Generalization Strategies of Linear and Quadratic Pattern: A Comparison of 6th-8th Grade Students

Different representations of patterns have positive effects on the formation of the basis of algebra. Hence, it is important to investigate the strategies about pattern generalization for students' future learning about algebra. Thus, this study aims to define the generalizations about linear and quadratic patterns and also comparing the generalization strategies of 6th - 8th grades. The sample consisted of 18 students at 6th, 7th and 8th grades. The data collection tool has 4 problems and the collected data is classified through the generalization strategies in the related literature. The findings illustrate those at all linear and quadratic patterns, the variety and the correct generalization abilities are increasing due to the increasing of students' grades. Generally, most of the students used recursive or additive strategies, but only a few number of students used explicit strategies.