Abstract
The German discussion about modelling and applications in school has a long tradition. In this topical survey, we consider the development from the beginning of the 20th century until today and discuss the term mathematical model as well as different representations of the modelling process. The various tendencies of the historical and current debate on applications and modelling can be differentiated as perspectives on modelling. Nowadays modelling is one of the six general mathematical competencies of the educational standards for mathematics that were introduced in Germany beginning in 2003, and there have been many initiatives to implement modelling into school and carry out a whole range of empirical research projects with the focus on teachers or students in modelling processes. As a special way of implementing modelling into schools, modelling days or weeks carried out by various German universities have been established.
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