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Retrieval processes in arithmetic production and verification
1Department of Psychology, University of Saskatchewan, Saskatoon, SK, Canada. campbell@sask.usask.ca
Memory & Cognition
|March 1, 1996
Summary
This study explored arithmetic problem-solving. Results show that producing answers and verifying them use distinct memory processes, suggesting familiarity, not just retrieval, is key for verification.
Area of Science:
- Cognitive Psychology
- Neuroscience
- Mathematical Cognition
Background:
- Investigating the cognitive processes underlying arithmetic is crucial for understanding numerical cognition.
- Distinguishing between memory retrieval and familiarity-based processes offers insight into how mathematical facts are accessed.
Purpose of the Study:
- To determine if arithmetic production and verification rely on identical memory retrieval mechanisms.
- To differentiate the cognitive processes involved in generating arithmetic answers versus confirming their accuracy.
Main Methods:
- Alternating multiplication production trials (e.g., 7 x 8 = ?) with verification trials (e.g., 6 x 4 = 24, true/false?).
- Analyzing positive error priming, where errors mirror correct answers from preceding trials, to infer underlying processes.
Main Results:
- Production errors showed strong priming from preceding production trials (90% above chance).
- Production errors were not significantly primed by verification trials (13% above chance).
- Verification errors were primed by prior verification trials (25% above chance) but not by production trials.
Conclusions:
- Arithmetic production and verification are distinct cognitive processes.
- Findings support a familiarity-based model over a retrieval-based model for arithmetic verification.