Number Processing in Chinese-English Bilinguals

References

• Ashchraft , M. A. and & Christy , K. S. 1995 . The frequency of arithmetic facts in elementary texts: Addition and Multiplication in grade 1-6 . Journal for Research In Mathematics Education , 5 : 396 – 421 .
   Google Scholar
• Brysbaert , M. 1995 . Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding . Journal of Experimental Psychology: General , 124 : 434 – 452 .
   Web of Science ®Google Scholar
• Campbell , J. I. D. 1992 . “ In defense of the encoding-complex approach: Reply to McCloskey, Macaruso, & Whetstone ” . In The nature and origins of mathematical skill , Edited by: Campbell , J. I. D. 539 – 556 . Amsterdam : Elsevier .
   Google Scholar
• Campbell , J. I. D. 1994 . Architecture for numerical cognition . Cognition , 53 : 1 – 44 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. 1995 . Mechanisms of simple addition and multiplication: A modified network-lnterference theory and simulation . Mathematical Cognition , 1 : 121 – 164 .
   Google Scholar
• Campbell , J. I. D. 1997a . On the relation between skilled perfomance of simple division and multiplicaion . Journal of Experimental Psychology: Learning, Memory, and Cognition , 23 : 1140 – 1159 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. 1997b . Reading-based interference in cognitive arithmetic . Canadian Journal of Experimental Psychology , 51 : 74 – 81 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. 1998 . Notational and linguistic influences in cognitive arithmetic: Comment on Noël, Fias, A Brysbuert (1997) . Cognition , 67 : 353 – 364 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D and Clark , J. M. 1988 . An encoding-complex view of cognitive number processing:Comment on McCloskey, Sokol, & Goodman (1986) . Journal of Experimental Psycology: General , 117 : 204 – 214 .
   Web of Science ®Google Scholar
• Campbell , J. I. D and Clark , J. M. 1992 . “ Numerical cognition: An encoding-complex perspective ” . In The nature and origins of mathematical skills , Edited by: Campbell , J. I. D. 457 – 491 . Amsterdam : Elsevir Science .
   Google Scholar
• Cipolotti , L. and Butterworth , B. 1995 . Toward a multiroute model of number processing: Impaired number processing with preserved calculation skill . Journal of Experimental Psychology: General , 124 : 375 – 390 .
   Web of Science ®Google Scholar
• Cipolotti , L. , Warrington , E. K. and & Butterworth , B. 1995 . Selective imparment in manipulatingarbic numerals . Cortex , 31 : 73 – 86 .
   PubMed Web of Science ®Google Scholar
• Clark , J. M and Campbell , J. I. D. 1991 . Integrated versus modular theories of number skills and acalculia . Brain and Cognition , 17 : 204 – 239 .
   PubMed Web of Science ®Google Scholar
• Cohen , L. and Dehaene , S. 1994 . Amnesia for arithmetic facts: A single care study . Brain and Language , 47 : 214 – 232 .
   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. 1996 . The organization of brain activations in number comparison: Event-related potentials and the additive-factors method . Journal of Cognitive Neuroscience , 8 : 47 – 68 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. and Akhaein , R. 1995 . Attention, automaticity, and levels of representation in number processing . Journal of Experimental Psycohology: Learning, Memory, and Cognition , 21 : 314 – 326 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. , Bossini , S. and Giraux , P. 1993 . The mental representation of parity and number magnitude . Journal of Experimental Psycology: General , 122 : 371 – 396 .
   Web of Science ®Google Scholar
• Dehaene , S. and Cohen , L. 1991 . Two mental calculation systems: A case study of severe acalculiawith preserved approximation . Neuropsychologia , 29 : 1045 – 1074 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. and & Cohen , L. 1995 . Toward an anstomical and functional model of number processing . Mathematical Cognition , 1 : 83 – 120 .
   Google Scholar
• Dehaene , S. and & Mehler , J. 1992 . Cross-linguistic regularities in the frequency of number words . Cognition , 45 : 1 – 29 .
   PubMed Web of Science ®Google Scholar
• Fias , W. , Brysbaert , M. , Geypens , F. and 'Ydewille , G. 1996 . The importance of magnitude information in numerical processing: Evidence from the SNARC effect . Mathematical Cognition , 2 : 95 – 110 .
   Google Scholar
• Frenck-Mestre , C. A. and Vaid , J. 1993 . Activation of number fact in billinguals . Memory & Cognition , 21 : 809 – 818 .
   PubMed Web of Science ®Google Scholar
• Geary , D. C. 1996 . The problem-size effect in mental addition: Development and cross-nationaltrend . Mathematical Cognition , 2 : 63 – 93 .
   Google Scholar
• Geary , D. C , Cormier , P. , Goggin , J. P , Estrada , P. and Lunn , M. C. E. 1993 . Mental arithmetic: A componential analysis of speed-of processing across monolingual weak bilingual, and strongbillingual adults . International Journal of Psycology , 28 : 185 – 201 .
   Google Scholar
• Gonzalez , E. G. and & Kolers , P. A. 1987 . “ Notational constraints on mental operations ” . In Mathematical disabilities: A cognitive neuropsychological perspective , Edited by: Deloche , G. and Seron , X. 27 – 42 . Hillsdall, NJ : Lawrence Erlbaum Associated,, Inc .
   Google Scholar
• Kashiwagi , A. , Kashiwagi , T. and Hasegawa , T. 1987 . Improvement of deficits in mnemonic rhyme for multiplication in Japanese asphasics . Neuropsychologia , 25 : 443 – 447 .
   PubMed Web of Science ®Google Scholar
• Koechlin , E. , Naccache , L. , Block , E. and Dehaene , S. in press . Exploring the modularity of numerical representations with masked and unmasked semantic primes . Journal of Experimental Psycology: Human Perception and Performance ,
   Google Scholar
• LeFevre , J. 1998 . Interaction among encoding, calculation, and production Processes in the multiplication perfomance of Chinese-English bilinguals . Mathematical Cognition , 4 : 47 – 66 .
   Google Scholar
• LeFevre , J. , 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. and Liu , J. 1997 . The role of experience in numerical skill: Multiplication perfomance in adults from China and Canada . Mathematical Cognition , 3 : 31 – 62 .
   Google Scholar
• LeFevre , J. , Sadesky , G. S. and Bisanz , J. 1996 . Selection of procedures in mental addition: Reassessing the problem size effect in adults . Journal of Experimental Psycohology: Learning, Memory and Cognition , 22 : 216 – 230 .
   Web of Science ®Google Scholar
• Marsh , L. G. and & Mild , R. H. 1976 . Efficiency of arithmetic operations in bilinguals as a function of language . Memory & Cognition , 4 : 459 – 464 .
   PubMed Web of Science ®Google Scholar
• McClain , L. and Shih Huang , J. Y. 1982 . Speed of simple arithmetic in bilinguals . Memory & Cognition , 10 : 591 – 596 .
   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. , Macaruso , P. and & Whetstone , T. 1992 . “ The functional architecture of numerical processing mechanisms: Defending the modular model ” . In The nature and origins of mathematical skills , Edited by: Campbell , J. I. D. 493 – 537 . Amsterdam : Elsevier .
   Google Scholar
• McCloskey , M. , Sokol , S. M. and Goodman , R. A. 1986 . Cognitive processes in verbal-number production: inferences from the perfomance of brain-damaged subjects . Journal of Experimental Psychology: General , 115 : 307 – 330 .
   PubMed Web of Science ®Google Scholar
• McNeil , J. and Warrington , E. K. 1994 . A dissociation between addition and subtraction with written calculation . Neuropsychologia , 32 : 717 – 728 .
   PubMed Web of Science ®Google Scholar
• Meuter , R. F. I. and Allport , A. in press . Bilingual language switching in naming: Asymmetrical costs of language selection . Journal of Memory and Language ,
   Web of Science ®Google Scholar
• Miller , K. F. and Paredes , D. R. 1990 . Starting to add worse: Effects of learning to multiply on children's addition . Cognition , 37 : 213 – 242 .
   PubMed Web of Science ®Google Scholar
• Noël , 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
• Noël , M.-P. and & Seron , X. 1992 . Notational constraints and number processing: A reappraisal of the donniez and Kolers (1982) study . Quarterly Journal of Experimental Psychology , 45A : 451 – 478 .
   Google Scholar
• Paradis , M. 1993 . Linguistic, psycholinguistic, and neurolinguistic aspects of “interference” in bilingual speakers: The activation threshold hypothesis . International Journal of Psycholinguistics , 9 : 133 – 145 .
   Google Scholar
• Plaut , D. C. 1995 . Double dissociation without modularity: Evidence from connectionist neuropsychology . Journal of Clinical and Experimental Neuropsychology , 17 : 291 – 321 .
   PubMed Web of Science ®Google Scholar
• Rickard , T. C. and Bourne , L. E Jr. 1996 . Some tests of an identical elements model of basic arithmetic skills . Journal of Experimental Psychology: Learning, Memory, and Cognition ,
   PubMed Web of Science ®Google Scholar
• Sokol , S. M. , McCloskey , M. , Cohen , N. J. and Aliminosa , D. 1991 . Cognitive representations and Processes in arithmetic: Interferences from the performace of brain- damaged patients . Journal of Experimental Psychology: Learning, Memory and Cognition , 17 : 355 – 376 .
   PubMed Web of Science ®Google Scholar
• Vaid , J. and Frenck-Mestre , C. A. 1991 . Incidental memory for format of presentation of number stimuli: Evidence from monolinguals and bilinguals . Brain and Cognition , 17 : 272 – 284 .
   PubMed Web of Science ®Google Scholar
• Zbrodoff , N. J. 1995 . Why is 9 + 7 harder than 2 + 3? Strength and interference as explanations of the problem-size effect . Memory and Cognition , 23 : 689 – 700 .
   PubMed Web of Science ®Google Scholar