Research at the Institute of Mathematics rests on two pillars: the research focus on the didactics of mathematics for all levels of the education chain and applied mathematics.

• In the didactics of mathematics, didactically oriented teaching-learning environments (also in the context of mathematical student laboratories) are developed and mathematical teaching-learning processes are empirically researched.
• The research focus within the framework of applied mathematics is mathematical modeling.
• The links between these two research areas are manifold. They result in particular from the common interest in the networking of forms of representation, the use of new technologies and problem solving. These aspects are each examined from their own unique perspectives.