A Gifted High School Student's Generalization Strategies of Linear and Nonlinear Patterns via Gauss's Approach
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sage Publications Inc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Gifted Education, Gauss’ S Approach, Linear And Nonlinear Pattern Generalization, Teachers, Mathematics, Experiences, Elementary, Curriculum, Creativity, Education
Kaynak
Journal For The Education Of The Gifted
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
44
Sayı
1
