The Mathematical Representation Process of Elementary School Students in Solving Quadratic Functions Based on Mathematics Abilities
This current study aimed at analyzing both students’ internal and external representations in solving quadratic function problem based on their mathematical abilities. The subjects involved in the study were six ninth grade students of elementary school with high, medium, and low abilities in mathematics. Data were collected through interview and written response to the validated essay test. The results of the study have shown that the external representation used by the subjects with high, medium, and low abilities was symbolic representation involving mathematical expression to find solution and verbal representation to understand the problems. Although the internal representations found in the subjects with high, medium, and low mathematical ability equally start from understanding problem using their memory about the materials they had learned and creating strategy to solve the problems properly, there were some differences in the representations shown. It was also found that there was a reciprocal relationship between the internal and external representations in solving the problems.