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This ICME-13 Topical Survey reviews the state-of-the-art by first
exploring the roots and scope of design science. Second, it
presents two examples of current design science projects that focus
on substantial learning environments including a student and a
teacher perspective. Subsequently, the book elaborates on how
empirical research can be conceptualised within design science.
Lastly, it explores developments in design science from a national
and international perspective, while also discussing current trends
in design research. Within the German-language tradition,
considering 'mathematics education as a design science' primarily
draws on the works of Wittmann. The core of this approach
constitutes designing and investigating learning environments that
involve substantial mathematics.
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