Effects of multiplication practice on product verification: integrated structures model or retrieval-induced forgetting?
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Updated: Aug 24, 2026

Using Practice Testing, Public Speaking, and Source Monitoring to Examine the Influences of Learning Strategies and Stress on Episodic Memory
Published on: June 14, 2019
Thomas L Phenix1, Jamie I Campbell
1Department of Psychology, University of Saskatchewan, 9 Campus Drive, Saskatoon, SK, S7N 5A5 Canada. tom.phenix@usask.ca
Abstract:
In the integrated structures model of simple multiplication (Manly & Spoehr, 1999), it is proposed that retrieval of a multiplication fact (e.g., 2 x 7 = ?) activates and strengthens operand multiples representations (e.g., 4, 6, 8, etc.; 14, 21, 28, etc.). In contrast, in the phenomenon of retrieval-induced forgetting (RIF; M. C. Anderson, Bjork, & Bjork, 1994), it is suggested that operand multiples ought to be suppressed with practice. Participants (N = 72) performed 40 blocks of practice trials in which they generated answers to a subset of simple multiplication problems. We then measured response times and errors in a true-false product verification task. Both true and related false equations with practiced operand multiples as presented products were solved relatively poorly in the verification task. In agreement with RIF, this suggests that operand multiples were suppressed, rather than strengthened, during the practice phase.
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