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Exploring algebraic task dynamics, pre-service teachers’ reasoning and sense-making
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0001-5753-444X
Skogsborgsskolan, Sweden.
2024 (English)In: Proceedings of the 47th Conference of the International Group for the Psychology of Mathematics Education. Auckland, New Zealand, 7 -21 July, 2024 / [ed] Tanya Evans, Ofer Marmur, Jodie Hunte, Generosa Leach and Jyoti Jhagroo, 2024, Vol. 1, p. 1p. 157-157Conference paper, Oral presentation with published abstract (Refereed)
Sustainable development
SDG 17: Strengthen the means of implementation and revitalize the global partnership for sustainable development
Abstract [en]

Researchers highlight the critical role of algebraic reasoning and sense-making in developing students’ conceptual understanding of mathematics. Consequently understanding and developing pre-service teachers’ own reasoning and sense-making abilities are essential for developing students’ algebraic skills. In this presentation, we present the results of a study in which we explore pre-service teachers’ reasoning and sense-making in algebra across two distinct types of tasks: problem-solving concerning growing patterns and problem-posing tasks involving first-degree equations. The research question guiding the analysis is: Which opportunities do different tasks provide for pre-service teachers’ reasoning and sense-making, and how do pre-service teachers utilize these opportunities in their reasoning and sense-making? The studyinvolved 79 pre-service primary teachers taking a mandatory written exam as part of amathematics teacher education course. The analysis applied a qualitative/interpretative methodology, utilizing variation theory and assemblage theory as analytical frameworks (Deleuze & Guattari, 1987; Marton, 2015; Olteanu, 2022). Key analytical tools - lines of flight, segmentarity, and rupture - inform diverse connections. The study results indicate that problem-solving and problem-posing tasks offer dynamic opportunities for connecting reasoning and sense-making among pre-service teachers. This connection is characterized by essential actions in reasoning like selecting, exploring, abstracting, encoding, and connecting information, while sense-making involves recognition, relationship identification, comparison, explanation, and verification. Pre-service teachers utilize these opportunities through the interplay of lines of flight, which provide new ways for reasoning and sense-making that enable the distinction of critical aspects. While pre-service teachers connect reasoning andsense-making by segmentarity and rupture in problem-solving tasks, they do this by employing segmentarity in problem-posing tasks. Segmentarity restricts changes i npre-service teachers’ reasoning and sense-making, thus limiting the distinction of critical aspects, while rupture leads to transformation or introduces new opportunities for distinguishing critical aspects.

Place, publisher, year, edition, pages
2024. Vol. 1, p. 1p. 157-157
Series
Proceedings of the International Groups for the Psychology of Mathematics Education, ISSN 0771-100X
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-131545PubMedID: 2-s2.0-85200378463OAI: oai:DiVA.org:lnu-131545DiVA, id: diva2:1885940
Conference
Proceedings of the 47th Conference of the International Group for the Psychology of Mathematics Education. Auckland, New Zealand, 7 -21 July, 2024
Note

Felaktigt ISBN i publikationen: 978-1-0670278-1

Available from: 2024-07-28 Created: 2024-07-28 Last updated: 2025-11-20Bibliographically approved

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Olteanu, Constanta

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CiteExportLink to record
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Citation style
  • apa
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