This survey provides an overview of the German discussion on
modelling and applications in schools. It considers the development
from the beginning of the 20th century to the present, and
discusses the term "mathematical model" as well as different
representations of the modelling process as modelling cycles.
Different trends in the historical and current debate on
applications and modelling can be differentiated as perspectives of
modelling. Modelling is now one of the six general mathematical
competencies defined in the educational standards for mathematics
introduced in Germany in 2003, and there have been several
initiatives to implement modelling in schools, as well as a whole
range of empirical research projects focusing on teachers or
students in modelling processes. As a special kind for implementing
modelling into school, modelling weeks and days carried out by
various German universities have been established.
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