The study examined the types of explanations students provide for fraction magnitude problems. Student responses were coded into one of five explanation types: (a) absent, (b) faulty, (c) conceptual-partially developed, (d) algorithmic, and (e) conceptual-fully developed. When examining latent classes specific to students’ explanations of their knowledge of fraction magnitude, a five-class model was the most tenable, conveying the presence of five distinct student profiles. The algorithmic class represented the largest percentage of student explanations and also revealed the strongest correlation with criterion measures. A combined algorithmic-conceptual class was not identified.
Fraction magnitude student explanations: A latent class analysis
Lindy Crawford,Jacqueline Huscroft-D’Angelo,Sarah Quebec Fuentes,Matthew C. Lambert
Published 2026 in International Electronic Journal of Mathematics Education
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2026
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International Electronic Journal of Mathematics Education
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2026-01-01
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