The scheme construction to solve the adding fractions problems using images conducted by elementary students

Abstract

Mahthematics consists of various learning segments and one of which is a fraction. Completing the adding fractions can be done through several methods, one of which is by using images. This is a less-known method of learning, especially for elementary school students which may be due to incomplete student scheme construction. This study aims to describe how elementary school students construct the scheme by using images in the adding fraction. The subject was the sixth grader who has high mathematical skills. Data were collected through interviews as well as mathematical abilities and adding fraction tests as supporting instruments. Mathematical ability tests were used to determine the students’ mathematical abilities category; while adding fraction tests were used to explore the student schemes construction. Data were analyzed qualitatively based on the APOS theory framework (Action, Process, Oject, Scheme). The results showed that the subject made an incomplete sketch of adding fractions through images proved by how to complete the design scheme in adding fractions through images, subject tended to change procedural solutions by using sketches.