Fraction division showed large country differences (Chinese 91%, Belgian 71%, U.S. 22% correct), while fraction addition showed a Country × Grade interaction¶

Claim · All claims
Evidence · 1 study (2 entries) · associational r1 · q3 · i2–i3
Currency · newest study 2015 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i3 Fraction division accuracy showed a large main effect of Country (partial eta² = .48), with Chinese > Belgian > U.S. students. → Torbeyns 2015 q3 i2 Fraction addition showed a Country × Grade interaction (partial eta² = .07): Belgium and China were similarly accurate in both grades, while U.S. performance started far lower and improved considerably. → Torbeyns 2015 (2)

Evidence¶

Torbeyns 2015¶

Torbeyns, J., Schneider, M., Xin, Z., & Siegler, R. S. (2015). Bridging the Gap: Fraction Understanding is Central to Mathematics Achievement in Students from Three Different Continents. Learning and Instruction. https://doi.org/10.1016/j.learninstruc.2014.03.002

q3 · i3 · associational · r1

A Country × Grade ANOVA on four fraction division trials in the 187-student study showed a large main effect of Country with printed effect size partial eta² = .48. The article separately reports means of 91% (China), 71% (Belgium), and 22% (U.S.) correct.

"For the fraction division task, a parallel Country × Grade ANOVA showed main effects of Country, F(2, 186) = 82.01, p < .01, partial eta² = .48, and Grade, F(1, 186) = 13.95, p < .01, partial eta² = .07."

Torbeyns 2015 (2)¶

Torbeyns, J., Schneider, M., Xin, Z., & Siegler, R. S. (2015). Bridging the Gap: Fraction Understanding is Central to Mathematics Achievement in Students from Three Different Continents. Learning and Instruction. https://doi.org/10.1016/j.learninstruc.2014.03.002

q3 · i2 · associational · r1

A parallel Country × Grade ANOVA on fraction addition in the 187-student study showed a significant "Country × Grade interaction", F(2, 186) = 7.07, p < .01, with printed effect size partial eta² = .07.

"A parallel Country × Grade ANOVA on fraction addition revealed main effects of Country, F(2, 186) = 86.74, p < .01, partial eta² = .49, and Grade, F(1, 186) = 13.95, p < .01, partial eta² = .07, and also a Country × Grade interaction, F(2, 186) = 7.07, p < .01, partial eta² = .07."

Discussion¶

Related Claims¶

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• Group differences in fraction comparison accuracy persist when full scale IQ is included as a covariate — related