Coordinate plane placement accuracy shows no x- versus y-axis difference; quadrant errors are driven by sign transpositions in a small subset of students¶
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Evidence · 1 study · associationalr2·q3
Currency · newest study 2015 · not yet checked against its sources · not reviewed by a person
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q3 i? A 2 (axis) by 4 (quadrant) repeated measures ANOVA found a non-significant axis effect, a significant quadrant effect, and a non-significant interaction; error rates were higher in quadrants II and IV due to transpositions. → 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
Repeated measures ANOVA on percent absolute error for x- and y-axis placements in the 171-student sample. The authors report error rates were higher for quadrant II and IV pairs, driven by sign transpositions committed largely by a small number of students (58% of double transpositions by 7 students).
"The results revealed a non-significant axis effect, F(1,169) = 1.68, p=.1963, a significant quadrant effect, F(3,507) = 9.09, p<.0001, and a non-significant interaction, F(3,507) = 2.30, p=.0761."
Discussion¶
Related Claims¶
- Frequency of addition fact-retrieval errors predicts poor algebra equation memory but not coordinate plane or expression evaluation performance — related
- ANS acuity predicts accuracy of coordinate plane placements and expression evaluation accuracy, but not equation memory, in 9th graders — related
- Each of the three algebraic cognition measures independently predicts algebra achievement, controlling demographic and domain-general covariates — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
coordinate-plane-no-axis-effect-transposition-errors |
title |
Coordinate plane placement accuracy shows no x- versus y-axis difference; quadrant errors are driven by sign transpositions in a small subset of students |
description |
Coordinate plane placement accuracy shows no x- versus y-axis difference; quadrant errors are driven by sign transpositions in a small subset of students |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2015 |
generated |
by process:wiki-ingest on 2026-10-17 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — geary-david-c-2015 |
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