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Mathematical modelling as a professional task
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Educational Sciences. (Matematikdidaktik)
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Educational Sciences. (Matematikdidaktik)
2016 (English)In: Educational Studies in Mathematics, ISSN 0013-1954, E-ISSN 1573-0816, Vol. 91, no 1, 11-35 p.Article in journal (Refereed) Published
Abstract [en]

Educational research literature on mathematical modelling is extensive. However, not much attention has been paid to empirical investigations of its scholarly knowledge from the perspective of didactic transposition processes. This paper reports from an interview study of mathematical modelling activities involving nine professional model constructors. The research question was: How can mathematical modelling by professional mathematical model constructors be characterised? The analysis of our interview data inspired by the coding procedure of grounded theory led us to the description of three main types of modelling activities as a characterisation of mathematical modelling as a professional task. In data-generated modelling the models are developed principally from quantitative data drawing on no or only some assumed knowledge of the system being modelled, while in theory-generated modelling the models are developed based on established theory. In the third activity, model-generated modelling, the development of new models is based on already established models. For all types, the use of computer support and communication between clients, constructors and other experts are central aspects. Finally, the three types of modelling activities are related to existing theoretical descriptions of mathematical modelling and the relevance of the study for mathematical modelling in education is discussed.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 91, no 1, 11-35 p.
Keyword [en]
Mathematical modelling, Workplace mathematics, Computer support, Didactic transposition
National Category
Other Mathematics Probability Theory and Statistics Didactics
Identifiers
URN: urn:nbn:se:liu:diva-123280DOI: 10.1007/s10649-015-9654-7ISI: 000365752900006OAI: oai:DiVA.org:liu-123280DiVA: diva2:880095
Available from: 2015-12-09 Created: 2015-12-09 Last updated: 2016-01-22

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Frejd, PeterBergsten, Christer
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Mathematics and Applied MathematicsFaculty of Educational Sciences
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