A Descriptive Analysis of the Error Patterns Observed in the Fraction-Computation Solution Pathways of Students With and Without Learning Disabilities

Abstract

Developing an understanding of fractions is critical as a significant predictor for the learning progression of advanced domains; however, students face significant challenges in learning fractions because of their unique properties. To systematically approach remediation, this study examined the common error patterns committed by middle-school students with and without learning disabilities in mathematics when solving fraction computations involving addition. Based on the logic that errors reflect meaningful misconceptions, errors associated in each solution stage established in a solution algorithm were analyzed. Findings provide instruction implications to develop practical guidelines for researchers, insights into a starting point of instruction when teaching students in diverse achievement levels, and an awareness about specific problematic areas requiring more intensive instruction and intervention. Careful consideration of errors associated within a solution pathway can maximize the efficacy of instructions. Future research directions, educational implications, and limitations are discussed.