Literature DB >> 12587894

Automatic activation of multiplication facts: evidence from the nodes adjacent to the product.

Giovanni Galfano1, Elena Rusconi, Carlo Umiltà.   

Abstract

Adult observers are widely assumed to be equipped with a specific memory store containing arithmetic facts. The present study was aimed at exploring the possibility of obtaining an automatic activation of multiplication facts by using the number-matching paradigm (LeFevre, Bisanz, & Mrkonjic, 1988), in which mental arithmetic is task irrelevant. In particular, we were interested in exploring whether the nodes that precede or follow the product node in the multiplication table can also be automatically activated as a consequence of the mere presentation of two numbers. In Experiments 1 and 2, we showed that participants were slower in responding "no" to probes that were numbers adjacent to the product in the table related to the first operand of the initial pair than to probes that were unrelated to the initial pair. In Experiments 3 and 4, we showed a similar pattern for probes that were numbers adjacent to the product in the table related to the second operand of the initial pair. Experiments 5 and 6 ruled out alternative accounts and confirmed the results of the previous experiments. Taken together the present findings suggest that multiplication facts are stored in a highly related network in which activation spreads from the product node to adjacent nodes.

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Year:  2003        PMID: 12587894     DOI: 10.1080/02724980244000332

Source DB:  PubMed          Journal:  Q J Exp Psychol A        ISSN: 0272-4987


  13 in total

Review 1.  Insights into numerical cognition: considering eye-fixations in number processing and arithmetic.

Authors:  J Mock; S Huber; E Klein; K Moeller
Journal:  Psychol Res       Date:  2016-02-04

2.  Bidirectional links in the network of multiplication facts.

Authors:  Elena Rusconi; Giovanni Galfano; Elena Rebonato; Carlo Umiltà
Journal:  Psychol Res       Date:  2004-10-02

3.  Interacting neighbors: a connectionist model of retrieval in single-digit multiplication.

Authors:  Tom Verguts; Wim Fias
Journal:  Mem Cognit       Date:  2005-01

4.  The role of response selection and input monitoring in solving simple arithmetical products.

Authors:  Maud Deschuyteneer; André Vandierendonck
Journal:  Mem Cognit       Date:  2005-12

5.  Do multiplication and division strategies rely on executive and phonological working memory resources?

Authors:  Ineke Imbo; André Vandierendonck
Journal:  Mem Cognit       Date:  2007-10

6.  Neighborhood consistency and memory for number facts.

Authors:  Jamie I D Campbell; Roxanne R Dowd; Jillian M Frick; Kendra N McCallum; Arron W S Metcalfe
Journal:  Mem Cognit       Date:  2011-07

Review 7.  "Compacted" procedures for adults' simple addition: A review and critique of the evidence.

Authors:  Yalin Chen; Jamie I D Campbell
Journal:  Psychon Bull Rev       Date:  2018-04

8.  Fact learning in complex arithmetic-the role of the angular gyrus revisited.

Authors:  Johannes Bloechle; Stefan Huber; Julia Bahnmueller; Johannes Rennig; Klaus Willmes; Seda Cavdaroglu; Korbinian Moeller; Elise Klein
Journal:  Hum Brain Mapp       Date:  2016-04-30       Impact factor: 5.038

9.  Early learning shapes the memory networks for arithmetic: evidence from brain potentials in bilinguals.

Authors:  Elena Salillas; Nicole Y Y Wicha
Journal:  Psychol Sci       Date:  2012-06-15

10.  Representation of multiplication facts--evidence for partial verbal coding.

Authors:  Korbinian Moeller; Elise Klein; Martin H Fischer; Hans-Christoph Nuerk; Klaus Willmes
Journal:  Behav Brain Funct       Date:  2011-07-08       Impact factor: 3.759

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