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An Integrated Methodological Approach for Documenting Individual and Collective Mathematical Progress: Reinventing the Euler Method Algorithmic Tool

dc.contributor.authorRasmussen, Chrisen
dc.contributor.authorWawro, Meganen
dc.contributor.authorZandieh, Michelleen
dc.date.accessioned2024-03-27T18:22:50Zen
dc.date.available2024-03-27T18:22:50Zen
dc.date.issued2024-03-21en
dc.date.updated2024-03-27T13:16:00Zen
dc.description.abstractIn this paper we advance a methodological approach for documenting the mathematical progress of learners as an integrated analysis of individual and collective activity. Our approach is grounded in and expands the emergent perspective by integrating four analytic constructs: individual meanings, individual participation, collective mathematical practices, and collective disciplinary practices. Using video data of one small group of four students in an inquiry-oriented differential equations classroom, we analyze a 10 min segment in which one small group reinvent Euler’s method, an algorithmic tool for approximating solutions to differential equations. A central intellectual contribution of this work is elaborating and coordinating the four methodological constructs with greater integration, cohesiveness, and coherence.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRasmussen, C.; Wawro, M.; Zandieh, M. An Integrated Methodological Approach for Documenting Individual and Collective Mathematical Progress: Reinventing the Euler Method Algorithmic Tool. Educ. Sci. 2024, 14, 335.en
dc.identifier.doihttps://doi.org/10.3390/educsci14030335en
dc.identifier.urihttps://hdl.handle.net/10919/118457en
dc.language.isoenen
dc.publisherMDPIen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectcollectiveen
dc.subjectindividualen
dc.subjectcoordinated analysisen
dc.subjectpracticesen
dc.subjectEuler’s methoden
dc.titleAn Integrated Methodological Approach for Documenting Individual and Collective Mathematical Progress: Reinventing the Euler Method Algorithmic Toolen
dc.title.serialEducation Scienceen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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