Mathematics for practice

The content of the teacher training course includes applications from optimization and statistics, the development of "didactically optimal" tasks and the presentation of suitable software.

Prof. Dr. Jan Gertheiss

Data analysis and visualization with the help of R

The ability to prepare and analyze self-collected or otherwise obtained data is becoming increasingly important. R is a widely used, freely available statistical software that offers countless possibilities for visualizing and analysing data. In addition, R can be used excellently to illustrate typical content of mathematics lessons, especially stochastics. The workshop will provide an introduction to R using examples.

OstR Alexander Tschakert (Grotefend-Gymnasium Münden)

The task is to blame?!

Using numerical examples of typical school mathematics topics, the influence of the choice of concrete numbers in calculation examples on the understanding of concepts and procedures will be demonstrated. The quality of numerical examples is not only compared intuitively, but also assessed using measurable criteria. Finally, the question of "perfect examples" is addressed.

Prof. Dr. Stephan Westphal

Linear optimization with GLPK

Why did the current Bundesliga season start with a match between Bayern and HSV? How does an airline actually set the prices for its flights? Why does my train always arrive at 16:30? Why did I have to wait 42 minutes for the yellow angel from the ADAC? Why is there never a timetable that everyone is happy with? Behind these and many other questions are planning problems that are solved with the help of linear optimization. Linear optimization is one of the most versatile and powerful solution methods in mathematical optimization. It is also relatively easy to apply, so that amazing results can be achieved with little effort. On this day, we will learn what a linear optimization problem is. We will then model a series of practical problems as so-called "linear programs" and then solve them using the free GLPK (GNU Linear Programming Kit) software.

Program

09.30 - 09.45Welcome
09.45 - 10.45The task is to blame?! (Alexander Tschakert)
10.45 - 11.15Coffee break
11.15 - 12.45Linear optimization with GLPK (Prof. Stephan Westphal)
12.45 - 14.15Lunch break
14.15 - 15.45Data analysis and visualization with the help of R (Prof. Jan Gertheiss)
15.45 - 16.15Discussion and closing remarks

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