Participants required more time and committed more errors when comparing fractions with common numerators than with common denominators¶

Claim · All claims
Evidence · 1 study · causal r2 · q3 · i3 large
Currency · newest study 2019 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i3 A 2 (type of fraction) × 2 (age) mixed-design ANOVA showed participants required more time to compare common-numerator fractions than common-denominator fractions, with no significant interaction with age. → Rossi 2019

Evidence¶

Rossi 2019¶

Rossi, S., Vidal, J., Letang, M., Houdé, O., & Borst, G. (2019). Adolescents and Adults Need Inhibitory Control to Compare Fractions. Journal of Numerical Cognition, 5(3), 314-336. https://doi.org/10.5964/jnc.v5i3.197

q3 · i3 · causal · r2

A mixed-design ANOVA comparing prime RTs (common numerator) and control probe RTs (common denominator) showed "Participants required more time in determining which of the two fractions was largest when the two fractions had the same numerator" with ηp2 = .39. No significant interaction with age was found.

"Participants required more time in determining which of the two fractions was largest when the two fractions had the same numerator (i.e., primes in the test trials) than when the two fractions had the same denominator (i.e., probes in the control trials), F(1, 48) = 31.11, p < .0001, ηp2 = .39"

Discussion¶

Related Claims¶

• Fraction pairs with common denominators are compared more accurately than pairs with common numerators, but children with MLD show a crossover, improving on common numerator items while declining on common denominator items — related
• 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
• Participants required less time to solve common-numerator items containing an improper fraction than items without improper fractions — related
• The amplitude of the negative priming effect did not differ between adolescents and adults — related