TY  - JOUR
A1  - Siller, Hans-Stefan
A1  - Elschenbroich, Hans-Jürgen
A1  - Greefrath, Gilbert
A1  - Vorhölter, Katrin
T1  - Mathematical modelling of exponential growth as a rich learning environment for mathematics classrooms
T2  - ZDM Mathematics Education
N2  - Mathematical concepts are regularly used in media reports concerning the Covid-19 pandemic. These include growth models, which attempt to explain or predict the effectiveness of interventions and developments, as well as the reproductive factor. Our contribution has the aim of showing that basic mental models about exponential growth are important for understanding media reports of Covid-19. Furthermore, we highlight how the coronavirus pandemic can be used as a context in mathematics classrooms to help students understand that they can and should question media reports on their own, using their mathematical knowledge. Therefore, we first present the role of mathematical modelling in achieving these goals in general. The same relevance applies to the necessary basic mental models of exponential growth. Following this description, based on three topics, namely, investigating the type of growth, questioning given course models, and determining exponential factors at different times, we show how the presented theoretical aspects manifest themselves in teaching examples when students are given the task of reflecting critically on existing media reports. Finally, the value of the three topics regarding the intended goals is discussed and conclusions concerning the possibilities and limits of their use in schools are drawn.
KW  - basic mental models
KW  - exponential growth
KW  - mathematics classrooms
KW  - mathematical modelling
KW  - growth models
Y1  - 2023
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/32439
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-324393
SN  - 1863-9690
VL  - 55
IS  - 1
ER  -