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Concepts and facts in calculation

M Hittmair-Delazer1, C Semenza, G Denes

  • 1Department of Neurology, University Clinic Innsbruck, Austria.

Brain : a Journal of Neurology
|August 1, 1994
PubMed
Summary
This summary is machine-generated.

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This study details a patient unable to recall basic multiplication and division facts, highlighting a non-automatic component of mathematical long-term memory. Training showed that each arithmetic fact is stored independently.

Area of Science:

  • Cognitive Neuropsychology
  • Neuroscience
  • Educational Psychology

Background:

  • Investigates the nature of long-term memory for arithmetic facts.
  • Examines the distinction between automatic and non-automatic cognitive processes in mathematics.

Observation:

  • A patient demonstrated a specific deficit in recalling one-digit multiplication and division facts.
  • Complex mathematical reasoning remained intact, suggesting a targeted memory impairment.
  • This contrasts with overlearned, automatic arithmetic skills.

Findings:

  • Identified a component of mathematical long-term memory that is not overlearned or automatic.
  • Remediation training revealed that learning one arithmetic fact did not improve recall of related facts (e.g., multiplication complements).

Related Experiment Videos

Implications:

  • Suggests that individual arithmetic facts are stored independently in long-term memory.
  • Challenges current cognitive models of arithmetic that may not account for this granular storage.
  • Informs targeted interventions for individuals with specific arithmetic fact retrieval deficits.