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Mathematical Modelling as a Professional Task

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Title: Mathematical Modelling as a Professional Task
Language: English
Authors: Frejd, Peter, Bergsten, Christer
Source: Educational Studies in Mathematics. Jan 2016 91(1):11-35.
Availability: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Peer Reviewed: Y
Page Count: 25
Publication Date: 2016
Document Type: Journal Articles
Reports - Research
Descriptors: Mathematical Models, Mathematics Activities, Interviews, Professional Personnel, Coding, Grounded Theory, Data Analysis, Computer Use, Expertise
DOI: 10.1007/s10649-015-9654-7
ISSN: 0013-1954
Abstract: 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.
Abstractor: As Provided
Number of References: 58
Entry Date: 2015
Accession Number: EJ1083420
Database: ERIC
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  Data: Mathematical Modelling as a Professional Task
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  Data: <searchLink fieldCode="AR" term="%22Frejd%2C+Peter%22">Frejd, Peter</searchLink><br /><searchLink fieldCode="AR" term="%22Bergsten%2C+Christer%22">Bergsten, Christer</searchLink>
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  Data: <searchLink fieldCode="SO" term="%22Educational+Studies+in+Mathematics%22"><i>Educational Studies in Mathematics</i></searchLink>. Jan 2016 91(1):11-35.
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  Data: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
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  Data: <searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Activities%22">Mathematics Activities</searchLink><br /><searchLink fieldCode="DE" term="%22Interviews%22">Interviews</searchLink><br /><searchLink fieldCode="DE" term="%22Professional+Personnel%22">Professional Personnel</searchLink><br /><searchLink fieldCode="DE" term="%22Coding%22">Coding</searchLink><br /><searchLink fieldCode="DE" term="%22Grounded+Theory%22">Grounded Theory</searchLink><br /><searchLink fieldCode="DE" term="%22Data+Analysis%22">Data Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+Use%22">Computer Use</searchLink><br /><searchLink fieldCode="DE" term="%22Expertise%22">Expertise</searchLink>
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  Data: 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.
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      – SubjectFull: Computer Use
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      – SubjectFull: Expertise
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