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Teaching mathematics in a physical environment: Act, react, or avoid?
Dalarna University, School of Teacher Education, Mathematics Education. Dalarna University, School of Teacher Education, Educational Work.ORCID iD: 0000-0003-0768-7143
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Description
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 [en]
Physical environment, Classroom situation, School building, Teacher perspective, Mathematics education, Extended didactical triangle, Conjoint analysis
National Category
Didactics
Identifiers
URN: urn:nbn:se:du-48762ISBN: 978-91-88679-76-5 (print)OAI: oai:DiVA.org:du-48762DiVA, id: diva2:1872156
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: 2024-08-12Bibliographically approved
List of papers
1. Mathematics teachers’ conceptions of the classroom environment
Open this publication in new window or tab >>Mathematics teachers’ conceptions of the classroom environment
2017 (English)In: Teaching and Learning in Maths Classrooms: Emerging Themes in Affect-related Research: Teachers' Beliefs, Students' Engagement and Social Interaction / [ed] Chiara Andrà, Domenico Brunetto, Esther Levenson, Peter Liljedahl, Springer, 2017, p. 141-151Chapter in book (Refereed)
Abstract [en]

This study explores mathematics teachers’ conceptions of how the physical environment in classrooms affects their students’ chances for learning. Semi structured interviews were performed with a few Swedish teachers with experience from tackling different physical settings when teaching mathematics. When analysing the interview transcripts preliminary findings are that: teachers appreciate flexibility and control over the physical settings in the classroom; inadequate acoustics are extra problematic in mathematical activities involving verbal interactions between students in small groups; mathematics task solving in peace and quiet is a common part of mathematics lessons and it easily gets disturbed by external noise.

Place, publisher, year, edition, pages
Springer, 2017
Series
Research in Mathematics Education
National Category
Didactics
Research subject
Research Profiles 2009-2020, Complex Systems – Microdata Analysis
Identifiers
urn:nbn:se:du-25202 (URN)10.1007/978-3-319-49232-2_14 (DOI)000434860200014 ()978-3-319-49231-5 (ISBN)978-3-319-49232-2 (ISBN)
Available from: 2017-06-16 Created: 2017-06-16 Last updated: 2024-08-12Bibliographically approved
2. A model for the role of the physical environment in mathematics education
Open this publication in new window or tab >>A model for the role of the physical environment in mathematics education
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.

National Category
Didactics
Research subject
Research Profiles 2009-2020, Complex Systems – Microdata Analysis
Identifiers
urn:nbn:se:du-27463 (URN)
Available from: 2018-04-11 Created: 2018-04-11 Last updated: 2024-08-12Bibliographically approved
3. Mathematics teachers and the role of physical environment
Open this publication in new window or tab >>Mathematics teachers and the role of physical environment
2022 (English)In: The relation between mathematics education research and teachers’ professional development: Proceedings of MADIF 13 / [ed] Linda Mattsson, Johan Häggström, Martin Carlsen, Cecilia Kilhamn, Hanna Palmér, Miguel Perez, Kerstin Pettersson, Göteborg, 2022, p. 45-55Conference paper, Published paper (Refereed)
Abstract [en]

The physical environment (PE) affects the teaching and learning in school. Research is conclusive that different characteristics of PE can be enabling or hindering learningactivities. Still, we need to know more about the role of PE in mathematics education to utilize what a good PE can offer and to avoid the hindering situations. The aim of this study is to characterize the different roles PE play in relation to the teacher, the student, the learning content, and their interactions. For this, mathematics teachers’ stories about their experiences of PE in teaching are analysed. The results show that teachers often try to prevent disturbances or distractions from insufficiencies in PE. The results also suggest that aspects of classroom PE, such as classroom layout, sustain classroom norms whereas other elements in PE can be an aid in breaking norms.

Place, publisher, year, edition, pages
Göteborg: , 2022
Series
Skrifter från Svensk förening för MatematikDidaktisk Forskning, ISSN 1651-3274 ; 16
National Category
Didactics
Identifiers
urn:nbn:se:du-42755 (URN)978-91-984024-5-2 (ISBN)
Conference
The thirteenth research conference of the Swedish Society for Research in Mathematics Education Växjö, March 29–30, 2022
Available from: 2022-09-23 Created: 2022-09-23 Last updated: 2024-08-12Bibliographically approved

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