Equal accuracy on fraction comparison items can mask fundamentally different misconceptions¶

Claim · All claims
Evidence · 1 study · theoretical r3 · q1
Currency · newest study 2026 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q1 i? Learners applying a larger-numerator-larger-fraction strategy and learners applying a larger-denominator-larger-fraction strategy can reach similar overall accuracy while holding fundamentally different misconceptions, so accuracy alone assigns them to the same performance group despite very different needs. → Anselm Strohmaier 2026

Evidence¶

Anselm Strohmaier 2026¶

Anselm Strohmaier, Fien Depaepe, Michael Nickl, Andreas Obersteiner. (2026). A domain-specific perspective on adaptivity. Learning and Instruction 104. https://doi.org/10.1016/j.learninstruc.2026.102364

q1 · i? · theoretical · r3

Theoretical argument in the editorial, drawing on cited fraction-comparison research: children applying a larger-numerator-larger-fraction strategy and those applying a larger-denominator-larger-fraction strategy can show "similar overall accuracy but are based on fundamentally different misconceptions". No new empirical data are reported.

"Thus, using accuracy as a measure would assign both groups of learners to the same performance group, while their way of reasoning and, therefore, their needs, are very different."

Discussion¶

Related Claims¶

• Participants committed more errors on common-numerator prime items than on denominator-numerator control prime items — related
• Adolescents and educated adults require more time to compare common-denominator fractions after a common-numerator prime than after a control prime (negative priming effect) — related