Using Multiple Representations to Develop Understanding of Fractions

Understanding fractions is key to success in advanced math and careers in science, technology, engineering, and math (STEM). Yet many students—especially those with a math disability or difficulties—struggle with foundational understanding of fractions. This article offers a look at how different representations of fractions, such as area, set, and length models, can be used to strengthen students’ understanding of fractions. Two primary considerations include (a) using representations to understand target concepts and (b) mapping between representations. We present various instructional supports that educators can use to implement these steps effectively.

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Publication Details

Journal
Intervention in School and Clinic
Published
2026-04-20
DOI
https://doi.org/10.1177/10534512261434196
Primary Topic
Cognitive and developmental aspects of mathematical skills
Type
article
Field-Weighted Citation Impact
0.00
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article

Using Multiple Representations to Develop Understanding of Fractions

Sarah R. Powell, Jihyun Lee
Intervention in School and Clinic
Cognitive and developmental aspects of mathematical skills
article

Using Multiple Representations to Develop Understanding of Fractions

Sarah R. Powell, Jihyun Lee
article en

Abstract

Understanding fractions is key to success in advanced math and careers in science, technology, engineering, and math (STEM). Yet many students—especially those with a math disability or difficulties—struggle with foundational understanding of fractions. This article offers a look at how different representations of fractions, such as area, set, and length models, can be used to strengthen students’ understanding of fractions. Two primary considerations include (a) using representations to understand target concepts and (b) mapping between representations. We present various instructional supports that educators can use to implement these steps effectively.

Intervention in School and Clinic
University of Wyoming (US), The University of Texas at Austin (US)
Quality Education
Openalex Percentile: Top 5%
Cognitive and developmental aspects of mathematical skills
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