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Network interference and number-fact retrieval: evidence from children's alphaplication.

D J Graham1, J I Campbell

  • 1University of Otago.

Canadian Journal of Psychology
|March 1, 1992
PubMed
Summary

Children memorizing letter-based math facts showed patterns similar to number fact retrieval. This supports a network-interference model for understanding how arithmetic facts are stored and recalled in memory.

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Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Memory Research

Background:

  • Number-fact retrieval is crucial for mathematical fluency.
  • Understanding the cognitive processes underlying arithmetic fact memory is essential for effective educational strategies.

Purpose of the Study:

  • To investigate the origins of number-fact retrieval phenomena.
  • To examine whether memory for abstract arithmetic-like facts (alphaplication) mirrors that of numerical arithmetic facts.

Main Methods:

  • Children in Grades 3 and 4 were tasked with memorizing alphaplication facts.
  • Alphaplication facts served as letter-based analogs to arithmetic facts.
  • Performance metrics including accuracy and response times were analyzed.

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Main Results:

  • A significant performance advantage was observed for 'tie' problems over 'nontie' problems.
  • Errors predominantly involved answers from the correct 'alpha-table', suggesting interference within a learned set.
  • Response times and error rates were highly correlated, and poorly learned facts often resulted in common errors.

Conclusions:

  • Alphaplication performance closely parallels memory for arithmetic facts.
  • Findings support a network-interference approach to explain memory for arithmetic facts.
  • This research offers insights into the mechanisms of mathematical memory and learning.