ANS acuity predicts accuracy of coordinate plane placements and expression evaluation accuracy, but not equation memory, in 9th graders¶

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? After controlling covariates, symbolic number processing, and algebra achievement, the ANS composite predicted coordinate plane PAE (β = .147) and expression evaluation accuracy (β = .240), but not equation memory or expression evaluation RT. → Geary David C. 2015

Evidence¶

Geary David C. 2015¶

Geary David C., Hoard Mary K., Nugent Lara, Rouder Jeffrey N. (2015). Individual Differences in Algebraic Cognition: Relation to the Approximate Number and Sematic Memory Systems. Journal of experimental child psychology. https://doi.org/10.1016/j.jecp.2015.07.010

q3 · i? · associational · r2

Regression analysis of the 171-student longitudinal sample predicting algebraic cognition tasks from ANS acuity, controlling covariates, symbolic number processing, and algebra achievement. The ANS composite "predicted PAE on the coordinate plane task" (β = .147) and expression accuracy (β = .240) but not equation memory; no standardized effect size beyond the regression coefficients is printed.

"In contrast, the ANS composite score predicted PAE on the coordinate plane task [β = .147, t(160) = 2.37, p=.0187] and expression evaluation accuracy [β = .240, t(160) = 3.26, p=.0014], but not equation memory [β = −.100, t(160) = −1.21, p=.2279] or expression evaluation RT [β = −.053, t(160) < 1, p=.4966]."

Discussion¶

Learner Variables¶

• Number Sense — predictor: learners who differ on it differ in outcomes

Related Claims¶

• Frequency of addition fact-retrieval errors predicts poor algebra equation memory but not coordinate plane or expression evaluation performance — related
• Each of the three algebraic cognition measures independently predicts algebra achievement, controlling demographic and domain-general covariates — related
• ANS acuity is not related to algebra achievement once covariates are controlled, whereas retrieval errors remain predictive — related
• Coordinate plane placement accuracy shows no x- versus y-axis difference; quadrant errors are driven by sign transpositions in a small subset of students — related