Sixth Grade Students’ Preferences on Multiple Representations Used in Fraction Operations and Their Performance in their Preferences

Abstract

The aim of this study is to determine the representation preferences (numerical, area model, number line and verbal) of the sixth-year students for the addition and subtraction of fractions and to reveal their successes in their preferences. Being descriptive in nature, this research has been conducted as a survey study. The study group consists of 59 students, 31 of whom are boys and 28 of whom are
girls, who are in the sixth grade of three middle schools affiliated to MoNE in the city of Kastamonu. A purposeful sampling selection method was used to select participants. The data were collected by " Multiple Representations in Fraction Operations Test " and analyzed in accordance with predefined transition criteria. Representation preferences of students and interpretations of their success in their preferences were presented through descriptive statistics (percentage and frequency). While area model representations take the first place in preferences, verbal representations are the least preferred type of representation. When students’ performances in the representations are examined, the most successful representations of students in addition and subtraction of fractions are numerical and area model representations. On the other hand, it has been seen that the achievement status of students in the verbal
and numerical representation types is considerably low.