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.
Authors
- Amber Y. Wang (ORCID: https://orcid.org/0000-0003-1328-2134)
- Samantha Wavell
- Russell Gersten
- Keith Smolkowski
- Robin F. Schumacher
Institutions
- Oregon Research Institute (US)
- Instructional Research Group (US)
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