Age-Independent and Age-Dependent Neural Substrate for Single-Digit Multiplication and Addition Arithmetic Problems

REFERENCES

• Altenmüller , E. , Kriechbaum , W. , Helber , U. , Moini , S. , Dichgans , J. and Petersen , D. 1993 . Cortical DC-potentials in identification of the language-dominant hemisphere: linguistical and clinical aspects . Acta neurochirurgica , 56 ( Suppl ) : 20 – 33 .
   Google Scholar
• Ansari , D. , Garcia , N. , Lucas , E. , Hamon , K. and Dhital , B. 2005 . Neural correlates of symbolic number processing in children and adults . Neuroreport , 16 : 1769 – 1773 .
   PubMed Web of Science ®Google Scholar
• Ashcraft , M. H. 1982 . The development of mental arithmetic: A chronometric approach . Developmental Review , 2 : 213 – 236 .
   Web of Science ®Google Scholar
• Bentin , S. , Mouchetant-Rostaing , Y. , Giard , M. H. , Echallier , J. F. and Pernier , J. 1999 . ERP manifestations of processing printed words at different psycholinguistic levels: time course and scalp distribution . Journal of Cognitive Neuroscience , 11 : 235 – 260 .
   PubMed Web of Science ®Google Scholar
• Brem , S. , Bucher , K. , Halder , P. , Summers , P. , Dietrich , T. Martin , E. 2006 . Evidence for developmental changes in the visual word processing network beyond adolescence . NeuroImage , 29 : 822 – 837 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. and Gunter , R. 2002 . Calculation, culture, and the repeated operand effect . Cognition , 86 : 71 – 96 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. I. D. and Oliphant , M. 1992 . “ Representation and retrieval of arithmetic facts: A network-interference model and simulation ” . In The nature and origins of mathematical skills , Edited by: Campbell , J. I. D. 331 – 364 . Amsterdam : Elsevier .
   Google Scholar
• Cantlon , J. F. , Brannon , E. M. , Carter , E. J. and Pelphrey , K. A. 2006 . Functional imaging of numerical processing in adults and 4-year-old children . Plos Biology , 4 : e125
   PubMed Web of Science ®Google Scholar
• Corbetta , M. , Akbudak , E. , Conturo , T. E. , Snyder , A. Z. , Ollinger , J. M. Drury , H. A. 1998 . A common network of functional areas for attention and eye movements . Neuron , 21 : 761 – 773 .
   PubMed Web of Science ®Google Scholar
• Dale , A. M. , Liu , A. K. , Fischl , B. R. , Buckner , R. L. , Belliveau , J. W. Lewine , J. D. 2000 . Dynamic statistical parametric mapping: combining fMRI and MEG for high-resolution imaging of cortical activity . Neuron , 26 : 55 – 67 .
   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 Psychology: General , 122 : 371 – 396 .
   Web of Science ®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. , Stanescu , R. , Pinel , P. and Tsivkin , S. 1999 . Sources of mathematical thinking: Behavioral and brain-imaging evidence . Science , 284 : 970 – 974 .
   PubMed Web of Science ®Google Scholar
• de Hevia , M. D. , Vallar , G. and Girelli , L. 2008 . Visualizing numbers in the mind's eye: The role of visuo-spatial processes in numerical abilities . Neuroscience & Biobehavioral Reviews , 32 : 1361 – 1372 .
   PubMed 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. , Domahs , F. , Bartha , L. , Brenneis , C. , Lochy , A. Trieb , T. 2003 . Learning complex arithmetic—An fMRI study . Cognitive Brain Research , 18 : 76 – 88 .
   PubMedGoogle Scholar
• Electrical Geodesics . 2006 . Net station waveform tools technical manual , S-MAN-200-WFTR-001 . (Tech. Rep.). EGI.
   Google Scholar
• Friedman , D. , Ritter , W. and Snodgrass , J. G. 1996 . ERPs during study as a function of subsequent direct and indirect memory testing in young and old adults . Cognitive Brain Research , 4 : 1 – 13 .
   PubMedGoogle Scholar
• Galfano , G. , Mazza , V. , Angrilli , A. and Umiltà , C. 2004 . Electrophysiological correlates of stimulus-driven multiplication facts retrieval . Neuropsychologia , 42 : 1370 – 1382 .
   PubMed Web of Science ®Google Scholar
• Geary , D. C. and Hoard , M. K. 2002 . “ Learning disabilities in basic mathematics ” . In Mathematical cognition , Edited by: Royer , J. M. 93 – 115 . Greenwich, CT : Information Age Publication .
   Google Scholar
• Geary , D. C. , Nugent , L. , Hoard , M. K. and Byrd-Craven , J. 2007 . “ Strategy use, long-term memory, and working memory capacity ” . In Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities , Edited by: Berch , D. B. and Mazzocco , M. M. M. 83 – 105 . Baltimore, MD : Paul H. Brookes Publishing Co .
   Google Scholar
• Grossi , G. , Coch , D. , Coffey-Corina , S. , Holcomb , P. J. and Neville , H. J. 2001 . Phonological processing in visual rhyming: a developmental ERP study . Journal of Cognitive Neuroscience , 13 : 610 – 625 .
   PubMed Web of Science ®Google Scholar
• Heil , M. and Rolke , B. 2002 . Towards a chronopsychophysiology of mental rotation . Psychophysiology , 39 : 414 – 422 .
   PubMed Web of Science ®Google Scholar
• Holcomb , P. J. , Coffey , S. A. and Neville , H. J. 1992 . Visual and auditory sentence processing: a developmental analysis using event-related brain potentials . Developmental Neuropsychology , 8 : 203 – 241 .
   Web of Science ®Google Scholar
• Kawashima , R. , Taira , M. , Okita , K. , Inoue , K. , Tajima , N. Yoshida , H. 2004 . A functional MRI study of simple arithmetic—A comparison between children and adults . Cognitive Brain Research , 18 : 225 – 231 .
   Google Scholar
• LaBar , K. S. , Gitelman , D. R. , Parrish , T. B. and Mesulam , M. 1999 . Neuroanatomic overlap of working memory and spatial attention networks: a functional MRI comparison within subjects . NeuroImage , 10 : 695 – 704 .
   PubMed Web of Science ®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 performance in adults from China and Canada . Mathematical Cognition , 3 : 31 – 62 .
   Google Scholar
• Lemaire , P. and Fayol , M. 1995 . When plausibility judgments supersede fact retrieval: The example of the odd-even effect on product verification . Memory & Cognition , 23 : 34 – 48 .
   PubMed Web of Science ®Google Scholar
• Niedeggen , M. and Rosler , F. 1999 . N400 effects reflect activation spread during retrieval of arithmetic facts . Psychological Science , 10 : 271 – 276 .
   Web of Science ®Google Scholar
• Niznikiewicz , M. and Squires , N. K. 1996 . Phonological processing and the role of strategy in silent reading: Behavioral and electrophysiological evidence . Brain and Language , 52 : 342 – 364 .
   PubMed Web of Science ®Google Scholar
• Perchet , C. and Garcia-Larrea , L. 2005 . Learning to react: Anticipatory mechanisms in children and adults during a visuospatial attention task . Clinical Neurophysiology , 116 : 1906 – 1917 .
   Google Scholar
• Pesenti , M. , Seron , X. and van der Linden , M. 1994 . Selective impairment as evidence for mental organization of arithmetic facts: BB, a case of preserved subtraction . Cortex , 30 : 661 – 671 .
   PubMed Web of Science ®Google Scholar
• Piazza , M. , Izard , V. , Pinel , P. , Le Bihan , D. and Dehaene , S. 2004 . Tuning curves for approximate numerosity in the human intraparietal sulcus . Neuron , 44 : 547 – 555 .
   PubMed Web of Science ®Google Scholar
• Yulin , Qin , Carter , C. S. , Silk , E. M. , Stenger , A. , Fissell , K. Goode , A. 2004 . The change of the brain activation patterns as children learn algebra equation solving . Proceedings of the National Academy of Sciences , 101 : 5686 – 5691 .
   Google Scholar
• Rivera , S. M. , Reiss , A. L. , Eckert , M. A. and Menon , V. 2005 . Developmental changes in mental arithmetic: Evidence for increased functional specialization in the left inferior parietal cortex . Cerebral Cortex , 15 : 1779 – 1790 .
   PubMed Web of Science ®Google Scholar
• Roussel , J. , Fayol , M. and Barrouillet , P. 2002 . Procedural vs. direct retrieval strategies in arithmetic: A comparison between additive and multiplicative problem solving . European Journal of Cognitive Psychology , 14 : 61 – 104 .
   Web of Science ®Google Scholar
• Rowan , A. , Liégeois , F. , Vargha-Khadem , F. , Gadian , D. , Connelly , A. and Baldeweg , T. 2004 . Cortical lateralization during verb generation: a combined ERP and fMRI study . Neuroimage , 22 : 665 – 675 .
   Google Scholar
• Rugg , M. D. 1984 . Event-related potentials and the phonological processing of words and non-words . Neuropsychologia , 22 : 435 – 443 .
   PubMed Web of Science ®Google Scholar
• Siegler , R. S. and Shipley , E. 1995 . “ Variation, selection, and cognitive change ” . In Developing cognitive competence: New approaches to process modeling , Edited by: Halford , G. and Simon , T. 31 – 76 . Hillsdale, NJ : Lawrence Erlbaum Associates, Inc .
   Google Scholar
• Szücs , D. and Csépe , V. 2004 . Access to numerical information is dependent on the modality of stimulus presentation in mental addition: A combined ERP and behavioral study . Cognitive Brain Research , 19 : 10 – 27 .
   PubMedGoogle Scholar
• Yoshino , A. , Inoue , M. and Suzuki , A. 2000 . A topographic electrophysiologic study of mental rotation . Cognitive Brain Research , 9 : 121 – 124 .
   PubMedGoogle Scholar
• Zhou , X. , Chen , C. , Zhang , H. , Zhou , R. , Zhao , H. Chen , C. 2006 . Event-related potentials of single-digit addition, subtraction, and multiplication . Neuropsychologia , 44 : 2500 – 2507 .
   PubMed Web of Science ®Google Scholar
• Zhou , X. , Chen , C. , Zang , Y. , Dong , Q. , Chen , C. Qiao , S. 2007 . Dissociated brain organizations for single-digit addition and multiplication . NeuroImage , 35 : 871 – 880 .
   PubMed Web of Science ®Google Scholar
• Zorzi , M. , Priftis , K. and Umiltà , C. 2002 . Brain damage: Neglect disrupts the mental number line . Nature , 417 : 138 – 139 .
   PubMed Web of Science ®Google Scholar