Literature DB >> 18927028

Subtraction by addition.

Jamie I D Campbell1.   

Abstract

University students' self-reports indicate that they often solve basic subtraction problems (13 - 6 = ?) by reference to the corresponding addition problem (6 + 7 = 13; therefore, 13 - 6 = 7). In this case, solution latency should be faster with subtraction problems presented in addition format (6 + _ = 13) than in standard subtraction format (13 - 6 = 3. In Experiment 1, the addition format resembled the standard layout for addition with the sum on the right (6 + _ = 13), whereas in Experiment 2, the addition format resembled subtraction with the minuend on the left (13 = 6 + _. Both experiments demonstrated a latency advantage for large problems (minuend > 10) in the addition format as compared with the subtraction format (13 - 6 = _), although the effect was larger in Experiment 1 (254 msec) than in Experiment 2 (125 msec). Small subtractions (minuend < or = 10) in Experiment 1 were solved equally quickly in the subtraction or addition format, but in Experiment 2, performance on small problems was faster in the standard format(5 - 3 = _) than in the addition format(5 = 3 + _). The results indicate that educated adults often use addition reference to solve large simple subtraction problems, but that they rely on direct memory retrieval for small subtractions.

Mesh:

Year:  2008        PMID: 18927028     DOI: 10.3758/MC.36.6.1094

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


  18 in total

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

2.  Division by multiplication.

Authors:  J I Campbell
Journal:  Mem Cognit       Date:  1999-09

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Review 5.  Cognitive arithmetic: a review of data and theory.

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

7.  A revised identical elements model of arithmetic fact representation.

Authors:  Timothy C Rickard
Journal:  J Exp Psychol Learn Mem Cogn       Date:  2005-03       Impact factor: 3.051

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Authors:  Jo-Anne LeFevre; Diana DeStefano; Marcie Penner-Wilger; Karen E Daley
Journal:  Can J Exp Psychol       Date:  2006-09

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

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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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  9 in total

1.  Retrieval savings with nonidentical elements: the case of simple addition and subtraction.

Authors:  Jamie I D Campbell; Heather Agnew
Journal:  Psychon Bull Rev       Date:  2009-10

Review 2.  "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

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

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5.  Development of common neural representations for distinct numerical problems.

Authors:  Ting-Ting Chang; Miriam Rosenberg-Lee; Arron W S Metcalfe; Tianwen Chen; Vinod Menon
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6.  Impact of optokinetic stimulation on mental arithmetic.

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7.  Single-digit arithmetic processing-anatomical evidence from statistical voxel-based lesion analysis.

Authors:  Urszula Mihulowicz; Klaus Willmes; Hans-Otto Karnath; Elise Klein
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8.  Language and Arithmetic: A Failure to Find Cross Cognitive Domain Semantic Priming Between Exception Phrases and Subtraction or Addition.

Authors:  Golnoush Ronasi; Martin H Fischer; Malte Zimmermann
Journal:  Front Psychol       Date:  2018-08-23

9.  The role of task-related learned representations in explaining asymmetries in task switching.

Authors:  Ayla Barutchu; Stefanie I Becker; Olivia Carter; Robert Hester; Neil L Levy
Journal:  PLoS One       Date:  2013-04-16       Impact factor: 3.240

  9 in total

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