Numerosity comparison accuracy is ratio-dependent across grades three to five¶

Claim · All claims
Evidence · 1 study · associational r2 · q3
Currency · newest study 2015 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i? Accuracy on the numerosity comparison test increased with the ratio between the larger and smaller dot arrays for each grade. → Zhou X 2015

Evidence¶

Zhou X 2015¶

Zhou X, Wei W, Zhang Y, Cui J, and Chen C (2015) Visual perception can account for the close relation between numerosity processing and computational fluency. Front. Psychol. 6:1364. https://doi.org/10.3389/fpsyg.2015.01364

q3 · i? · associational · r2

Correlational analysis of numerosity comparison accuracy across six ratio types showed ratio dependence for all three grades, with r(6) = 0.94 (third), r(6) = 0.90 (fourth), and r(6) = 0.92 (fifth). The article reports "the larger the ratio was between the larger and the smaller dot arrays, the higher the accuracy was."

"The accuracy on the numerosity comparison test was ratio-dependent (see Figure 2), that is, the larger the ratio was between the larger and the smaller dot arrays, the higher the accuracy was, r(6) = 0.94, p < 0.01 for third grade, r(6) = 0.90, p < 0.05 for fourth grade, and r(6) = 0.92, p < 0.01 for fifth grade."

Discussion¶

Related Claims¶

• Behavioral nonsymbolic numerosity acuity (RT and accuracy ratio effects) does not reliably predict formal math achievement in typical to high-achieving participants aged 6 to 34 — related
• Figure-matching ability accounts for the association between numerosity processing and computational fluency in third- to fifth-grade children — related
• Neither numerosity processing nor figure matching predicts general mathematical achievement — related
• Preschoolers' ANS task performance follows Weber's Law: accuracy decreases as numerical ratio approaches equality, and improves with age over six months — possibly the same claim (merge candidate)
• Response times in number comparison show group, notation, and ratio main effects, with a larger ratio effect for dot arrays than Arabic numerals — related
• In a number comparison task, adults outperform 6- to 7-year-old children in accuracy, Arabic numerals are easier than dot arrays, and easy 0.5 ratios are easier than difficult 0.8 ratios — related
• The numerical ratio effect in BOLD activity appears in superior parietal cortex in adults but in inferior frontal gyrus, precentral gyrus, and thalamus in children, with no group-level parietal ratio effect in children — related