Two sources of the problem-size effect — more frequent and more efficient retrieval on small than large problems — are present in children of all grades, while the procedural-efficiency source is present only in second grade¶
Claim · All claims
Evidence · 1 study · causalr2·q3
Currency · newest study 2008 · not yet checked against its sources · not reviewed by a person
Subclaims¶
Reading the evidence codes
q is the design tier, i the impact, n the sample, and the kind with its r
the rigour judged within that kind: what each code means.
This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.
q3 i? More frequent retrieval use on small than on large problems and more efficient retrieval use on small than on large problems occur in second, fourth, and sixth graders, but more efficient procedural use on small problems occurs only in second grade. → Ineke Imbo · André Vandierendonck 2008
Evidence¶
Ineke Imbo · André Vandierendonck 2008¶
Ineke Imbo · André Vandierendonck. (2008). Effects of problem size, operation, and working-memory span on simple-arithmetic strategies: differences between children and adults? Psychological Research (2008) 72:331–346. https://doi.org/10.1007/s00426-007-0112-8
q3 · i? · causal · r2
ANOVA analyses of the production task with trial-by-trial strategy reports in 60 children (20 each in second, fourth, and sixth grade) showed "two sources of the problem-size eVect were present in all grades", while the procedural-efficiency source was confined to second grade.
"results showed that two sources of the problem-size eVect were present in all grades, namely more frequent retrieval use on small than on large problems, and more eYcient retrieval use on small than on large problems. The third source of the problem-size eVect, more eYcient procedural use on small than on large problems, was only present in the second grade."
Discussion¶
Learner Variables¶
- Operations and Place Value — predictor: learners who differ on it differ in outcomes
Related Claims¶
- Retrieval use increases with grade, and the small-versus-large difference in retrieval use decreases significantly between fourth and sixth grade only — related
- As predicted by the adaptive strategy choice model, children's retrieval frequency correlates with retrieval efficiency but not with procedural efficiency — related
- Retrieval is faster and procedural execution more efficient on addition than on multiplication problems, and these operation effects persist across the primary school years — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
problem-size-sources-children-strategy-use |
title |
Two sources of the problem-size effect — more frequent and more efficient retrieval on small than large problems — are present in children of all grades, while the procedural-efficiency source is present only in second grade |
description |
Two sources of the problem-size effect — more frequent and more efficient retrieval on small than large problems — are present in children of all grades, while the procedural-efficiency source is present only in secon... |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2008 |
generated |
by process:wiki-ingest on 2026-10-17 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — ineke-imbo-andré-vandierendonck-2008 |
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