Using Worked Examples to Enhance Students’ Mathematical Explanations during Fractions Intervention

This randomized controlled trial examined a fraction intervention enhanced with worked examples (presolved problems) to develop verbal conceptual explanations in grade 5 students with mathematics difficulties. Students analyzed worked examples depicting correct and incorrect solutions—both individually and in pairs for comparison—to explain key fraction concepts and common misconceptions. Ninety-nine students were randomly assigned to the intervention (n = 48) or a business-as-usual comparison group (n = 51). The intervention consisted of 36 lessons delivered over 12 weeks. Results favored intervention students significantly on fractions proficiency (g = 0.39–1.11) and both verbal and written explanations (g = 0.89–1.11). Findings suggest that incorporating worked examples to develop students’ verbal explanations is effective when embedded in multicomponent fractions interventions for students with mathematics difficulties.

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Publication Details

Journal
The Elementary School Journal
Published
2026-06-30
DOI
https://doi.org/10.1086/742132
Primary Topic
Cognitive and developmental aspects of mathematical skills
Type
article
Field-Weighted Citation Impact
0.00
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article

Using Worked Examples to Enhance Students’ Mathematical Explanations during Fractions Intervention

Amber Y. Wang, Samantha Wavell, Russell Gersten, Keith Smolkowski et al.
The Elementary School Journal
Cognitive and developmental aspects of mathematical skills
article

Using Worked Examples to Enhance Students’ Mathematical Explanations during Fractions Intervention

Amber Y. Wang, Samantha Wavell, Russell Gersten, Keith Smolkowski, Robin F. Schumacher
article en

Abstract

This randomized controlled trial examined a fraction intervention enhanced with worked examples (presolved problems) to develop verbal conceptual explanations in grade 5 students with mathematics difficulties. Students analyzed worked examples depicting correct and incorrect solutions—both individually and in pairs for comparison—to explain key fraction concepts and common misconceptions. Ninety-nine students were randomly assigned to the intervention (n = 48) or a business-as-usual comparison group (n = 51). The intervention consisted of 36 lessons delivered over 12 weeks. Results favored intervention students significantly on fractions proficiency (g = 0.39–1.11) and both verbal and written explanations (g = 0.89–1.11). Findings suggest that incorporating worked examples to develop students’ verbal explanations is effective when embedded in multicomponent fractions interventions for students with mathematics difficulties.

The Elementary School Journal
Oregon Research Institute (US), Instructional Research Group (US)
Openalex Percentile: Top 6%
Cognitive and developmental aspects of mathematical skills
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