theoretical ambitions and b) develop practical proposals for what ought to be going on in practice. It is precisely this methodological question that I would like to address in this paper using the example of research on norms of mathematics education practice. In this process, step by step, the idea of norm research in mathematics education will emerge, which unites the theoretical and the practical research direction of mathematics education research into a single research program.