Materials for teachers
Here you will find various teaching materials that originate both from the mathematics didactics team's own work and from selected student theses.
Linear functions: A learning paths that combines analog and digital learning environments from grade 8 onwards
In these materials you will find a complete teaching unit that was created by Luis Schlesier as part of his academic thesis under the supervision of Prof. A. Hoffkamp. After working out various functional relationships in factual contexts, proportional functions, the concept of slope and finally linear functions are developed. Analog worksheets are combined with digital worksheets, digital exercise formats including feedback and supporting videos. The material package consists of 9 worksheets, which can be downloaded in editable Word format as well as in pdf format.
To the material (zip file)
To the final thesis by L. Schlesier
Math-Nodes: A digital learning environment for working with composed functions
Math-Nodes.com is being developed by Nicolas Regel as part of his dissertation at the Chair. In the learning environment, functions are represented as machines that can be connected to each other with cables. The word machines offer a low-threshold and intuitive introduction to the concept of function and its basic properties (from grade 7). Function machines are the core of the learning environment. Here, complex functions can be explored step by step in their various representations (from year 10). A workbook matching the platform is available for download:
Digital learning environments from grade 10 for calculus lessons
On this page you will find some digital learning environments to promote functional thinking with regard to calculus concepts. You can download a suitable worksheet for each learning environment.
Daily exercises in math lessons for grades 4-10
Daily exercises as an integral part of many mathematics lessons should be designed in such a way that students can acquire solid general and content-related mathematical skills in the long term.
This collection of tasks is intended to support this endeavor by providing a variety of tasks grouped around mathematical guiding ideas. The tasks are kept short and simple. As a rule, they can be done orally. A daily exercise comprises eight tasks that can be adapted to the current situation at any time. Four daily exercises with the same focus are combined into one group.
Dr. Günter Ruprecht is responsible for editing, compiling, updating, expanding and publishing the collection of exercises.
Diagnosis and support in the learning area of rational numbers
Kristina Papajewski has developed 3 diagnostic sheets for the learning area of rational numbers as part of her scientific thesis, which record the general understanding of the number range and the skills in adding/subtracting and multiplying/dividing. The evaluation is carried out independently using a sample solution.
Based on this, an individual learning plan is created for further exercises. The exercise material is differentiated into a basic and a higher level.