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Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)
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Representing exact number visually using mental abacus.

Michael C Frank1, David Barner

  • 1Department of Psychology, Stanford University, Stanford, CA 94305, USA. mcfrank@stanford.edu

Journal of Experimental Psychology. General
|July 20, 2011
PubMed
Summary
This summary is machine-generated.

Mental abacus (MA) users store numbers by dividing abacus columns into independent units. This non-linguistic visual strategy aids exact numerical computation, even under verbal interference.

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Area of Science:

  • Cognitive Science
  • Neuroscience
  • Developmental Psychology

Background:

  • Mental abacus (MA) is a calculation method using a mental abacus representation.
  • Previous theories suggest MA relies on visual imagery for non-linguistic numerical representation.
  • The storage of MA structures within visual working memory limitations remains unclear.

Purpose of the Study:

  • To investigate the representational structure of mental abacus (MA).
  • To explore how MA representations are stored in visual working memory.
  • To test the non-linguistic hypothesis of MA computation.

Main Methods:

  • Studied a group of children in India who practice mental abacus (MA).
  • Investigated the structure of MA representations in visual working memory.
  • Assessed the impact of verbal interference on MA computations in users and controls.

Main Results:

  • MA representations are structured by splitting the abacus into columns.
  • Each column is stored independently as a unit with substructure in visual working memory.
  • Practiced MA users' computations were insensitive to verbal interference, unlike controls.

Conclusions:

  • MA is represented non-linguistically in visual working memory.
  • The abacus is mentally segmented into columns for storage and computation.
  • MA provides a format for exact numerical computation independent of language.