Literature DB >> 10881553

The odd-even effect in multiplication: parity rule or familiarity with even numbers?

A Lochy1, X Seron, M Delazer, B Butterworth.   

Abstract

This study questions the evidence that a parity rule is used during the verification of multiplication. Previous studies reported that products are rejected faster when they violate the expected parity, which was attributed to the use of a rule (Krueger, 1986; Lemaire & Fayol, 1995). This experiment tested an alternative explanation of this effect: the familiarity hypothesis. Fifty subjects participated in a verification task with contrasting types of problems (even x even, odd x odd, mixed). Some aspects of our results constitute evidence against the use of the parity rule: False even answers were rejected slowly, even when the two operands were odd. We suggest that the odd-even effect in verification of multiplication could not be due to the use of the parity rule, but rather to a familiarity with even numbers (three quarters of products are indeed even).

Mesh:

Year:  2000        PMID: 10881553     DOI: 10.3758/bf03198551

Source DB:  PubMed          Journal:  Mem Cognit        ISSN: 0090-502X


  13 in total

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3.  Cognitive mechanisms in number processing and calculation: evidence from dyscalculia.

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4.  Production, verification, and priming of multiplication facts.

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Journal:  Mem Cognit       Date:  1987-07

5.  Why 2 X 2 = 5 looks so wrong: on the odd-even rule in product verification.

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Journal:  Mem Cognit       Date:  1986-03

6.  Why 2 + 2 = 5 looks so wrong: on the odd-even rule in sum verification.

Authors:  L E Krueger; E W Hallford
Journal:  Mem Cognit       Date:  1984-03

7.  Facts, rules, and procedures in normal calculation: evidence from multiple single-patient studies of impaired arithmetic fact retrieval.

Authors:  M McCloskey; D Aliminosa; S M Sokol
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Review 8.  Integrated versus modular theories of number skills and acalculia.

Authors:  J M Clark; J I Campbell
Journal:  Brain Cogn       Date:  1991-11       Impact factor: 2.310

9.  When plausibility judgments supersede fact retrieval: the example of the odd-even effect on product verification.

Authors:  P Lemaire; M Fayol
Journal:  Mem Cognit       Date:  1995-01

10.  Strategy choice procedures and the development of multiplication skill.

Authors:  R S Siegler
Journal:  J Exp Psychol Gen       Date:  1988-09
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  3 in total

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3.  Neighborhood consistency in mental arithmetic: Behavioral and ERP evidence.

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