Literature DB >> 11352209

Verifying simple arithmetic sums and products: are the phonological loop and the central executive involved?

S De Rammelaere1, E Stuyven, A Vandierendonck.   

Abstract

In two experiments, we investigated the role of the phonological loop and the central executive in the verification of the complete set of one-digit addition (Experiment 1) and multiplication (Experiment 2) problems. The focus of the present study was on the contradictory results concerning the contribution of the phonological loop in the verification of true problems (e.g., 8 + 4 = 12 or 4 x 6 = 24) reported until now. The results revealed that this slave system is not involved in verifying simple arithmetic problems, in contrast to the central executive. Furthermore, our results indicated that the split effect is due to the use of two different arithmetic strategies.

Mesh：

Year:  2001        PMID： 11352209     DOI： 10.3758/bf03194920

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


  21 in total

1.  Working memory impairments in children with specific arithmetic learning difficulties.

Authors:  J F McLean; G J Hitch
Journal:  J Exp Child Psychol       Date:  1999-11

2.  The unity and diversity of executive functions and their contributions to complex "Frontal Lobe" tasks: a latent variable analysis.

Authors:  A Miyake; N P Friedman; M J Emerson; A H Witzki; A Howerter; T D Wager
Journal:  Cogn Psychol       Date:  2000-08       Impact factor: 3.468

3.  Two mental calculation systems: a case study of severe acalculia with preserved approximation.

Authors:  S Dehaene; L Cohen
Journal:  Neuropsychologia       Date:  1991       Impact factor: 3.139

4.  Linguistic influences in cognitive arithmetic: comment on Noel, Fias and Brsybaert (1997)

Authors:  J I Campbell
Journal:  Cognition       Date:  1998-07-15

5.  Does language really matter when doing arithmetic? Reply to Campbell (1998)

Authors:  M P Noel; A Robert; M Brysbaert
Journal:  Cognition       Date:  1998-07-15

6.  About the influence of the presentation format on arithmetical-fact retrieval processes.

Authors:  M P Noël; W Fias; M Brysbaert
Journal:  Cognition       Date:  1997-06

7.  Short-term memory impairment and arithmetical ability.

Authors:  B Butterworth; L Cipolotti; E K Warrington
Journal:  Q J Exp Psychol A       Date:  1996-02

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

Authors:  J I Campbell
Journal:  Mem Cognit       Date:  1987-07

9.  Time required for judgements of numerical inequality.

Authors:  R S Moyer; T K Landauer
Journal:  Nature       Date:  1967-09-30       Impact factor: 49.962

Review 10.  Varieties of numerical abilities.

Authors:  S Dehaene
Journal:  Cognition       Date:  1992-08
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  20 in total

1.  Contributions of domain-general cognitive resources and different forms of arithmetic development to pre-algebraic knowledge.

Authors:  Lynn S Fuchs; Donald L Compton; Douglas Fuchs; Sarah R Powell; Robin F Schumacher; Carol L Hamlett; Emily Vernier; Jessica M Namkung; Rose K Vukovic
Journal:  Dev Psychol       Date:  2012-03-12

2.  Counting on working memory in simple arithmetic when counting is used for problem solving.

Authors:  Steven A Hecht
Journal:  Mem Cognit       Date:  2002-04

3.  Mental subtraction and multiplication recruit both phonological and visuospatial resources: evidence from a symmetric dual-task design.

Authors:  Seda Cavdaroglu; A Knops
Journal:  Psychol Res       Date:  2015-05-08

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 working-memory executive components mediate the effects of age on strategy selection or on strategy execution? Insights from arithmetic problem solving.

Authors:  Sandrine Duverne; Patrick Lemaire; André Vandierendonck
Journal:  Psychol Res       Date:  2006-07-13

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

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

7.  Retrieval or nonretrieval strategies in mental arithmetic? An operand recognition paradigm.

Authors:  Catherine Thevenot; Muriel Fanget; Michel Fayol
Journal:  Mem Cognit       Date:  2007-09

8.  Functional dissociations between four basic arithmetic operations in the human posterior parietal cortex: a cytoarchitectonic mapping study.

Authors:  Miriam Rosenberg-Lee; Ting Ting Chang; Christina B Young; Sarah Wu; Vinod Menon
Journal:  Neuropsychologia       Date:  2011-05-18       Impact factor: 3.139

9.  Differential contribution of specific working memory components to mathematics achievement in 2nd and 3rd graders.

Authors:  M L Meyer; V N Salimpoor; S S Wu; D C Geary; V Menon
Journal:  Learn Individ Differ       Date:  2010-04

10.  Short-term memory, working memory, and executive functioning in preschoolers: longitudinal predictors of mathematical achievement at age 7 years.

Authors:  Rebecca Bull; Kimberly Andrews Espy; Sandra A Wiebe
Journal:  Dev Neuropsychol       Date:  2008       Impact factor: 2.253
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