Literature DB >> 17063923

Encoding numbers: behavioral evidence for processing-specific representations.

Catherine Thevenot1, Pierre Barrouillet.   

Abstract

The aim of this study was to test the hypothesis of a complex encoding of numbers according to which each numerical processing requires a specific representational format for input In three experiments, adult participants were given two numbers presented successively on screen through a self-presentation procedure after being asked to add, to subtract, or to compare them. We considered the self-presentation time of the first number as reflecting the complexity of the encoding for a given planned processing. In line with Dehaene's triple-code model, self-presentation times were longer for additions and subtractions than for comparisons with two-digit numbers but longer for subtractions than for additions and comparisons with one-digit numbers. The implications of these results for different theories of number processing are discussed.

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Year:  2006        PMID: 17063923     DOI: 10.3758/bf03193439

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


  28 in total

1.  Algorithmic solution of arithmetic problems and operands-answer associations in long-term memory.

Authors:  C Thevenot; P Barrouillet; M Fayol
Journal:  Q J Exp Psychol A       Date:  2001-05

2.  Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison.

Authors:  S Dehaene; E Dupoux; J Mehler
Journal:  J Exp Psychol Hum Percept Perform       Date:  1990-08       Impact factor: 3.332

3.  Cerebral pathways for calculation: double dissociation between rote verbal and quantitative knowledge of arithmetic.

Authors:  S Dehaene; L Cohen
Journal:  Cortex       Date:  1997-06       Impact factor: 4.027

4.  Architectures for numerical cognition.

Authors:  J I Campbell
Journal:  Cognition       Date:  1994-10

5.  The fractionation of arithmetical skills: a single case study.

Authors:  E K Warrington
Journal:  Q J Exp Psychol A       Date:  1982-02

6.  Time required for judgements of numerical inequality.

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

7.  Calculating without reading: unsuspected residual abilities in pure alexia.

Authors:  L Cohen; S Dehaene
Journal:  Cogn Neuropsychol       Date:  2000-09-01       Impact factor: 2.468

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

Review 9.  Varieties of numerical abilities.

Authors:  S Dehaene
Journal:  Cognition       Date:  1992-08

10.  Elementary subtraction.

Authors:  Donald J Seyler; Elizabeth P Kirk; Mark H Ashcraft
Journal:  J Exp Psychol Learn Mem Cogn       Date:  2003-11       Impact factor: 3.051

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  4 in total

1.  Number representation is influenced by numerical processing level: an ERP study.

Authors:  Junying Liang; Jun Yin; Tong Chen; Hui Chen; Xiaowei Ding; Mowei Shen
Journal:  Exp Brain Res       Date:  2012-01-18       Impact factor: 1.972

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

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

3.  Perceiving fingers in single-digit arithmetic problems.

Authors:  Ilaria Berteletti; James R Booth
Journal:  Front Psychol       Date:  2015-03-16

4.  Arithmetic Memory Is Modality Specific.

Authors:  Timothy Myers; Dénes Szücs
Journal:  PLoS One       Date:  2015-12-30       Impact factor: 3.240

  4 in total

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