Course content

The course addresses the use of mathematical modelling to study and answer questions related to extra-mathematical systems. It provides a professional foundation for integrating modelling into mathematics teaching for Grades 8-13 in schools. Through working on modelling systems from other subject areas, such as physics, biology or environmental science, emphasis is placed on interdisciplinary perspectives and acquiring the necessary insight to address the given question. The theoretical framework for the course is the Anthropological Theory of the Didactic, which offers a structured approach to modelling in a didactic context. Key concepts include: the dialectic of systems and models, the definition of systems by identifying relevant properties, variables and parameters; the construction and analysis of models, and reversibility and recursivity as fundamental aspects of modelling.

Learning outcome

Knowledge: Upon completing the course, the student should have in-depth knowledge of mathematical modelling as a tool for studying and addressing questions related to extra-mathematical systems. The student should also have insight into how interdisciplinary perspectives can be integrated into modelling. Furthermore, the student should have knowledge of the Anthropological Theory of the Didactic as a theoretical framework for modelling in a didactic context.

Skills: The student should be able to define and delineate systems by identifying relevant properties, variables, and parameters related to associated questions. Furthermore, the student should be able to construct and analyse mathematical models that can be used to address these questions, as well as apply principles of reversibility and recursivity in modelling. Finally, the student should be able to plan modelling activities in mathematics teaching for Grades 8-13, with an emphasis on developing pupils’ mathematical competence through using modelling to study phenomena in the world they inhabit.

Learning methods and activities

Lectures, seminars, modelling activities, and student presentations.

Parts of this course can be taught in English.

Compulsory assignments

• 80% attendence
• Written report from a modelling activity
• Presentations of preliminary reports

Specific conditions

Required previous knowledge

A minimum of 60 credits in mathematics and completion of at least 30 credits of the Professional Subject are required.

Course materials

Some material is specified at the start of the semester, while the rest is determined by works related to the modelling of the systems studied in the course.