250056 VO School mathematics 3 (Applied mathematics) (2015S)

Modelling is one of the competencies, which are dominating the current discussion in mathematics education. Contributions to this topic include almost all fields of (school-)mathematics (from stochastics, discrete mathematics, game theory, number theory,
biomathematics to the classical approaches in analysis and algebra) and all levels. The central theme in this variety of contents and complexities is the so called modelling cycle: first a real situation must be simplified and structured to get a real model. Then via mathematizing this model will be translated into the language of mathematics, a mathematical model is formed. Now it could be possible to use mathematical methods to find solutions. These solutions have to be interpreted in relation to the real model. Last but not least a validation with respect to the original situation must happen. If it is not satisfying, the cycle will be passed once again with (slightly) changed parameters, conditions etc. In this course many different school relevant examples will be presented to demonstrate, analyse, discuss and reflect this process. Furthermore, some aspects of numerical mathematics, which play a role in school, should complete this lecture.