Cognitive addition and multiplication: Evidence for a single memory network

David C. Geary, Keith F. Widaman, Todd D. Little

Research output: Contribution to journalArticle

75 Scopus citations

Abstract

In an experiment using verification task procedures, 100 subjects responded to simple and complex problems of addition and multiplication. Identical structural parameters were found to model reaction time accurately to both addition and multiplication problems. Slope estimates for a memory network parameter did not differ significantly between simple and complex problems within an operation or between addition and multiplication problems. Both complex addition and complex multiplication problems were processed columnwise, with column sums or products being retrieved from an interrated memory network. The two types of complex problems included similar processes for carrying and for encoding of single digits, and both were self-terminated when an error in the units column was encountered. Addition and multiplication facts appear to be retrieved from a single interrelated memory network. A conceptual model for this interrelated network is discussed.

Original languageEnglish
Pages (from-to)478-487
Number of pages10
JournalMemory & Cognition
Volume14
Issue number6
DOIs
StatePublished - Nov 1986

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