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Errors in Fraction Arithmetic Among Sixth-Grade Students With Mathematics Difficulties

Ogochukwu Chidinso Anisiobi, Nancy Dyson, Nancy C. Jordan

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Source: Crossref

Published: Feb 19, 2026

DOI: 10.1177/09388982261422703

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Source abstract

Fraction arithmetic is a foundational aspect of mathematics education, yet many students, particularly those with mathematics difficulties (MD), struggle with this skill. The present study examined the types of errors made by 251 sixth-grade students with MD when solving simple fraction addition, subtraction, and multiplication problems. Ten distinct error categories emerged from the coding process. The errors indicated that many sixth-grade students with MD rely on flawed procedural strategies rather than drawing on conceptual understanding of fractions or operations. Targeted interventions are suggested that strengthen foundational fraction concepts and operational knowledge, especially with familiar fractions, are needed to support students with MD in developing a deeper, more flexible understanding of fractions, enabling them to reason confidently rather than depend on flawed procedural approaches.

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