A Gifted High School Student's Generalization Strategies of Linear and Nonlinear Patterns via Gauss's Approach

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dc.authoridGirit Yildiz, Dilek/0000-0003-3406-075X
dc.authoridDURMAZ, BURCU/0000-0002-2788-434X
dc.authorwosidGirit Yildiz, Dilek/HPE-9964-2023
dc.authorwosidDURMAZ, BURCU/I-1683-2015
dc.contributor.authorGirit Yildiz, Dilek
dc.contributor.authorDurmaz, Burcu
dc.date.accessioned2024-06-12T11:02:38Z
dc.date.available2024-06-12T11:02:38Z
dc.date.issued2021
dc.departmentTrakya Üniversitesien_US
dc.description.abstractMathematically gifted students have a high potential for understanding and thinking through mathematical relations and connections between mathematical concepts. Currently, it is thought that generalizing patterns algebraically can serve to provide challenges and opportunities that match their potential. This article focuses on a mathematically gifted student's use of generalization strategies to identify linear and nonlinear patterns in the context of a matchstick problem. Data were collected from a 10th-grade gifted student's problem-solving process in a qualitative research design. It was observed that the gifted student's ways of generalizing the linear and nonlinear patterns were different. In a generalization process, the student used figural reasoning in the linear pattern and numerical reasoning in the nonlinear patterns. It was noted that the student explored using Gauss's approach in structuring the general rules of nonlinear patterns. Accordingly, aside from assisting their more gifted students, mathematics teachers may want to consider ways to introduce Gaussian thinking to the benefit of all their students.en_US
dc.identifier.doi10.1177/0162353220978295
dc.identifier.endpage80en_US
dc.identifier.issn0162-3532
dc.identifier.issn2162-9501
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85100753629en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage56en_US
dc.identifier.urihttps://doi.org/10.1177/0162353220978295
dc.identifier.urihttps://hdl.handle.net/20.500.14551/21363
dc.identifier.volume44en_US
dc.identifier.wosWOS:000616255800003en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSage Publications Incen_US
dc.relation.ispartofJournal For The Education Of The Gifteden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGifted Educationen_US
dc.subjectGauss’ S Approachen_US
dc.subjectLinear And Nonlinear Pattern Generalizationen_US
dc.subjectTeachersen_US
dc.subjectMathematicsen_US
dc.subjectExperiencesen_US
dc.subjectElementaryen_US
dc.subjectCurriculumen_US
dc.subjectCreativityen_US
dc.subjectEducationen_US
dc.titleA Gifted High School Student's Generalization Strategies of Linear and Nonlinear Patterns via Gauss's Approachen_US
dc.typeArticleen_US

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