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Undergraduates' reasoning while solving integration tasks: discussion of a research framework

Aaten, A. B., Deprez, J., Roorda, G. & Goedhart, M., 2017, Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (CERME10, February 1-5, 2017). Dooley, T. & Gueudet, G. (eds.). Dublin, Ireland: DCU Institute of Education and ERME, p. 1961-1968 8 p.

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In this paper we investigate the extent to which the research framework on reasoning developed by Lithner (2008) is adequate for characterizing undergraduate students’ mathematical reasoning. We conducted a small number of individual task-based think-aloud interviews in which students solved integration tasks. Several examples illustrate how we characterized reasoning types by using the framework. However, we found that some reasoning types were not covered by the framework. We propose to extend the framework by introducing a reasoning type that is mathematically founded but not creative, and as a consequence, may be intertwined with imitative reasoning.
Original languageEnglish
Title of host publicationProceedings of the Tenth Congress of the European Society for Research in Mathematics Education (CERME10, February 1-5, 2017)
EditorsT Dooley, G Gueudet
Place of PublicationDublin, Ireland
PublisherDCU Institute of Education and ERME
Pages1961-1968
Number of pages8
Publication statusPublished - 2017

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