Abstract
AbstractThe important role of student agency in collaborative problem-solving has been acknowledged in previous mathematics education research. However, what remains unknown are the processes of agency in open-ended tasks that draw on real-life contexts and demand argumentation beyond “mathematical”. In this study, we analyse a video recording of two student groups (each consisting of four students) taking part in collaborative problem-solving. We draw on the framework for collaborative construction of mathematical arguments and its interplay with student agency by Mueller et al. (2012). This original framework is supplemented by (i) testing and revising it in the context of open-ended real-life tasks, with (ii) student groups rather than pairs working on the tasks, and by (iii) offering a strengthened methodological pathway for analysing student agency in such a context. Based on our findings, we suggest that the framework suits this new context with some extensions. First, we note that differences in student agency were not only identified in terms of the discourse students drew on, but in how students were able to shift between various discourses, such as between “mathematical” and “non-mathematical” discourses. We identify a novel discourse reflecting student agency, invalidation discourse, which refers to denying other students’ agency by framing their contribution as invalid. Finally, we discuss the need to reframe “mathematical” arguments—and indeed student agency—while the task at hand is open-ended and concerns real-life contexts.
Funder
Australian Research Council's Discovery Projects
Publisher
Springer Science and Business Media LLC
Subject
Education,General Mathematics
Reference42 articles.
1. Alrø, H., & Skovsmose, O. (2003). Dialogue and learning in mathematics education. Kluwer Academic Publishers.
2. Arnold, J., & Clarke, D. J. (2014). What is ‘agency’? Perspectives in science education research. International Journal of Science Education, 36(5), 735–754.
3. Ben-Yehuda, M., Lavy, I., Linchevski, L., & Sfard, A. (2005). Doing wrong with words: What bars students’ access to arithmetical discourses. Journal for Research in Mathematics Education, 36(3), 176–247.
4. Beswick, K. (2011). Putting context in context: An examination of the evidence for the benefits of ‘contextualised’ tasks. International Journal of Science and Mathematics Education, 9(2), 367–390.
5. Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematics worlds. Multiple Perspectives on Mathematics Teaching and Learning, 1, 171–200.
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