As predicted by the adaptive strategy choice model, children's retrieval frequency correlates with retrieval efficiency but not with procedural efficiency¶

Claim · All claims
Evidence · 1 study · associational r1 · q2 · i2 medium
Currency · newest study 2008 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i2 Percentage retrieval use significantly predicted retrieval latency in all grades but did not predict procedural efficiency in any grade, supporting Siegler's prediction. → 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

q2 · i2 · associational · r1

Correlational and regression analyses across the three grades showed retrieval use correlated negatively with retrieval RTs (r = −0.239 in second grade, −0.164 in fourth, −0.320 in sixth, all significant at the 0.01 level), while retrieval use did not predict procedural RTs in any grade.

"A Wnal interesting observation was that, as predicted by Siegler ( 1988), percentage retrieval use did predict retrieval e Yciency but not procedural eYciency."

Discussion¶

Learner Variables¶

• Mathematical Flexibility — predictor: learners who differ on it differ in outcomes
• Operations and Place Value — predictor: learners who differ on it differ in outcomes

Related Claims¶

• 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
• 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 — related
• The advantage of a large working-memory span on children's arithmetic strategy use decreases across grades: span predicts retrieval frequency in second grade only and retrieval efficiency in second and fourth grade only — related
• Retrieval use increases with grade, and the small-versus-large difference in retrieval use decreases significantly between fourth and sixth grade only — related
• Both a predominantly computational-strategy task and a retrieval-expected task show most support for the computational efficiency model of multiplication difficulty. — related