Foundations of basic number processing and arithmetic;Grundlagen der zahlenverarbeitung und des rechnens

Sprache Stimme Gehor

Volumn 30, Issue 4, 2006, Pages 147-153

  Nuerk, Hans Christoph ^a   Graf, M ^b   Willmes, K ^c  

^a UNIVERSITY OF SALZBURG   (Austria)

^b GERMAN INSTITUTE FOR INTERNATIONAL EDUCATIONAL RESEARCH   (Germany)

^c UNIVERSITY HOSPITAL RWTH AACHEN   (Germany)

Author keywords

Calculation; Counting; Dyscalculia; Magnitude representation; Place value system; Transcoding

Indexed keywords

ARITHMETIC; CALCULATION; COGNITION; COGNITIVE DEFECT; DIAGNOSTIC PROCEDURE; DYSCALCULIA; HUMAN; MAGNITUDE ESTIMATION METHOD; QUANTITATIVE STUDY; REVIEW;

EID: 33845682063     PISSN: 03420477     EISSN: None     Source Type: Journal    
DOI: 10.1055/s-2006-951751     Document Type: Review

References (43)

1. Wynn K. Addition and subtraction by human infants. Nature 1992; 358:749-750
2. Wynn K. The origins of numerical knowledge. Mathematical Cognition 1995; 1: 35-60
3. Xu F, Spelke ES. Large number discrimination in 6-month old infants. Cognition 2000; 74: B1B11
4. Dehaene S. Varieties of numerical abilities. Cognition 1992; 44: 1-42
5. Dehaene S, Cohen L. Towards an anatomical and functional model of number processing. Mathematical Cognition 1995; 1: 83-120
6. McCloskey M. Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition 1992; 44: 107-157
7. McCloskey M, Caramazza A, Basili A. Cognitive mechanisms in and calculation: Evidence from dyscalcuiia. Brain and Cognition 1985; 4: 171-196
8. Campbell JID, Clark JM. Cognitive number processing: An encoding complex perspective. In: Campbell JID (Hrsg.). The nature and origins of mathematical skills Amsterdam: North-Holland, 1992: 457-491
9. Verguts T, Fias W, Stevens M. A model of exact small-number representation. Psychonomic Bulletin Reviews 2005; 12: 66-80
10. Willmes K. Störungen der Zahlenverarbeitung. In: Hartje W, Poeck K (Hrsg). Klinische Neuropsychologie (5. Aufl.) Stuttgart: Thieme, 2002: 450-467
11. Willmes K. Mathematische Leistungen und Akalkulien. In: Karnath H-O, Thier P (Hrsg.). Neuropsychologie Heidelberg: Springer, 2003: 417-435
12. Nuerk H-C, Willmes K. Externe und interne Repräsentationen von Zahlen und ihre Beeinflussung durch sprachliche Struktur. In Linz E & Jäger L (Hrsg.). Medialität und Mentalität München: Fink-Verlag. 2004: 251-274
13. Cohen L, Dehaene S. Calculating without reading: Unsuspected residual abilities in pure alexia. Cognitive Neuropsychoiogy 2000; 17: 563-583
14. Dehaene S, Piazza M, Pinel P, Cohen L. Three parietal circuits for number processing. Cognitive Neuropsychology 2003; 20: 487-506
15. Hubbard EM, Piazza M, Pinel P, Dehaene S. Interactions between number and space in parietal cortex. Nature Reviews Neuroscience 2005; 6: 435-448
16. Graf M, Nuerk H-C, Willmes K. Zahlenverarbeitungs- und Rechenschwierigkeiten bei Aphasie. Aphasie und verwandte Gebiete 2003; 2&3: 7-28
17. Van Nieuwenhoven C, Grégoire J, Noël MP. TEDI-MATH, Test Diagnostique des Apprentissages de base en Mathématiques. Paris: Editions du Centre de Psychologie Appliquée, 2001
18. Nuerk HC, Kaufmann L, Graf M, Krinzinger H, Delazer M, Willmes K. Test zur Erfassung der Zahlenverarbeitung und des Rechnens bei 4 bis 8-jährigen Kindern (TEDI-MATH). Bern: Hans Huber Verlag (in Vorbereitung),
19. Delazer M, Domahs F, Bartha L, Brenneis C, Lochy A, Trieb T, Benke T. Learning complex arithmetic - an fMRI study. Brain Research. Cognitive Brain Research 2003; 18: 76-88
20. Fischer MH, Castel AD, Dodd MD, Pratt J. Perceiving numbers causes spatial shifts of attention. Nature Neuroscience 2003; 6: 555-556
21. Zorzi M, Priftis K, Umilta C. Brain damage: neglect disrupts the mental number line. Nature 2002; 417: 138-139
22. Bachot J, Gevers W, Fias W, Roeyers H. Number sense in children with visuospatial disabilities: Orientation of the mental number line. Psychology Science 2005; 47: 172-183
23. Zhang J, Norman DA. A representational analysis of numeration systems. Cognition 1995; 57: 271-295
24. Nuerk H-C, Weger U, Willmes K. Decade breaks in the mental number line? Putting tens and units back into different bins. Cognition 2001; 82: B25B33
25. Nuerk H-C, Willmes K. On the magnitude representation of two-digit numbers. Psychology Science 2005; 42: 52-72
26. Kaufmann L, Nuerk H-C. Numerical development: current issues and future perspectives. Psychology Science 2005; 47: 142-170
27. Starkey P, Cooper RG. Perception of numbers by human infants. Science 1980; 210: 1033-1035
28. Nieder A, Freedman DJ, Miller EK. Representation of the quantity of visual items in the primate prefrontal cortex. Science 2002; 297: 1708-1711
29. Nieder A, Miller EK. Coding of cognitive magnitude: compressed scaling of numerical information in the primate prefrontal cortex. Neuron 2003; 37: 149-57
30. Gallistel CR, Gelman R. Preverbal and verbal counting and computation. Cognition 1992; 44: 43-74
31. Gelman R, Gallistel CR. The child's understanding of number. Cambridge, MA: Harvard University Press,
32. Fuson K. Children's counting and concepts of number. New York, NY: Springer-Verlag, 1988
33. Butterworth B. The mathematical brain. London: MacMillan, 1999
34. Power RJD, Dal Martello MF. The dictation of Italian numerals. Language and Cognitive Processes 1990; 5: 237-254
35. Lochy A. Influence of language in early acquisition of numbers: a comparison of French and German. Presentation at the 3rd Aachen-Ghent Brain & Number Workshop, Aachen, Germany: June 2003
36. Nuerk H-C, Olsen N, Willmes K. Better teach your children Japanese number words: How transparent number structure helps number acquisition. Poster presented at the 23rd European Workshop of Cognitive Neuropsychology, Bressanone, Italy: January, 2005
37. Temple M. Procedural dyscalculia and number fact dyscalculia: Double dissociation in developmental dyscalculia. Cognitive Neuropsychology 1991; 8: 155-176
38. Baroody J, Dowker A (Hrsg.). The development of arithmetic concepts and skills: Constructing adaptive expertise. Mahwah, NJ: Lawrence Erlbaum Associates, 2003
39. Campbell JID (Hrsg). Handbook of mathematical cognition. New York, NY: Psychology Press, 2005
40. Shalev RS, Auerbach J, Manor O, Gross-Tsur V. Developmental dyscalculia: prevalence and prognosis. European Child and Adolescent Psychiatry 2000; 9: 58-64
41. Kaufmann L, Nuerk H-C. Die Entwicklung des Rechnens und dessen Störungen: Genese, Modelle, Diagnostik und Intervention. Zeitschrift für Legasthenie und Dyskalkulie 2006; 2: 11-16
42. Landerl K, Bevan A, Butterworth B. Developmental Dyscalculia and Basic Numerical Capacities: A study of 8-9 year old students. Cognition 2004; 9: 99-125
43. Rousselle L, Noël M-P. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing. Cognition, in press