What is Inverted Classroom

A comprehensive three-layer concept of constructively aligned preparatory mathematics courses in a German higher education institution and its implementation are presented. The core of it is a virtual inverted-classroom course featuring learning videos and auto-adapting computer-assisted self-study training modules. This virtual course was developed in response to the pandemic and implemented for the first time in the year 2020. An evaluation was performed on three different levels and with three different approaches: a quantitative analysis of the mathematical performance gains, a qualitative analysis of the students' perspectives on the courses, and the analysis of the usage data of the auto-adapting training modules. It turned out that these courses are comparable to previous years face-to-face courses in terms of the students' satisfaction with the courses and their growth in mathematical skills as well as in terms of the knowledge gains. The process of designing, planning, executing, and evaluating this virtual course will be illustrated in this chapter.