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Coordinating conceptual frameworks for an in-depth understanding of knowledge when teaching mathematics
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-8616-5783
2022 (English)In: Proceedings of the Twelfth Congress of European Research in Mathematics Education (CERME12), ERME / Free University of Bozen-Bolzano , 2022, p. 2954-2961Conference paper, Published paper (Refereed)
Sustainable development
SDG 4: Ensure inclusive and equitable quality education and promote lifelong learning opportunities for all
Abstract [en]

This paper is methodological and theoretical, focusing on how teachers' knowledge in action and interaction when teaching mathematics can be explored. The two conceptual frameworks adopted, The Knowledge Quartet and the Pedagogical Relational Teachership, are coordinated, as they grasp disparate aspects of knowledge in action and interaction when teaching mathematics. An empirical example is given to illustrate how these two conceptual frameworks can be adopted in coordination with each other. The results show that the coordination of these two conceptual frameworks used as a methodological framework can contribute to a deeper understanding of the characteristics of teachers' pedagogical content knowledge and relational abilities when teaching mathematics.

Place, publisher, year, edition, pages
ERME / Free University of Bozen-Bolzano , 2022. p. 2954-2961
Keywords [en]
mathematics education, mathematics teaching, networking frameworks, relational abilities, teachers' knowledge
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-117594OAI: oai:DiVA.org:lnu-117594DiVA, id: diva2:1711688
Conference
Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy
Funder
Swedish Research Council, 2017-06039Available from: 2022-11-17 Created: 2022-11-17 Last updated: 2023-11-06Bibliographically approved
In thesis
1. Teaching for Inclusive Mathematics Education: methodological, theoretical and empirical explorations
Open this publication in new window or tab >>Teaching for Inclusive Mathematics Education: methodological, theoretical and empirical explorations
2023 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

From an inclusive perspective in mathematics education, the aim of this Ph.D. thesis is to gain profound knowledge of didactical and relational aspects of mathematics teaching concerning students’ participation in mathematics education. The overarching research questions delve into methodological and theoretical aspects that enable the study of enacted mathematical and relational knowing of teachers, as well as how mathematical and relational knowing supports inclusion in mathematics for students. Three studies were conducted. The first study investigated the possibilities of various data collection methods to document mathematics teachers’ reflections on mathematical and relational knowing in mathematics education. The second study aimed to gain theoretical and empirical insights into teachers’ mathematical and relational knowing, as well as into students’ participation in mathematics. The third study examined earlier research regarding how co-teaching organized mathematics education can contribute to inclusion. These three studies generated four publications that answered the overarching research questions. The methodological and theoretical findings emphasize the complexity involved in exploring inclusive mathematics education. Understanding mathematical and relational knowing of teachers requires abroad conceptual framework that considers how these forms of knowing come into play when teaching. The coordinated conceptual frameworks used have core elements connected to the situated nature of inclusive mathematics education. These frameworks are based on contextual factors that focus on how and when teaching materials, mathematical examples and connections are used. They also consider the particular teacher-student interactions that occur in the moments of teaching. Hence, from a special didactic perspective, it is essential to emphasize not only the ‘what, ‘how,’ and ‘why’, but also the ‘when’ question, considering both mathematical and relational knowing in the context of inclusion in mathematics. Furthermore, findings show that if students are to be didactically included, meaning they participate in mathematics within the community of classroom mathematics, it appears important for teachers to enact mathematical and relational knowing simultaneously, whether distributed between one or two teachers in a co-teaching setting. Moreover, co-teaching does not automatically lead to didactical inclusion. However, if all students’ learning is the point of departure and the teachers, together or individually, enact mathematical and relational knowing, this can contribute to didactical inclusion.

Place, publisher, year, edition, pages
Linnaeus University Press, 2023. p. 151
Series
Linnaeus University Dissertations ; 510
Keywords
inclusive mathematics education, mathematics teaching, networking strategies, mathematical knowing, relational knowing, students’ participation
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-125487 (URN)10.15626/LUD.510.2023 (DOI)9789180820936 (ISBN)9789180820943 (ISBN)
Public defence
2023-11-30, Lapis, Kalmar, 13:00 (English)
Opponent
Supervisors
Funder
Swedish Research Council, 2017-06039
Available from: 2023-11-06 Created: 2023-11-06 Last updated: 2025-03-12Bibliographically approved

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Gardesten, Malin

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf