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

Autor/inn/en	Girit Yildiz, Dilek; Durmaz, Burcu
Titel	A Gifted High School Student's Generalization Strategies of Linear and Nonlinear Patterns via Gauss's Approach
Quelle	In: Journal for the Education of the Gifted, 44 (2021) 1, S.56-80 (25 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Girit Yildiz, Dilek) ORCID (Durmaz, Burcu)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0162-3532
DOI	10.1177/0162353220978295
Schlagwörter	Academically Gifted; High School Students; Mathematics Skills; Generalization; Mathematical Concepts; Learning Strategies; Algebra; Grade 10; Problem Solving; Thinking Skills; Foreign Countries; Turkey + Suchen Sie Ihr Suchwort? High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Learning methode; Learning techniques; Lernmethode; Lernstrategie; Problemlösen; Denkfähigkeit; Ausland; Türkei
Abstract	Mathematically 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. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01