Embodied numerosity: Implicit hand-based representations influence symbolic number processing across cultures

Cognition

Volumn 116, Issue 2, 2010, Pages 251-266

  Domahs, Frank ^a,b,c   Moeller, Korbinian ^d   Huber, Stefan ^e   Willmes, Klaus ^a,c   Nuerk, Hans Christoph ^d  

^a UNIVERSITY HOSPITAL RWTH AACHEN   (Germany)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

^c RWTH AACHEN UNIVERSITY   (Germany)

^d UNIVERSITY OF TÜBINGEN   (Germany)

^e UNIVERSITY OF SALZBURG   (Austria)

Author keywords

Base system; Chinese; Deaf signers; Decade break; Embodied cognition; Finger counting; Five break; German; Magnitude comparison; Representational effects

Indexed keywords

ADOLESCENT; ADULT; ANALYSIS OF VARIANCE; ARITHMETIC; ARTICLE; CHILD; CHINESE; COGNITION; CULTURAL FACTOR; FEMALE; FINGER COUNTING; HEMISPHERIC DOMINANCE; HUMAN; HUMAN EXPERIMENT; MALE; NORMAL HUMAN; PRIORITY JOURNAL; SIGN LANGUAGE; CHINA; CULTURAL ANTHROPOLOGY; EDUCATION; FINGER; GERMANY; LANGUAGE; MATHEMATICS; PHYSIOLOGY; REACTION TIME;

ADULT; CHILD; CHINA; COGNITION; CROSS-CULTURAL COMPARISON; CULTURE; EDUCATION; FINGERS; GERMANY; HUMANS; LANGUAGE; MATHEMATICS; REACTION TIME;

EID: 77954312767     PISSN: 00100277     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cognition.2010.05.007     Document Type: Article

References (72)

1. Aglioti S., Berlucchi G., Pallini R., Rossi G.F., Tassinari G. Hemispheric control of unilateral and bilateral responses to lateralized light stimuli after Callosotomy and in Callosal Agenesis. Experimental Brain Research 1993, 95:151-165.
2. Andres M., Davare M., Pesenti M., Olivier E., Seron X. Number magnitude and grip aperture interaction. Neuroreport 2004, 15:2773-2777.
3. Andres M., Ostry D.J., Nicol F., Paus T. Time course of number magnitude interference during grasping. Cortex 2008, 44:414-419.
4. Andres M., Seron X., Olivier E. Contribution of hand motor circuits to counting. Journal of Cognitive Neuroscience 2007, 19:563-576.
5. Anson J.G., Bird Y.N. Neuromotor programming - Bilateral and unilateral effects on simple reaction-time. Human Movement Science 1993, 12:37-50.
6. Badets A., Andres M., Di Luca S., Pesenti M. Number magnitude potentiates action judgments. Experimental Brain Research 2007, 180:525-534.
7. Baroody A.J. The development of counting strategies for single-digit addition. Journal for Research in Mathematics Education 1987, 18:141-157.
8. Brissiaud R. A toll for number construction: Finger symbol sets. Pathways to number: Children's developing numerical abilities 1992, Lawrence Erlbaum, Hillsdale, NJ. J. Bideaud, C. Meljac, J.P. Fischer (Eds.).
9. Brozzoli C., Ishihara M., Göbel S.M., Salemme R., Rossetti Y., Farne A. Touch perception reveals the dominance of spatial over digital representation of numbers. Proceedings of the National Academy of Sciences of the USA 2008, 105:5644-5648.
10. Brysbaert M. Number recognition in different formats. Handbook of mathematical cognition 2005, 23-42. Taylor & Francis, New York. J.I.D. Campbell (Ed.).
11. Butterworth B. The mathematical brain 1999, Macmillan, London, UK.
12. Campbell J.I. Architectures for numerical cognition. Cognition 1994, 53:1-44.
13. Campbell J.I., Xue Q. Cognitive arithmetic across cultures. Journal of Experimental Psychology: General 2001, 130:299-315.
14. Cohen Kadosh R. Numerical representation: Abstract or nonabstract?. Quarterly Journal of Experimental Psychology 2008, 61:1160-1168.
15. Cohen Kadosh R. The laterality effect: Myth or truth?. Consciousness and Cognition 2008, 17:350-354.
16. Cohen Kadosh R., Cohen K.K., Kaas A., Henik A., Goebel R. Notation-dependent and -independent representations of numbers in the parietal lobes. Neuron 2007, 53:307-314.
17. Cohen Kadosh R., Walsh V. Numerical representation in the parietal lobes: Abstract or not abstract?. Behavioral and Brain Sciences 2009, 32:313-373.
18. Conson M., Mazzarella E., Trojano L. Numbers are represented in egocentric space: Effects of numerical cues and spatial reference frames on hand laterality judgements. Neuroscience Letters 2009, 452:176-180.
19. Dehaene S. Symbols and quantities in parietal cortex: Elements of a mathematical theory of number representation and manipulation. Attention and performance XXII: Sensorimotor foundations of higher cognition 2007, 527-574. Oxford University Press, New York, US. P. Haggard, Y. Rossetti, M. Kawato (Eds.).
20. Dehaene S., Bossini S., Giraux P. The mental representation of parity and number magnitude. Journal of Experimental Psychology: General 1993, 122:371-396.
21. Dehaene S., Cohen L. Towards an anatomical and functional model of number processing. Mathematical Cognition 1995, 1:83-120.
22. Dehaene S., Piazza M., Pinel P., Cohen L. Three parietal circuits for number processing. Cognitive Neuropsychology 2003, 20:487-506.
23. Descoeudres A. Le développement de l'enfant de deux à sept ans 1921, Delachaux et Niestlé, Neufchâtel.
24. di Luca S., Granà A., Semenza C., Seron S., Pesenti M. Finger-digit compatibility in Arabic numeral processing. Quarterly Journal of Experimental Psychology 2006, 59:1648-1663.
25. Domahs F., Krinzinger H., Willmes K. Mind the gap between both hands: Evidence for internal finger-based number representations in children's mental calculation. Cortex 2008, 44:359-367.
26. Donchin O., Gribova A., Steinberg O., Bergman H., de Oliveira S.C., Vaadia E. Local field potentials related to bimanual movements in the primary and supplementary motor cortices. Experimental Brain Research 2001, 140:46-55.
27. Fayol M., Barrouillet P., Marinthe C. Predicting arithmetical achievement from neuro-psychological performance: A longitudinal study. Cognition 1998, 68:B63-B70.
28. Fischer J.P. Numerical performance increased by finger training: A fallacy due to regression toward the mean?. Cortex 2010, 46:272-273.
29. Fischer M.H. Finger counting habits modulate spatial-numerical associations. Cortex 2008, 44:386-392.
30. Fischer, M. H. & Lindemann, O. (2009). International comparison of finger counting habits and their role in the spatial mapping of numbers. In Presentation given on the workshop: Cultural effects on the mental number line, York, England (07/07/09).
31. Fuson K.C., Kwon Y. Learning addition and subtraction: Effects of number words and other cultural tools. Pathways to number: Children's developing numerical abilities 1992, 283-306. Erlbaum, Hillsdale, NJ. J. Bideaud, C. Meljac, J.P. Fischer (Eds.).
32. Garry M.I., Franks I.M. Reaction time differences in spatially constrained bilateral and unilateral movements. Experimental Brain Research 2000, 131:236-243.
33. Geary D.C., Bow-Thomas C.C., Liu F., Siegler R.S. Development of arithmetical competencies in Chinese and American children: Influence of age, language, and schooling. Child Development 1996, 67:2022-2044.
34. Gerstmann J. Syndrome of finger agnosia, disorientation for right and left, agraphia and acalculia. Archives of Neurology and Psychiatry 1940, 44:398-408.
35. Glenberg A.M., Kaschak M.P. Grounding language in action. Psychonomic Bulletin & Review 2002, 9:558-565.
36. Girelli, L. (1998). Assessing number meaning in adults and children. PhD Thesis, University College of London.
37. Göbel S.M., Johansen-Berg H., Behrens T., Rushworth M.F. Response-selection-related parietal activation during number comparison. Journal of Cognitive Neuroscience 2004, 16:1536-1551.
38. 2O)-O-15 PET study. Neuroreport 1998, 9:3631-3638.
39. Gracia-Bafalluy M., Noël M.P. Does finger training increase young children's numerical performance?. Cortex 2008, 44:368-375.
40. Hauk O., Johnsrude I., Pulvermüller F. Somatotopic representation of action words in human motor and premotor cortex. Neuron 2004, 41:301-307.
41. Iversen W., Nuerk H.C., Jager L., Willmes K. The influence of an external symbol system on number parity representation, or what's odd about 6?. Psychonomic Bulletin & Review 2006, 13:730-736.
42. Jancke L., Peters M., Himelbach M., Nosselt T., Shah J., Steinmetz H. FMRI study of bimanual coordination. Neuropsychologia 2000, 38:164-174.
43. Kaufmann L., Vogel S.E., Wood G., Kremser C., Schocke M., Zimmerhackl L.B., et al. A developmental fMRI study of nonsymbolic numerical and spatial processing. Cortex 2008, 44:376-385.
44. Klann J., Kastrau F., Kemeny S., Huber W. Passive perception of signs and words in monolingual hearing versus bilingual deaf subjects. Neuroimage 2001, 14:1229.
45. Manthey S., Schubotz R.I., von Cramon D.Y. Premotor cortex in observing erroneous action: An fMRI study. Cognitive Brain Research 2003, 15:296-307.
46. Marton F., Neuman D. The perceptibility of numbers and the origin of arithmetic skills 1990, Department of Education and Educational Research, University of Göteborg, Göteborg.
47. Miller K.F., Kelly M., Zhou X. Learning mathematics in China and the United States. Handbook of mathematical cognition 2005, 163-178. Psychology Press, New York. J.I.D. Campbell (Ed.).
48. Miura I.T., Okamoto Y., Kim C.C., Steere M., Fayol M. 1st-graders cognitive representation of number and understanding of place value - Cross-national comparisons - France, Japan, Korea, Sweden, and the United-States. Journal of Educational Psychology 1993, 85:24-30.
49. Moeller K., Pixner S., Kaufmann L., Nuerk H.C. Children's early mental number line: Logarithmic or decomposed linear?. Journal of Experimental Child Psychology 2009, 103:503-515.
50. Nair D.G., Purcott K.L., Fuchs A., Steinberg F., Kelso J.A.S. Cortical and cerebellar activity of the human brain during imagined and executed unimanual and bimanual action sequences: A functional MRI study. Cognitive Brain Research 2003, 15:250-260.
51. Noël M.P. Finger gnosia: A predictor of numerical abilities in children?. Child Neuropsychology 2005, 11:413-430.
52. Nuerk H.C., Iversen W., Willmes K. Notational modulation of the SNARC and the MARC (linguistic markedness of response codes) effect. Quarterly Journal of Experimental Psychology Section A - Human Experimental Psychology 2004, 57:835-863.
53. Opfer J.E., Siegler R.S. Representational change and children's numerical estimation. Cognitive Psychology 2007, 55:169-195.
54. Poeck K. Phantoms following amputation in early childhood and in congenital absence of limbs. Cortex 1964, 1:269-275.
55. Restle F. Speed of adding and comparing numbers. Journal of Experimental Psychology 1970, 85:274-278.
56. Rusconi E., Walsh V., Butterworth B. Dexterity with numbers: rTMS over left angular gyrus disrupts finger gnosis and number processing. Neuropsychologia 2005, 43:1609-1624.
57. Sabate M., Gonzalez B., Rodriguez M. Brain lateralization of motor imagery: Motor planning asymmetry as a cause of movement lateralization. Neuropsychologia 2004, 42:1041-1049.
58. Sato M., Cattaneo L., Rizzolatti G., Gallese V. Numbers within our hands: Modulation of corticospinal excitability of hand muscles during numerical judgment. Journal of Cognitive Neuroscience 2007, 19:684-693.
59. Shaki S., Fischer M.H. Reading space into numbers: A cross-linguistic comparison of the SNARC effect. Cognition 2008, 108:590-599.
60. Shepard R.N., Kilpatric D.W., Cunningham J.P. The internal representation of numbers. Cognitive Psychology 1975, 7:82-138.
61. Siegler R.S., Thompson C.A., Opfer J.E. The logarithmic-to-linear shift: One learning sequence, many tasks, many time scales. Mind, Brain, and Education 2009, 3:143-150.
62. Sizer, W. (2004). Base and subbase in a number system. The Humanistic Mathematics Network Journal, vol. 27 (online). http://www2.hmc.edu/www_common/hmnj/.
63. Svenson O., Sjöberg K. Evolution of cognitive processes for solving simple additions during the first three school years. Scandinavian Journal of Psychology 1983, 24:117-124.
64. Tettamanti M., Buccino G., Saccuman M.C., Gallese V., Danna M., Scifo P., et al. Listening to action-related sentences activates fronto-parietal motor circuits. Journal of Cognitive Neuroscience 2005, 17:273-281.
65. Thompson J.C., Abbott D.F., Wheaton K.J., Syngeniotis A., Puce A. Digit representation is more than just hand waving. Cognitive Brain Research 2004, 21:412-417.
66. Tzelgov J., Meyer J., Henik A. Automatic and intentional processing of numerical information. Journal of Experimental Psychology: Learning, Memory, and Cognition 1992, 18:166-179.
67. van Orden G.C. A ROWS is a rose: Spelling, sound, and reading. Memory & Cognition 1987, 15:181-198.
68. Venkatraman V., Ansari D., Chee M.W.L. Neural correlates of symbolic and non-symbolic arithmetic. Neuropsychologia 2005, 43:744-753.
69. Wood G., Nuerk H.C., Willmes K. Neural representations of two-digit numbers: A parametric fMRI study. Neuroimage 2006, 29:358-367.
70. Zhang J.J., Norman D.A. A representational analysis of numeration systems. Cognition 1995, 57:271-295.
71. Zhang J.J., Wang H. The effect of external representations on numeric tasks. The Quarterly Journal of Experimental Psychology 2005, 58A:817-838.
72. Zwaan R.A., Taylor L.J. Seeing, acting, understanding: Motor response in language comprehension. Journal of Experimental Psychology: General 2006, 135:1-11.