Design Science and Its Importance in the German Mathematics Educational Discussion

Within the German-speaking tradition, considering “mathematics education as a design science” has primarily drawn on the work by Wittmann. The core of this approach has been designing and investigating learning environments that involve substantial mathematics. This ICME-13 Topical Survey summarises the state of the art by first exploring the roots and scope of design science. Second, two examples of current design science projects are presented that focus on substantial learning environments, including a student and a teacher perspective. Then, conceptualising empirical research within design science is elaborated on. Finally, developments of design science are examined from a national and international perspective and current trends of design research are also discussed.