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Developing mathematical reasoning by using questions in a multilingual mathematics classroom
Malmö University, Faculty of Education and Society (LS), Department of Natural Science, Mathematics and Society (NMS). Malmö University, Disciplinary literacy and inclusive teaching.ORCID iD: 0000-0002-8533-5058
2018 (English)In: Nordisk matematikkdidaktikk, NOMAD: [Nordic Studies in Mathematics Education], ISSN 1104-2176, Vol. 23, no 3-4, p. 61-79Article in journal (Refereed) Published
Abstract [en]

In this paper, students’ questions while working in small groups on mathematical problem-solving tasks are investigated. In order to improve students’ reasoning and communication abilities in mathematics, an intervention study was designed in a multilingual upper secondary mathematics classroom in Sweden. In their discussions students used Swedish, which was their second language and also the language of instruction. The changes in students’ ways of using questions across the three cycles of the intervention were analysed. The results showed how students over the cycles changed their ways of framing questions from looking for the correct answer towards clarifying other students’ meaning in order to understand each other’s reasoning. The implication from the study is that it is important to promote interactions between students rather than focusing on students’ need to develop their second language competencies.

Place, publisher, year, edition, pages
National centre for mathematics education, University of Gothenburg , 2018. Vol. 23, no 3-4, p. 61-79
Keywords [en]
student interaction, mathematics education
National Category
Didactics
Identifiers
URN: urn:nbn:se:mau:diva-3586Local ID: 27045OAI: oai:DiVA.org:mau-3586DiVA, id: diva2:1400389
Available from: 2020-02-28 Created: 2020-02-28 Last updated: 2022-01-14Bibliographically approved
In thesis
1. Promoting mathematical dialogue: students’ and teachers’ listening, questioning and participation
Open this publication in new window or tab >>Promoting mathematical dialogue: students’ and teachers’ listening, questioning and participation
2022 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [sv]

In Swedish mathematics classrooms, students have different opportunities to participate in mathematical dialogue, and therefore also different opportunities to learn. This is a problem not only for students, but also for teachers, school developers, and researchers. By moving back and forth between two settings – the upper secondary mathematics classroom and the professional development group – this thesis aims to explore how questioning and listening can promote participation in mathematical dialogue. The following three research questions are in focus: What aspects of students’ questioning and listening do teachers need to pay attention to when promoting students’ participation in mathematical dialogue? What aspects of teachers’ questioning and listening are important when teachers promote students’ participation in mathematical dialogue? How can teachers, in cooperation with researchers, develop an awareness and refine their teaching in relation to students’ listening, questioning, and participation in mathematical dialogue?

By using educational design research, two sub-studies were conducted – one with a focus on students and one with a focus on teachers – and the results were described in four articles. Theories on three different levels were used and coordinated to understand mathematical dialogue: sociocultural theory to situate the research study on an overall level where interaction and communication are essential; the concept of mathematical dialogue by Alro and Skovsmose (2004), including their Inquiry Co-operation model to understand quality in mathematical dialogue; and local theories to study facets of mathematical dialogue concerning questioning, listening, and participation.

The results point to how important both students’ and teachers’ questions are for creating equitable participation opportunities, and how teachers can promote mathematical dialogue by using pre-thought specific mathematical why-questions that invite all students to participate in small groupproblem-solving work. The results also point to the importance of working with productive listening, a process that requires both requests for listening and willingness to listen to others. For teachers to develop an awareness and to refine their teaching in relation to mathematical dialogue, the cyclic structure of EDR, working with teacher noticing and moving back and forth between the two settings, help visualize their development processes.

The main contributions of the thesis are (1) the framework for productive listening, (2) the empirical results concerning how mathematical questioning is used to promote students’ participation in mathematical dialogue, and (3) the learnings of how mathematics education theories can be used and coordinated to increace understandings on mathematical dialogue. At the end of the thesis, a meta-reflection is made on how collaboration between different actors – students, teachers, school developers and researchers – can build bridges and deepen the understandings of the complexity of mathematical dialogue.

Place, publisher, year, edition, pages
Malmö: Malmö universitet, 2022. p. 118
Series
Malmö Studies in Educational Sciences: Doctoral Dissertation Series, ISSN 1651-4513 ; No. 94
Keywords
Listening, mathematical dialogue, mathematics education, noticing, participation, professional development, questioning
National Category
Didactics
Identifiers
urn:nbn:se:mau:diva-49347 (URN)10.24834/isbn.9789178772100 (DOI)978-91-7877-209-4 (ISBN)978-91-7877-210-0 (ISBN)
Public defence
2022-01-21, Orkanen, D 138 or livestream, Nordenskiöldsg. 10, Malmö, 13:15 (English)
Opponent
Supervisors
Available from: 2022-01-14 Created: 2022-01-14 Last updated: 2022-11-07Bibliographically approved

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Sjöblom, Marie

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