Representing arithmetic table facts in memory: Evidence from acquired impairments

References

• Blankenbeiger , S. and Vorberg , D. 1997 . The singleformat assumption in arithmetic fact retrieval . Journal of Experimental Psychology: Learning, Memory, and Cognition , 23 : 721 – 738 .
   Web of Science ®Google Scholar
• Brysbaert , M. , Fias , W. and Noel , M.-P. 1998 . The Whorfian hypothesis and numerical cognition: Is “twenty-four” processed in the same way as “fourand-twenty”? . Cognition , 66 : 51 – 77 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. 1999 . The surface form ÷ problem size interaction in cognitive arithmetic: Evidence against an encoding locus . Cognition , 70 : B2S – B33 .
   Web of Science ®Google Scholar
• Campbell , J. I. D. and Graham , D. J. 1985 . Mental multiplication skill: Structure, process, and acquisition. Special Issue: Skill . Canadian Journal of Psychology , 39 : 338 – 366 .
   Web of Science ®Google Scholar
• Campbell , J. I. D. 1994 . Architectures for numerical cognition . Cognition , 53 : 1 – 44 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. 1997 . Reading-based interference in cognitive arithmetic . Canadian Journal of Experimental Psychology , 51 : 74 – 81 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. 1998 . Notation and linguistic influence in cognitive arithmetic : Comment on Noel, Fias, and Brysbaert . Cognition , 70 : 25 – 33 .
   Web of Science ®Google Scholar
• Chochon , F. , Cohen , L. , Van de Moortele , P. P. and Dehaene , S. 1999 . Differential contributions of the left and right inferior parietal lobules to number processing . Journal of Cognitive Neuroscience , 11 : 617 – 630 .
   PubMed Web of Science ®Google Scholar
• Cohen , L. and Dehaene , S. 1998 . Competition between past and present-Assessment and interpretation of verbal perseverations . Brain , 121 : 1641 – 1651 .
   PubMed Web of Science ®Google Scholar
• Cohen , L. and Dehaene , S. 2000 . Calculating without reading: Unsuspected residual abilities in pure alexia . Cognitive Neuropsychology , 17 : 563 – 583 .
   PubMed Web of Science ®Google Scholar
• Cohen , L. , Dehaene , S. , Chochon , F. , Lehericy , S. and Naccache , L. 2000 . Language and calculation within the parietal lobe: A combined cognitive, anatomical and fMRI study . Neuropsychologia , 38 : 1426 – 1440 .
   PubMed Web of Science ®Google Scholar
• Dagenbach , D. and McCloskey , M. 1992 . The organisation of arithmetic facts in memory: Evidence from a brain-damaged patient . Brain and Cognition , 20 : 345 – 366 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. 1992 . Varieties of numerical abilities . Cognition , 44 : 1 – 42 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. and Cohen , L. 1991 . Two mental calculation systems: A case study of severe acalculia with preserved approximation . Neuropsychologia , 29 : 1045 – 1074 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. and Cohen , L. 1995 . Towards an anatomical and functional model of number processing . Mathematical Cognition , 1 : 83 – 120 .
   Google Scholar
• Dehaene , S. and Cohen , L. 1997 . Cerebral pathways for calculation: Double dissociation between rote verbal and quantitative knowledge of arithmetic . Cortex , 33 : 219 – 250 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. , Spelke , E. , Finel , P. , Stanescu , R. and Tsivkin , S. 1999 . Sources of mathematical thinking: Behavioral and brain-imaging evidence . Science , 284 : 970 – 974 .
   PubMed Web of Science ®Google Scholar
• Delazer , M. and Bartha , L. 2001 . Transcoding and calculation in aphasia . Aphasiology , 15 : 649 – 679 .
   Web of Science ®Google Scholar
• Delazer , M. and Benke , T. 1997 . Arithmetic facts without meaning . Cortex , 33 : 697 – 710 .
   PubMed Web of Science ®Google Scholar
• Delazer , M. , Girelli , L. , Semenza , C. and Denes , G. 1999 . Numerical skills and aphasia . Journal of the International Neuropsychological Society , 5 : 213 – 221 .
   PubMed Web of Science ®Google Scholar
• Frenck-Mestre , C. A. and Vaid , J. 1993 . Activation of number facts in bilinguals . Memory and Cognition , 21 : 809 – 818 .
   PubMed Web of Science ®Google Scholar
• Fulbright , R. K. , Molfese , D. L. , Stevens , A. A. , Skudlarski , P. , Lacadie , C. M. and Gore , J. C. 2000 . Cerebral activation during multiplication: A functional MR imaging study of number processing . American Journal of Neuroradiology , 21 : 1048 – 1054 .
   PubMed Web of Science ®Google Scholar
• Gallistel , C. R. and Gelman , R. 1992 . Preverbal and verbal counting and computation . Cognition , 44 : 43 – 74 .
   PubMed Web of Science ®Google Scholar
• Girelli , L. and Delazer , M. 1999 . Differential effects of verbal paraphasias on calculation . Brain and Language , 69 : 361 – 364 .
   Web of Science ®Google Scholar
• Girelli , L. , Delazer , M. , Semenza , C. and Denes , G. 1996 . The representation of arithmetical facts: Evidence from two rehabilitation studies . Cortex , 32 : 49 – 66 .
   PubMed Web of Science ®Google Scholar
• Goodglass , H. and Kaplan , E. 1983 . The assessment of aphasia and related disorders , Philadelphia, PA : Lea & Febiger .
   Google Scholar
• Hittmair-Delazer , M. , Semenza , C. and Denes , G. 1994 . Concepts and facts in calculation . Brain , 117 : 715 – 728 .
   PubMed Web of Science ®Google Scholar
• Kolers , P. A. 1968 . Bilingualism and information processing . Scientific American , 218 : 78 – 86 .
   PubMed Web of Science ®Google Scholar
• Lampl , Y. , Eshel , Y. , Gilad , R. and Sarova-Pinhas , I. 1994 . Selective acalculia with sparing ofthe subtraction process in a patient with left parietotemporal haemorrhage . Neurology , 44 : 1759 – 1761 .
   PubMed Web of Science ®Google Scholar
• LeFevre , J.-A. , Bisanz , J. , Daley , K. E. , Buffone , L. , Greenham , S. L. and Sadesky , G. S. 1996 . Multiple routes to solution of single-digit multiplication problems . Journal of Experimental Psychology: General , 125 : 284 – 306 .
   Web of Science ®Google Scholar
• LeFevre , J.-A. , Qingwen , L. , Smith-Chant , B. L. and Mullins , D. B. 2001 . Multiplication by eye and by ear for Chinese-speaking and English-speaking adults . Canadian Journal of Experimental Psychology , 54 : 277 – 284 .
   Web of Science ®Google Scholar
• Levelt , W. J. M. 1989 . Speaking: From intention to articulation , Cambridge, MA : MIT Press .
   Google Scholar
• Marsh , L. G. and Maki , R. H. 1976 . Efficiency of arithmetic operations in bilinguals as a function of language . Memory and Cognition , 4 : 459 – 464 .
   PubMed Web of Science ®Google Scholar
• McCloskey , M. 1992 . Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia . Cognition , 44 : 107 – 157 .
   PubMed Web of Science ®Google Scholar
• McCloskey , M. , Aliminosa , D. and Macaruso , P. 1991 . Theory-based assessment of acquired dyscalculia. Special Issue: Cognitive and neuropsychological aspects of calculation disorders . Brain and Cognition , 17 : 285 – 308 .
   PubMed Web of Science ®Google Scholar
• McCloskey , M. and Macaruso , P. 1995 . Representing and using numerical information . American Psychologist , 50 : 351 – 363 .
   PubMed Web of Science ®Google Scholar
• McCloskey , M. , Sokol , S. M. and Goodman , R. A. 1986 . Cognitive processes in verbal-number production: Inferences from the performance of brain-damaged subjects . Journal of Experimental Psychology: General , 115 : 307 – 330 .
   PubMed Web of Science ®Google Scholar
• McNeil , J. and Warrington , E. 1994 . A dissociation between addition and subtraction with written calculation . Neuropsychologia , 32 : 717 – 728 .
   PubMed Web of Science ®Google Scholar
• Noel , M.-P. , Fias , W. and Brysbaert , M. 1997 . About the influence of the presentation format on arithmetical- fact retrieval processes . Cognition , 63 : 335 – 374 .
   PubMed Web of Science ®Google Scholar
• Noel , M.-P. , Robert , A. and Brysbaert , M. 1998 . Does language really matter when doing arithmetic? Reply to Campbell (1998) . Cognition , 67 : 365 – 373 .
   PubMed Web of Science ®Google Scholar
• Noel , M.-P. and Seron , X. 1992 . Notational constraints and number processing: A reappraisal of the Gonzales and Kolers (1982) study . Quarterly Journal of Experimental Psychology , 45A : 451 – 478 .
   Web of Science ®Google Scholar
• Noel , M.-P. and Seron , X. 1993 . Arabic number reading deficit--a single-case study or when 236 is read (2306) and judged superior to 1258 . Cognitive Neuropsychology , 10 : 317 – 339 .
   Web of Science ®Google Scholar
• Pesenti , M. , Seron , X. and Vandedinden , M. 1994 . Selective impairment as evidence for mental organization of arithmetical facts--Bb, a case of preserved subtraction . Cortex , 30 : 661 – 671 .
   PubMed Web of Science ®Google Scholar
• Pesenti , M. , Thioux , M. , Seron , X. and De Voider , A. 2000 . Neuroanatomical substrates of Arabic number processing, numerical comparison, and simple addition: A PET study . Journal of Cognitive Neuroscience , 12 : 461 – 479 .
   PubMed Web of Science ®Google Scholar
• Rickard , T. C. , Romero , S. G. , Basso , G. , Wharton , C. , Flitman , S. and Grafman , J. 2000 . The calculating brain: An fMRI study . Neuropsychologia , 38 : 325 – 335 .
   PubMed Web of Science ®Google Scholar
• Rossor , M. N. , Warrington , E. K. and Cipolotti , L. 1995 . The isolation of calculation skills . Journal of Neurology , 242 : 78 – 81 .
   PubMed Web of Science ®Google Scholar
• Shanon , B. 1984 . The polyglot mismatch and the monolingual tie. Observations regarding the meaning of numbers and the meaning of words . New Ideas in Psychology , 2 : 75 – 79 .
   Web of Science ®Google Scholar
• Siegler , R. S. 1988 . Strategy choice procedures and the development of multiplication skill . Journal of Experimental Psychology: General , 117 : 258 – 275 .
   PubMed Web of Science ®Google Scholar
• Sokol , S. M. , McCloskey , M. , Cohen , N. J. and Aliminosa , D. 1991 . Cognitive representations and processes in arithmetic: Inferences from the performance of brain-damaged patients . Journal of Experimental Psychology: Learning, Memory, and Cognition , 17 : 355 – 376 .
   PubMed Web of Science ®Google Scholar
• Spelke , E. S. and Tsivkin , S. 2001 . Language and number: A bilingual training study . Cognition , 78 : 45 – 88 .
   PubMed Web of Science ®Google Scholar
• van Harskamp , N. J. and Cipolotti , L. 2001 . Selective impairments for addition, subtraction, and multiplication. Implications for the organisation of arithmetical facts . Cortex , 37 : 363 – 388 .
   PubMed Web of Science ®Google Scholar
• Warrington , E. K. 1982 . The fractionation of arithmetical skills: A single case study . Quarterly Journal of Experimental Psychology , 34A : 31 – 51 .
   Web of Science ®Google Scholar