Nonlinear learning of linear algebra

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dc.contributor.author Hamdan, May
dc.date.accessioned 2016-04-25T10:47:29Z
dc.date.available 2016-04-25T10:47:29Z
dc.date.issued 2016-04-25
dc.identifier.issn 0020-739X en_US
dc.identifier.uri http://hdl.handle.net/10725/3644
dc.description.abstract Students find difficulty in learning linear algebra because of the abstraction and formalism associated with concepts such as vector space, linear independence, rank and invertible matrices. Learning the necessary procedures becomes insufficient, and imitating worked examples does not guarantee the maturity level necessary for understanding these concepts. Instructors who seriously consider education reform look for teaching modes that induce active learning; the author resorted to journal writing in the particular context of coordinating between the different definitions and theorems related to the invertibility of a matrix: students were required to write about the various modes of representing invertible matrices, trying to guide them so as not to confuse the object with its representation, a notion referred to by Dorier as cognitive flexibility. As an auxiliary result, learners were observed in the process of building the construct of invertible matrices. The topic of invertible matrices was chosen because it appears that it weaves through the material, and plays the role of a unifier concept. In their final draft, many journals culminated into a student personal paper, entitled ‘Many ways to show invertibility: how to choose the most fit method?' Above all, the project helped students reclaim their intuition and common sense about mathematics. en_US
dc.language.iso en en_US
dc.title Nonlinear learning of linear algebra en_US
dc.type Article en_US
dc.description.version Published en_US
dc.title.subtitle Active learning through journal writing en_US
dc.author.school SAS en_US
dc.author.idnumber 199829020 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal International Journal of Mathematical Education in Science and Technology en_US
dc.journal.volume 36 en_US
dc.journal.issue 6 en_US
dc.article.pages 607-615 en_US
dc.identifier.doi http://dx.doi.org/10.1080/00207390500084898 en_US
dc.identifier.ctation Hamdan, M. (2005). Nonlinear learning of linear algebra: Active learning through journal writing. International Journal of Mathematical Education in Science and Technology, 36(6), 607-615. en_US
dc.author.email mhamdan@lau.edu.lb
dc.identifier.url http://www.tandfonline.com/doi/full/10.1080/00207390500084898

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