On 0-1 fraction number line estimation, Belgian and Chinese students estimate far more accurately than U.S. students, with no Country × Grade interaction¶

Claim · All claims
Evidence · 1 study · associational r1 · q3 · i3 large
Currency · newest study 2015 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i3 Country differences in 0-1 number line estimation accuracy were large (partial eta² = .20), with Chinese mean PAE = 6%, Belgian 7%, U.S. 16%. → Torbeyns 2015 q3 i2 8th graders estimated more accurately than 6th graders (PAE 7% vs 12%, partial eta² = .06). → Torbeyns 2015

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 3 (Country) × 2 (Grade) ANOVA on percentage absolute error in the 187-student cross-cultural study showed a large main effect of Country with printed effect size partial eta² = .20; Belgian accuracy (mean PAE = 7%) was as high as Chinese and much higher than U.S.

"Belgian, Chinese, and U.S. students’ estimation accuracy differed, F(2, 186) = 22.67, p < .01, partial eta² = .20. Chinese students were much more accurate than U.S. students, mean PAE = 6% and 16%."

Discussion¶

Related Claims¶

• On the more difficult 0-5 number line task, Chinese students estimated more accurately than Belgian students, who in turn estimated more accurately than U.S. students — related
• Fraction magnitude understanding, measured by number line estimation, predicts general mathematics achievement beyond fraction arithmetic skill in 5 of 6 Belgian, Chinese and U.S. grade samples, though not among Chinese 8th graders — related