Mathematical modelling of dynamical systems and implementation at school

Martin Bracke (1) , Jean-Marie Lantau

1 KOMMS, TU KL - Competence Centre for Mathematical Modelling in STEM-Projects in Schools, University of Kaiserslautern

Dynamical systems like a segway can be described by linear systems of ordinary differential equations of the form Obviously, modelling of dynamical systems at school is a huge mathematical challenge for students and teachers. Therefore, in a pilot study with a math course consisting of 12 students of grade 12, it was analysed if, and up to which depth, modelling projects of dynamical systems (using the example of a segway) can be implemented at school. The interdisciplinary project was based on the modelling cycle of Blum and Leiss (2007). First of all, we describe the implementation and results of the pilot study. Then, we outline the design of a follow up study that will be carried out during school year 2016/2017. In this part we formulate our research questions, mainly the design of teacher training with a special focus on teachers' attitudes, which are driven by the findings from the pilot.

Mots clés: Dynamical systems; interdisciplinary project; mathematical modelling

Domaines: Mathématiques [math]; Sciences de l'Homme et Société

Martin Bracke, Jean-Marie Lantau. Mathematical modelling of dynamical systems and implementation at school. CERME 10, Feb 2017, Dublin, Ireland. ⟨hal-01933489⟩