Juxtaposing Mathematical Extensions with Cognitvely Loaded Questions in the Mathematics Classrom

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dc.contributor.authorSabbaghan, Soroush
dc.contributor.authorBabb, Paulino Preciado
dc.contributor.authorMetz, Martina
dc.contributor.authorPinchbeck, Geoffrey
dc.contributor.authorAljarrah, Ayman
dc.contributor.authorDavis, Brent
dc.contributor.facultyWerklund School of Education
dc.date.accessioned2016-05-16T20:45:02Z
dc.date.available2016-05-16T20:45:02Z
dc.date.issued2016-05
dc.description.abstractProviding mathematical extensions (i.e. bonus questions) intended to evoke deep mathematical thinking after students complete assigned tasks is challenging for teachers. In this paper, we use the Variation Theory of Learning to challenge a common misconception that mathematical extensions should include many interrelated elements and impose a high cognitive load to promote deeper thinking. We present an analysis of observed extensions and provide alternative routes. Pedagogical implications for the design of mathematical extensions are presented.en_US
dc.description.refereedYesen_US
dc.description.sponsorshipWerklund School of Education, Galileo Educational Networken_US
dc.identifier.citationSabbaghan, S., et al. (2016, May). Juxtaposing Mathematical Extensions with Cognitively Loaded Questions in the Mathematics Classroom. In M. Takeuchi, A.P. Preciado Babb, & J. Lock. IDEAS 2016: Designing for Innovation Selected Proceedings. Paper presented at IDEAS 2016: Designing for Innovation, Calgary, Canada (pg 213-223). Calgary, Canada: Werklund School of Education, University of Calgary.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/5262
dc.identifier.isbn978-0-88953-3905
dc.identifier.urihttp://hdl.handle.net/1880/51227
dc.languageen
dc.language.isoenen_US
dc.publisherUniversity of Calgaryen_US
dc.publisher.facultyWerklund School of Educationen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.publisher.urlhttps://werklund.ucalgary.ca/ideas/en_US
dc.subjectMathematical Knowledge for Teachingen_US
dc.subjectMathematical Extensionsen_US
dc.titleJuxtaposing Mathematical Extensions with Cognitvely Loaded Questions in the Mathematics Classromen_US
dc.typeunknown
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