373
Views
39
CrossRef citations to date
0
Altmetric
Original Articles

Working memory demands of exact and approximate addition

&
Pages 187-212 | Received 01 Aug 2005, Published online: 22 Jan 2007

References

  • Ashcraft , M. H. 1995 . Cognitive psychology and simple arithmetic: A review and summary of new directions . Mathematical Cognition , 1 : 3 – 34 .
  • Ashcraft , M. H. and Battaglia , J. 1978 . Cognitive arithmetic: Evidence for retrieval and decision processes in mental addition . Journal of Experimental Psychology: Human Learning and Memory , 4 : 527 – 538 .
  • Ashcraft , M. H. and Kirk , E. P. 2001 . The relationships among working memory, math anxiety and performance . Journal of Experimental Psychology: General , 130 : 224 – 237 .
  • Baddeley , A. D. 1986 . Modularity, mass-action and memory . Quarterly Journal of Experimental Psychology: Human Experimental Psychology , 38A : 527 – 533 .
  • Baddeley , A. D. 1996 . Exploring the central executive . Quarterly Journal of Experimental Psychology: Human Experimental Psychology , 49A : 5 – 28 .
  • Baddeley , A. D. 2000 . “ Short-term and working memory ” . In The Oxford handbook of memory , Edited by: Tulving , E. and Craik , F. I. M. 77 – 92 . London : Oxford University Press .
  • Baddeley , A. D. 2002 . Is working memory still working? . The European Psychologist , 7 : 85 – 97 .
  • Baddeley , A. D. and Hitch , G. J. 1974 . “ Working memory ” . In The psychology of learning and motivation , Edited by: Bower , G. H. 47 – 89 . New York : Academic Press .
  • Campbell , J. I. D. 1987 . Production, verification, and priming of multiplication facts . Memory and Cognition , 15 : 349 – 364 .
  • Dehaene , S. , Piazza , M. , Pinel , P. and Cohen , L. 2003 . Three parietal circuits for number processing . Cognitive Neuropsychology , 20 : 487 – 506 .
  • Dehaene , S. , Spelke , E. , Pinel , P. , Stanescu , R. and Tsivkin , S. 1999 . Sources of mathematical thinking: Behavioral and brain-imaging evidence . Science , 284 : 970 – 974 .
  • De Rammelaere , S. , Stuyven , E. and Vandierendonck , A. 1999 . The contribution of working memory resources in the verification of simple mental arithmetic sums . Psychological Research , 62 : 72 – 77 .
  • De Rammelaere , S. , Stuyven , E. and Vandierendonck , A. 2001 . Verifying simple arithmetic sums and products: Are the phonological loop and the central executive involved? . Memory and Cognition , 29 : 267 – 273 .
  • DeStefano , D. and LeFevre , J. 2004 . The role of working memory in mental arithmetic . European Journal of Cognitive Psychology , 16 : 353 – 386 .
  • Dowker , A. 2003 . “ Young children's estimates for addition: The zone of partial knowledge and understanding ” . In The development of arithmetic concepts and skills: Constructing adaptive expertise , Edited by: Baroody , A. J. and Dowker , A. 243 – 265 . Hove, , UK : Lawrence Erlbaum Associates Ltd .
  • Duverne , S. , Lemaire , P. and Michel , B. F. 2003 . Alzheimer's disease disrupts arithmetic fact retrieval processes but not arithmetic strategy selection . Brain and Cognition , 52 : 302 – 318 .
  • El Yagoubi , R. , Lemaire , P. and Besson , M. 2003 . Different brain mechanisms mediate two strategies in arithmetic: Evidence from event-related potentials . Neuropsychologia , 41 : 855 – 862 .
  • French , J. W. , Ekstrom , R. B. and Price , I. A. 1963 . Kit of reference tests for cognitive factors , Princeton, NJ : Educational Testing Service .
  • Fürst , A. J. and Hitch , G. J. 2000 . Separate roles for executive and phonological components of working memory in mental arithmetic . Memory and Cognition , 28 : 774 – 782 .
  • Heathcote , D. 1994 . The role of visuo-spatial working memory in the mental addition of multi-digit addends . Current Psychology of Cognition , 13 : 207 – 245 .
  • Jones , D. , Farrand , P. , Stuart , G. and Morris , N. 1995 . Functional equivalence of verbal and spatial information in serial short-term memory . Journal of Experimental Psychology: Learning, Memory, and Cognition , 21 : 1008 – 1018 .
  • LeFevre , J. , DeStefano , D. , Coleman , B. and Shanahan , T. 2005 . “ Mathematical cognition and working memory ” . In Handbook of mathematical cognition , Edited by: Campbell , J. I. D. 361 – 377 . New York : Psychology Press .
  • LeFevre , J. , Greenham , S. L. and Waheed , N. 1993 . The development of procedural and conceptual knowledge in computational estimation . Cognition and Instruction , 11 : 95 – 132 .
  • LeFevre , J. , Smith-Chant , B. L. , Hiscock , K. , Daley , K. E. and Morris , J. 2003 . “ Young adults’ strategic choices in simple arithmetic: Implications for the development of mathematical representations ” . In The development of arithmetic concepts and skills: Constructing adaptive expertise , Edited by: Baroody , A. J. and Dowker , A. 203 – 228 . Hove, , UK : Lawrence Erlbaum Associates Ltd .
  • Lemaire , P. and Lecacheur , M. 2002 . Children's strategies in computational estimation . Journal of Experimental Child Psychology , 82 : 281 – 304 .
  • Lemaire , P. , Lecacheur , M. and Farioli , F. 2000 . Children's strategy use in computational estimation . Canadian Journal of Experimental Psychology , 54 : 141 – 148 .
  • Logie , R. H. 1995 . Visuo-spatial working memory , Hove, , UK : Lawrence Erlbaum Associates Ltd. .
  • Logie , R. H. , Gilhooly , K. J. and Wynn , V. 1994 . Counting on working memory in mental arithmetic . Memory and Cognition , 22 : 395 – 410 .
  • Masson , M. E. J. and Loftus , G. R. 2003 . Using confidence intervals for graphically based data interpretation . Canadian Journal of Experimental Psychology , 57 : 203 – 220 .
  • Miyake , A. and Shah , P. 1999 . “ Toward unified theories of working memory: Emerging general consensus, unresolved theoretical issues, and future research directions ” . In Models of working memory: Mechanisms of active maintenance and executive control , Edited by: Miyake , A. and Shah , P. 442 – 481 . Cambridge, , UK : Cambridge University Press .
  • Seitz , K. and Schumann-Hengsteler , R. 2000 . Mental multiplication and working memory . European Journal of Cognitive Psychology , 12 : 552 – 570 .
  • Seitz , K. and Schumann-Hengsteler , R. 2002 . Phonological loop and central executive processes in mental addition and multiplication . Psychologische Beitrage , 44 : 275 – 302 .
  • Seyler , D. J. , Kirk , E. P. and Ashcraft , M. H. 2003 . Elementary subtraction . Journal of Experimental Psychology: Learning, Memory, and Cognition , 29 : 1339 – 1352 .
  • Siegler , R. S and Booth , J. L. 2005 . “ Development of numerical estimation: A review ” . In Handbook of mathematical cognition , Edited by: Campbell , J. I. D. 197 – 212 . New York : Psychology Press .
  • Stanescu-Cosson , R. , Pinel , P. , van de Moortele , P. , Le Biahan , D. , Cohen , L. and Dehaene , S. 2000 . Understanding dissociations in dyscalculia: A brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation . Brain , 123 : 2240 – 2255 .
  • Trbovich , P. and LeFevre , J. 2003 . Phonological and visual working memory in mental addition . Memory and Cognition , 31 : 738 – 745 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.