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A model for the role of the physical environment in mathematics education
Dalarna University, School of Technology and Business Studies, Microdata Analysis.ORCID iD: 0000-0003-0768-7143
Stockholm University.ORCID iD: 0000-0001-9742-8908
2018 (English)In: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 3, no 1Article in journal (Refereed) Published
Abstract [en]

In this paper, we develop an analytical tool for the role of the physical environment in mathematics education. We do this by extending the didactical triangle with the physical environment as a fourth actor and test it in a review of literature concerning the physical environment and mathematics education. We find that one role played by the physical environment, in relation to mathematical content, is to portray the content in focus, such as geometry and scale. When focusing on teachers, students, and the interaction between them, the role of the physical environment appears to be a precondition, either positive (enabling) or negative (hindering). Many of the findings are valid for education in general as well, such as the importance of building status.

Place, publisher, year, edition, pages
2018. Vol. 3, no 1
National Category
Didactics
Research subject
Research Profiles 2009-2020, Complex Systems – Microdata Analysis
Identifiers
URN: urn:nbn:se:du-27463OAI: oai:DiVA.org:du-27463DiVA, id: diva2:1197054
Available from: 2018-04-11 Created: 2018-04-11 Last updated: 2025-10-09Bibliographically approved
In thesis
1. Teaching mathematics in a physical environment: Act, react, or avoid?
Open this publication in new window or tab >>Teaching mathematics in a physical environment: Act, react, or avoid?
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis aims to contribute to the body of knowledge regarding teachers’ experience of and perspective on the elements and aspects of the physical environment connected to teaching and learning in general and in mathematics in particular. Teachers are an underutilised source of knowledge in research on the physical environment. In mathematics education, this research is often limited to tools and artefacts.

The data in the thesis comes from semi-structured interviews with mathematics teachers, a systematic literature search for mathematics research related to the physical environment, and an online survey where teachers assessed classroom descriptions for teaching adequacy. The interview data was analysed using narrative analysis and content analysis. The research publications from the literature search were analysed with an extension of the didactical triangle as an analytical tool. This tool was also used to analyse the interview data a second time. Conjoint analysis was used to analyse the data from the online survey.

The thesis makes two methodological contributions. The first is the extension of the didactical triangle, which makes the interactions between the teacher, the students, the learning content, and the elements and aspects of the physical environment visible. The second is the novel application of conjoint analysis, which enables the analysis of the relative importance of a few seemingly equally important aspects of the physical school environment.

The results contribute to understanding three types of situations. Under enabling physical conditions, teachers can act as desired, and under hindering conditions, they react and adjust the activity or avoid it altogether. The results also show that classroom acoustics, spaciousness, and freedom of movement are most important for teachers.

In conclusion, this understanding of the role of the physical environment in the teaching and learning situation is vital for daily educational practice.

Place, publisher, year, edition, pages
Falun: Dalarna University, 2024
Series
Dalarna Doctoral Dissertations ; 39
Keywords
Physical environment, Classroom situation, School building, Teacher perspective, Mathematics education, Extended didactical triangle, Conjoint analysis
National Category
Didactics
Identifiers
urn:nbn:se:du-48762 (URN)978-91-88679-76-5 (ISBN)
Public defence
2024-10-18, lecture hall F135, campus Falun, 13:00 (Swedish)
Opponent
Supervisors
Available from: 2024-08-12 Created: 2024-06-18 Last updated: 2025-10-09Bibliographically approved

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Fahlström, Magnus

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