Mathematical Modelling of Exponential Growth as a Rich Learning Environment for Mathematics Classrooms

Autor/inn/en	Siller, Hans-Stefan; Elschenbroich, Hans-Jürgen; Greefrath, Gilbert; Vorhölter, Katrin
Titel	Mathematical Modelling of Exponential Growth as a Rich Learning Environment for Mathematics Classrooms
Quelle	In: ZDM: Mathematics Education, 55 (2023) 1, S.17-33 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Siller, Hans-Stefan) ORCID (Greefrath, Gilbert) ORCID (Vorhölter, Katrin)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1863-9690
DOI	10.1007/s11858-022-01433-8
Schlagwörter	Mathematical Models; Mathematical Concepts; COVID-19; Pandemics; Mathematics Instruction; Critical Thinking; Mass Media + Suchen Sie Ihr Suchwort? Mathematical model; Mathematisches Modell; Mathematics lessons; Mathematikunterricht; Kritisches Denken; Massenmedien
Abstract	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. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01