Skip to main content
SpringerLink
Log in

Zahlenverarbeitung und Rechnen

  • Chapter

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Funktionelle MRT in Psychiatrie und Neurologie

  • 4618 Accesses

Zusammenfassung

Zahlen werden nicht als eine Entität verarbeitet. Eine häufige Beobachtung im klinischen Alltag ist, dass Patienten bestimmte Aufgaben mit Zahlen problemlos ausführen können, während ihnen andere einfache Aufgaben große Schwierigkeiten bereiten. So können beispielsweise Pa tienten mit Läsionen im Versorgungsgebiet der linken Arteria cerebri media im Allgemeinen Größenvergleiche zwischen arabischen Zahlen noch ohne Fehler ausführen, während sie gleichzeitig unfähig sind, selbst einfachste Zahlen sicher zu benennen.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

21.4 Literatur

  • Burbaud P Degreze P, Lafon P Franconi J.M, Bouligand B Bioulac B, Caillé JM, Allard M (1995) Lateralization of prefrontal activation during internal mental calculation: a functional magnetic resonance imaging study. J Neurophysiol 74:2194–2200

    PubMed  CAS  Google Scholar 

  • Burbaud P, Camus O, Guehl D, Bioulac B, Caille JM, Allard M (1999) A functional magnetic resonance imaging study of mental subtraction in human subjects. Neurosci Lett 273:195–199

    Article  PubMed  CAS  Google Scholar 

  • Butterworth B (1999) The mathematical brain. Macmillan, London

    Google Scholar 

  • Chochon F, Cohen L, van de Moortele PF Dehaene S (1999) Differential contributions of the left and right inferior parietal lobules to number processing. J Cog Neurosci 11:617–630

    Article  CAS  Google Scholar 

  • Code C, Cowell S, Egan G, Watson J, Harasty J (1999) Mental calculation and number word repetition: a PET study. Brain Lang 69:490–492

    Google Scholar 

  • Cohen L, Dehaene S (2000) Calculating without reading: unsuspected residual abilities in pure alexia. Cogn Neuropsychol 17:563–583

    Article  Google Scholar 

  • Cohen L, Dehaene S, Chochon F, Lehéricy S Naccache L (2000) Language and calculation within the parietal lobe: A combined cognitive, anatomical and fMRI study. Neuropsychologia 38:1426–1440

    Article  PubMed  CAS  Google Scholar 

  • Corbetta M, Kincade JM, Ollinger JM, McAvoy MP, Shulman GL (2000) Voluntary orienting is dissociated from target detection in human posterior parietal cortex. Nat Neurosci 3:292–297

    Article  PubMed  CAS  Google Scholar 

  • Cowell SF, Egan GF, Code C, Harasty J, Watson JD (2000) The functional neuroanatomy of simple calculation and number repetition: a parametric PET activation study. NeuroImage 12:565–573

    Article  PubMed  CAS  Google Scholar 

  • Dambeck N (2003) Notations-, Aufgaben-und Strategiespezifität in der Zahlenverarbeitung: eine fMRT Studie. Unveröffentlichte Dissertation, RWTH Aachen, Aachen, Germany

    Google Scholar 

  • De Jong BM, van Zomeren AH, Willemsen AT, Paans AM (1996) Brain activity related to serial cognitive performance resembles circuitry of higher order motor control. Exp Brain Res 109:136–140

    Article  PubMed  Google Scholar 

  • Dehaene S (1992) Varieties of numerical abilities. Cognition 44:1–42

    Article  PubMed  CAS  Google Scholar 

  • Dehaene S (1997) The number sense. Oxford University Press, New York

    Google Scholar 

  • Dehaene S, Cohen L (1995) Towards an anatomical and functional model of number processing. Math Cogn 1:83–120

    Google Scholar 

  • Dehaene S, Cohen L (1997) Cerebral pathways for calculation: Double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex 33:219–250

    PubMed  CAS  Google Scholar 

  • Dehaene S, Cohen L (1999) Language and elementary arithmetic: Dissociations between operations. Brain Lang 69(3):492–494

    Google Scholar 

  • Dehaene S, Tzourio N, Frak V, Raynaud L, Cohen L, Mehler J, Mazoyer B (1996) Cerebral activations during number multiplication and comparison: a PET study. Neuropsychologia 34:1097–1106

    Article  PubMed  CAS  Google Scholar 

  • Dehaene S, Spelke E, Pinel P, Stanescu R, Tsivkin S (1999) Sources of mathematical thinking: behavioral and brain-imaging evidence. Science 284:970–974

    Article  PubMed  CAS  Google Scholar 

  • Dehaene S, Piazza M, Pinel P, Cohen L (2003) Three parietal circuits for number processing. Cogn Neuropsych 20:487–506

    Article  Google Scholar 

  • Delazer M, Domahs F, Bartha L, Lochy A, Trieb T, Benke T (2003) Learning complex arithmetic — a fMRI study. Cogn Brain Res 18:76–88

    Article  CAS  Google Scholar 

  • Fias W, Lammertyn J, Reynvoet B, Dupont P, Orban GA (2003) Parietal representation of symbolic and nonsymbolic magnitude. J Cogn Neurosci 15:47–56

    Article  PubMed  Google Scholar 

  • Fiez JA, Petersen SE (1998) Neuroimaging studies of word reading. Proc Natl. Acad Sci USA 95:914–921

    Article  PubMed  CAS  Google Scholar 

  • Ghatan PH, Hsieh JC, Petersson KM, Stone-Elander S, Ingvar M (1998) Coexistence of attention-based facilitation and inhibition in the human cortex. NeuroImage 7:23–29

    Article  PubMed  CAS  Google Scholar 

  • Graf W, Nuerk HC, Willmes, K (2003) Zahlenverarbeitungs-und Rechenschwierigkeiten bei Aphasie. Aphasie und verwandte Gebiete 2:2–28

    Google Scholar 

  • Gruber O, Indefrey P, Steinmetz H, Kleinschmidt A (2001) Dissociating neural correlates of cognitive components in mental calculation. Cereb Cortex 11:350–359

    Article  PubMed  CAS  Google Scholar 

  • Kazui H, Kitagaki H, Mori E (2000) Cortical activation during retrieval of arithmetic facts and actual calculation: a functional magnetic resonance imaging study. Psych Clin Neurosc 54:479–485

    Article  CAS  Google Scholar 

  • Le Clec’H G, Dehaene S, Cohen L, Mehler J, Dupoux E, Poline JB, Lehericy S, van de Moortele PF, Le Bihan D (2000) Distinct cortical areas for names of numbers and body parts independent of language and input modality. NeuroImage 12:381–391

    Article  PubMed  Google Scholar 

  • Lee KM (2000) Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia. Ann Neurol 48:657–661

    Article  PubMed  CAS  Google Scholar 

  • Naccache L, Dehaene S (2001) The priming method: Imaging unconscious repetition priming reveals an abstract representation of number in the parietal lobes. Cereb Cortex 11(10):966–974

    Article  PubMed  CAS  Google Scholar 

  • Nuerk HC, Iversen W, Willmes K (2004) Notational modulation of the SNARC and the MARC (Linguistic Markedness Association of Response Codes) Effect. Quart J Exp Psych 57A:835–863

    Google Scholar 

  • Pesenti M, Thioux M, Seron X, De Volder A (2000) Neuroanatomical substrates of arabic number processing, numerical comparison, and simple addition: A PET study. J Cogn Neurosci 12:461–479

    Article  PubMed  CAS  Google Scholar 

  • Pinel P, Dehaene S, Riviere D, LeBihan D (2001) Modulation of parietal activation by semantic distance in a number comparison task. NeuroImage 14:1013–1026

    Article  PubMed  CAS  Google Scholar 

  • Price C (1998) The functional anatomy of word comprehension and production. Trends Cog Sci 2:281–288

    Article  Google Scholar 

  • Rickard TC, Romero SG, Basso G, Wharton C, Flitman S, Grafman J (2000) The calculating brain: an fMRI study. Neuropsychologia 38:325–335

    Article  PubMed  CAS  Google Scholar 

  • Rueckert L, Lange N, Partiot A, Appollonio I, Litvar I, Le Bihan D, Grafman J (1996) Visualizing cortical activation during mental calculation with functional MRI. NeuroImage 3:97–103

    Article  PubMed  CAS  Google Scholar 

  • Sakurai Y, Momose T, Iwata M, Sasaki Y, Kanazawa I (1996) Activation of prefrontal and posterior superior temporal areas in visual calculation. J Neurol Sci 139:89–94

    Article  PubMed  CAS  Google Scholar 

  • Simon O, Cohen L, Mangin JF, Bihan DL, Dehaene S (2002) Topographical layout of hand, eye, calculation and language-related areas in the human parietal lobe. Neuron 33:475–487

    Article  PubMed  CAS  Google Scholar 

  • Stanescu-Cosson R, Pinel P, van de Moortele P.-F, Le Bihan D, Cohen L, Dehaene S (2000) Cerebral bases of calculation processes: Impact of number size on the cerebral circuits for exact and approximate calculation. Brain 123:2240–2255

    Article  PubMed  Google Scholar 

  • Thioux M Seron X, Pesenti M (1999) Functional neuroanatomy of the semanstic system: the case for numerals. Brain Lang 69(3):488–490

    Google Scholar 

  • Walsh M (2003) A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cog Sci 7:483–488

    Article  Google Scholar 

  • Whalen J, McCloskey M, Lindemann M, Bouton G (2002) Representing arithmetic table facts in memory: Evidence from acquired impairments. Cogn Neuropsychol 19:505–522

    Article  Google Scholar 

  • Willmes K (2002) Störungen der Zahlenverarbeitung. In: Hartje W, Poeck K (Hrsg) Klinische Neuropsychologie, 5. Aufl. Thieme, Stuttgart, S 450–467

    Google Scholar 

  • Willmes K (2006) Mathematische Leistungen und Akalkulien. In: Karnath H-O, Thier P (Hrsg) Neuropsychologie, 2. Aufl. Springer, Heidelberg, S 400–422

    Google Scholar 

  • Wojciulik E, Kanwisher N (1999) The generality of parietal involvement in visual attention. Neuron 23:747–64

    Article  PubMed  CAS  Google Scholar 

  • Zago L, Pesenti M, Mellet E, Crivello F, Mazoyer B, Tzourio-Mazoyer N (2001) Neural correlates of simple and complex mental calculation. NeuroImage 13:314–327

    Article  PubMed  CAS  Google Scholar 

  • Zorzi M, Priftis K, Umilta C (2002) Brain damage: neglect disrupts the mental number line. Nature 417(6885):138–139

    Article  PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Psychologie, Universität Salzburg, Hellbrunnerstr. 34, 5020, Salzburg, Österreich

    Prof. Dr. H. -C. Nuerk

  2. Neurologische Klinik, Universitätsklinikums Aachen, Pauwelsstr. 30, 52074, Aachen

    Prof. Dr. K. Willmes

Authors
  1. Prof. Dr. H. -C. Nuerk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Prof. Dr. K. Willmes
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Klinik für Psychiatrie und Psychotherapie, Universitätsklinikum Aachen, RWTH Aachen, Pauwelsstr. 30, 52074, Aachen

    Frank Schneider

  2. Klinik und Poliklinik für Neurologie, Klinikum der Universität zu Köln, Kerpener Str. 62, Haus 30, 50924, Köln

    Gereon R. Fink

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Medizin Verlag Heidelberg

About this chapter

Cite this chapter

Nuerk, H.C., Willmes, K. (2007). Zahlenverarbeitung und Rechnen. In: Schneider, F., Fink, G.R. (eds) Funktionelle MRT in Psychiatrie und Neurologie. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68558-6_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-68558-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20474-9

  • Online ISBN: 978-3-540-68558-6

  • eBook Packages: Medicine (German Language)

Publish with us

Policies and ethics

Search

Navigation