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Pedagogical Content Knowledge for Simulations and Mathematical Modelling with Digital Tools: A Quasi-Experimental Study with Pre-Service Mathematics Teachers

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Title: Pedagogical Content Knowledge for Simulations and Mathematical Modelling with Digital Tools: A Quasi-Experimental Study with Pre-Service Mathematics Teachers
Language: English
Authors: Jascha Quarder (ORCID 0000-0001-6490-3936), Gilbert Greefrath (ORCID 0000-0002-8322-5111), Sebastian Gerber (ORCID 0000-0002-0614-2777), Hans-Stefan Siller (ORCID 0000-0003-1597-7108)
Source: ZDM: Mathematics Education. 2025 57(2-3):395-409.
Availability: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Peer Reviewed: Y
Page Count: 15
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Simulation, Mathematical Models, Technological Literacy, Preservice Teacher Education, Mathematics Education, Educational Technology
DOI: 10.1007/s11858-025-01673-4
ISSN: 1863-9690
1863-9704
Abstract: This study investigates the promotion of pedagogical content knowledge for simulations and mathematical modelling with digital tools among pre-service teachers. This knowledge can be described as modelling-specific TPaCK in the context of digital tools. In a quasi-experimental design, three groups of pre-service teachers (N = 230) were analysed and compared over four semesters. Experimental Group 1 attended a course on simulations and mathematical modelling with digital tools, Experimental Group 2 attended a course on mathematical modelling without the use of digital tools and the control group attended mathematics education courses without specific reference to modelling or digital tools. The results show that TPaCK was promoted significantly more in the group that worked with digital tools than in the other two groups in its four theoretically and empirically derived dimensions (theory knowledge, task knowledge, process knowledge and intervention knowledge). This study confirms that courses specifically designed for digital tools can effectively promote the modelling-specific TPaCK of pre-service mathematics teachers in all four dimensions. The results underscore the importance of integrating digital tools into teacher training and show that general pedagogical knowledge for modelling is not sufficient without a focus on digital tools to build pedagogical knowledge for simulations and mathematical modelling with digital tools.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1493384
Database: ERIC
FullText Text:
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  Data: Pedagogical Content Knowledge for Simulations and Mathematical Modelling with Digital Tools: A Quasi-Experimental Study with Pre-Service Mathematics Teachers
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  Data: <searchLink fieldCode="AR" term="%22Jascha+Quarder%22">Jascha Quarder</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-6490-3936">0000-0001-6490-3936</externalLink>)<br /><searchLink fieldCode="AR" term="%22Gilbert+Greefrath%22">Gilbert Greefrath</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-8322-5111">0000-0002-8322-5111</externalLink>)<br /><searchLink fieldCode="AR" term="%22Sebastian+Gerber%22">Sebastian Gerber</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-0614-2777">0000-0002-0614-2777</externalLink>)<br /><searchLink fieldCode="AR" term="%22Hans-Stefan+Siller%22">Hans-Stefan Siller</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-1597-7108">0000-0003-1597-7108</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22ZDM%3A+Mathematics+Education%22"><i>ZDM: Mathematics Education</i></searchLink>. 2025 57(2-3):395-409.
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  Data: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
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  Data: 10.1007/s11858-025-01673-4
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  Data: 1863-9690<br />1863-9704
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  Data: This study investigates the promotion of pedagogical content knowledge for simulations and mathematical modelling with digital tools among pre-service teachers. This knowledge can be described as modelling-specific TPaCK in the context of digital tools. In a quasi-experimental design, three groups of pre-service teachers (N = 230) were analysed and compared over four semesters. Experimental Group 1 attended a course on simulations and mathematical modelling with digital tools, Experimental Group 2 attended a course on mathematical modelling without the use of digital tools and the control group attended mathematics education courses without specific reference to modelling or digital tools. The results show that TPaCK was promoted significantly more in the group that worked with digital tools than in the other two groups in its four theoretically and empirically derived dimensions (theory knowledge, task knowledge, process knowledge and intervention knowledge). This study confirms that courses specifically designed for digital tools can effectively promote the modelling-specific TPaCK of pre-service mathematics teachers in all four dimensions. The results underscore the importance of integrating digital tools into teacher training and show that general pedagogical knowledge for modelling is not sufficient without a focus on digital tools to build pedagogical knowledge for simulations and mathematical modelling with digital tools.
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