Mathematical modelling. A philosophy of science perspective
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Publication date
01.10.2023
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Type
04A - Book part
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Parent work
Ongoing advancements in philosophy of mathematics education
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Issue / Number
Pages / Duration
309–329
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Springer
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Cham
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Abstract
Since research on mathematical modelling in the classroom is rather not directly related to philosophical findings on models in sciences, this chapter links the (analytical) philosophy of science and mathematics education research. In the following, the question of what influence the philosophy of science might have on the discourse about modelling in mathematics education research will be explored. To this end, ontological and epistemological questions about the status of mathematics in its relation to reality will be considered. In particular, this chapter questions the separation between mathematics and reality or the “rest of the world”, which is often found in mathematics education research on modelling, against the background of the syntactic and the semantic view of models and theories. It is argued that the syntactic view more accurately captures the connection between mathematics and reality by distinguishing between theoretical and observational terms of a theory. Moreover, the distinction provides a tool to analyse students’ utterances more precisely.
Keywords
Philosophy of mathematics education, Analytical philosophy, Modelling cycle
Subject (DDC)
370 - Erziehung, Schul- und Bildungswesen
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ISBN
978-3-031-35208-9
978-3-031-35211-9
978-3-031-35211-9
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Language
English
Created during FHNW affiliation
Yes
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Publication status
Published
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Peer review of the complete publication
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Closed
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Citation
SCHÜRMANN, Uwe, 2023. Mathematical modelling. A philosophy of science perspective. In: Maria Aparecida Viggiani BICUDO, Bronislaw CZARNOCHA, Maurício ROSA und Małgorzata MARCINIAK (Hrsg.), Ongoing advancements in philosophy of mathematics education. Cham: Springer. S. 309–329. ISBN 978-3-031-35208-9. Verfügbar unter: https://irf.fhnw.ch/handle/11654/44417