Farklı Sınıf Seviyelerindeki Ortaokul Öğrencilerinde Cebirsel Düşünme: Örüntülerde Genelleme Hakkındaki Algıları

Abstract

-Algebra is generally considered as manipulating symbols, while algebraic thin king is about generalization. Patterns can be used for generalizat ion to develop early graders' algebraic thinking. In the generalization of pattern context, the purpose of this study is to investigate middle school students' reasoning and strategies at different grades when their algebraic thin king begin s to develop.First, 6 open-ended linear growth pattern problems as numeric, pictorial, and tabular representations were asked to 154 middle g rade students. Next, two students from each grade (6 th , 7 th , and 8 th grade) were interviewed to investigate how they interpret the relationship in different represented patterns, and which strategies they use. The findings of this study showed that students tended to use algebraic symbolis m as their grade level was increased. However, the students' conceptions about 'variable' we re troublesome.

Investigating the strength of alignment between Senior Phase mathematics content standards and workbook activities on number patterns

“…This structure of the curriculum could result in fragmented algebraic thinking and reasoning that is associated with NGP. Results from other studies (Bishop, 2000;Girit & Akyüz, 2016;Pitta-Pantazi et al, 2020) posed challenges with decreasing patterns, incorrectly assigned numbers where there were variables and generalising patterns where numeracy was not linked to algebra. These results show the persistent existence of algebraic thinking and reasoning in relation to numeric and geometric patterns (Bishop, 2000).…”