Literature DB >> 16686120

Calculation latency: the mu of memory and the tau of transformation.

Jamie I D Campbell1, Marcie Penner-Wilger.   

Abstract

Does numeral format (e.g., 4 + 8 vs. four + eight) affect calculation per se? University students (N = 47) solved single-digit addition problems presented as Arabic digits or English words and reported their strategies (memory retrieval or procedures such as counting or transformation). Decomposition of the response time (RT) distributions into mu (reflecting shift) and tau (reflecting skew) confirmed that retrieval trials contributed predominantly to mu whereas procedure trials contributed predominantly to tau. The format x problem size RT interaction (i.e., greater word-format RT costs for large problems than for small problems)was associated entirely with mu and not with tau. Reported use of procedures presented a corresponding format x size interaction. Together, these results indicate that, relative to the well-practiced digit format, the unfamiliar word format disrupts number-fact retrieval and promotes use of procedural strategies.

Mesh:

Year:  2006        PMID: 16686120     DOI: 10.3758/bf03193400

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


  21 in total

1.  Individual solution processes while solving addition and multiplication math facts in adults.

Authors:  S A Hecht
Journal:  Mem Cognit       Date:  1999-11

2.  Strategy choice for arithmetic verification: effects of numerical surface form.

Authors:  J I Campbell; J Fugelsang
Journal:  Cognition       Date:  2001-07

3.  What effects strategy selection in arithmetic? The example of parity and five effects on product verification.

Authors:  P Lemaire; L Reder
Journal:  Mem Cognit       Date:  1999-03

4.  Cognitive arithmetic across cultures.

Authors:  J I Campbell; Q Xue
Journal:  J Exp Psychol Gen       Date:  2001-06

5.  Decomposing the problem-size effect: a comparison of response time distributions across cultures.

Authors:  Marcie Penner-Wilger; Craig Leth-Steensen; Jo-Anne LeFevre
Journal:  Mem Cognit       Date:  2002-10

6.  INFERRED COMPONENTS OF REACTION TIMES AS FUNCTIONS OF FOREPERIOD DURATION.

Authors:  R H HOHLE
Journal:  J Exp Psychol       Date:  1965-04

Review 7.  Cognitive mechanisms in numerical processing: evidence from acquired dyscalculia.

Authors:  M McCloskey
Journal:  Cognition       Date:  1992-08

8.  Reading-based interference in cognitive arithmetic.

Authors:  J I Campbell
Journal:  Can J Exp Psychol       Date:  1997-03

9.  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

10.  Architectures for numerical cognition.

Authors:  J I Campbell
Journal:  Cognition       Date:  1994-10
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  4 in total

1.  Individual strategy ratings improve the control for task difficulty effects in arithmetic problem solving paradigms.

Authors:  Nadja Tschentscher; Olaf Hauk
Journal:  Front Psychol       Date:  2015-08-13

2.  Transcranial random noise stimulation mitigates increased difficulty in an arithmetic learning task.

Authors:  Tudor Popescu; Beatrix Krause; Devin B Terhune; Olivia Twose; Thomas Page; Glyn Humphreys; Roi Cohen Kadosh
Journal:  Neuropsychologia       Date:  2015-12-28       Impact factor: 3.139

3.  A Single-Boundary Accumulator Model of Response Times in an Addition Verification Task.

Authors:  Thomas J Faulkenberry
Journal:  Front Psychol       Date:  2017-07-18

4.  The componential processing of fractions in adults and children: effects of stimuli variability and contextual interference.

Authors:  Li Zhang; Qiaochu Fang; Florence C Gabriel; Dénes Szücs
Journal:  Front Psychol       Date:  2014-09-08
  4 in total

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