Cross-dimensional mapping of number, length and brightness by preschool children

PLoS ONE

Volumn 7, Issue 4, 2012, Pages

  de Hevia, Maria Dolores ^a   Vanderslice, Monica ^b   Spelke, Elizabeth S ^b  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ASSOCIATION; BRIGHTNESS; CHILD; CONTROLLED STUDY; DEPTH PERCEPTION; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; MATHEMATICAL ANALYSIS; MEASUREMENT; MENTAL CAPACITY; MENTAL PERFORMANCE; MENTAL TASK; NORMAL HUMAN; PRESCHOOL CHILD; RELIABILITY; TASK PERFORMANCE; ANALYSIS OF VARIANCE; MATHEMATICAL PHENOMENA; PERCEPTION;

PRIMATES;

ANALYSIS OF VARIANCE; CHILD, PRESCHOOL; HUMANS; MATHEMATICAL CONCEPTS; PERCEPTION; SIZE PERCEPTION;

EID: 84859834966     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0035530     Document Type: Article

References (68)

1. Galton F, (1880) Visualised numerals. Nature 21: 252-256.
2. Dehaene S, Bossini S, Giraux P, (1993) The mental representation of parity and number magnitude. Journal of Experimental Psychology: General 122: 371-396.
3. Fias W, (2001) Two routes for the processing of verbal numbers: evidence from the SNARC effect. Psychological Research 65: 250-259.
4. Fias W, Brysbaert M, Geypens F, d'Ydewalle G, (1996) The Importance of Magnitude Information in Numerical Processing: Evidence from the SNARC Effect. Mathematical Cognition 2: 95-110.
5. Fischer MH, Castel AD, Dodd MD, Pratt J, (2003) Perceiving numbers causes spatial shifts of attention. Nature Neuroscience 6: 555-556.
6. Andres M, Davare M, Pesenti M, Olivier E, Seron X, (2004) Number magnitude and grip aperture interaction. Neuroreport 15: 2773-27777.
7. de Hevia MD, Girelli L, Bricolo E, Vallar G, (2008) The representational space of numerical magnitude: Illusions of length. Quarterly Journal of Experimental Psychology 61: 1496-1514.
8. de Hevia MD, Girelli L, Vallar G, (2006) Numbers and space: A cognitive illusion? Experimental Brain Research 168: 254-264.
9. Dehaene S, Piazza M, Pinel P, Cohen L, (2003) Three parietal circuits of number processing. Cognitive Neuropsychology 20: 487-506.
10. Knops A, Thirion B, Hubbard EM, Michel V, Dehaene S, (2009) Recruitment of an Area Involved in Eye Movements During Mental Arithmetic. Science 324.
11. Vuilleumier P, Ortigue S, Brugger P, (2004) The number space and neglect. Cortex 40: 399-410.
12. Zorzi M, Priftis K, Umiltà C, (2002) Brain damage: neglect disrupts the mental number line. Nature 417: 138-139.
13. Pinel P, Piazza M, Le Bihan D, Dehaene S, (2004) Distributed and Overlapping Cerebral Representations of Number, Size, and Luminance during Comparative Judgments. Neuron 41: 983-93.
14. Cohen Kadosh R, Henik A, (2006) A common representation for semantic and physical properties: A cognitive-anatomical approach. Experimental Psychology 53: 87-94.
15. Lourenco SF, Longo MR, (2010) General magnitude representation in human infants. Psychological Science 21: 873-881.
16. Walsh VA, (2003) A theory of magnitude: common cortical metrics of time, space and quantity. Trends in Cognitive Sciences 7: 483-488.
17. Shepard RN, (1962) The analysis of proximities: Multidimensional scaling with an unknown distance function. I Psychometrika 27: 125-140.
18. Shepard RN, (1962) The analysis of proximities: Multidimensional scaling with an unknown distance function. II. Psychometrika 27: 219-246.
19. Opfer JE, Siegler RS, (2007) Representational change and children's numerical estimation. Cognitive Psychology 55: 169-195.
20. Opfer JE, Thompson CA, (2008) The trouble with transfer: Insights from microgenetic changes in the representation of numerical magnitude. Child Development 79: 790-806.
21. Siegler RS, Opfer JE, (2003) The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science 14: 237-243.
22. Dehaene S, Izard V, Spelke ES, Pica P, (2008) Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science 320: 1217-1220.
23. de Hevia MD, Spelke ES, (2009) Spontaneous mapping of number and space in adults and young children. Cognition 110: 198-207.
24. de Hevia MD, Spelke ES, (2010) Number-space mapping in human infants. Psychological Science 21: 653-660.
25. Tudusciuc O, Nieder A, (2007) Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proceedings of the National Academy of Sciences 104: 14513-14518.
26. Stevens JC, Marks LE, (1965) Cross-modality matching of brightness and loudness. Proceedings of the National Academy of Sciences 54: 407-411.
27. Johnson DM, (1939) Confidence and speed in the two-category judgment. Archives of Psychology 241: 1-52.
28. Van Oeffelen M, Vos P, (1982) A probabilistic model for the discrimination of visual number. Perception and Psychophysics 32: 163-170.
29. Moyer RS, (1973) Comparing objects in memory-evidence suggesting an internal psychophysics. Perceptual Psychophysics 13: 180-184.
30. Paivio A, (1975) Perceptual comparisons through the mind's eye. Memory & Cognition 3: 635-647.
31. Banks WP, Flora J, (1977) Semantic and perceptual processes in symbolic comparisons. Journal of Experimental Psychology: Human Perception and Performance 3: 278-290.
32. Izard V, Sann C, Spelke ES, Streri A, (2009) Newborn infants perceive abstract numbers. Proceedings of the National Academy of Sciences 106: 10382-10385.
33. Brannon EM, Lutz D, Cordes S, (2006) The development of area discrimination and its implications for number representation in infancy. Developmental Science 9: F59-F64.
34. Lipton JS, Spelke ES, (2003) Origins of number sense: Large-number discrimination in human infants. Psychological Science 14: 396-401.
35. vanMarle K, Wynn K, (2006) Six-month-old infants use analog magnitudes to represent duration. Developmental Science 9: F41-F49.
36. Xu F, Spelke ES, (2000) Large number discrimination in 6-month-old infants. Cognition 74: B1-B11.
37. Brannon EM, Suanda S, Libertus K, (2007) Temporal discrimination increases in precision over development and parallels the development of numerosity discrimination. Developmental Science 10: 770-777.
38. Meck WH, Church RM, (1983) A mode control model of counting and timing processes. Journal of Experimental Psychology: Animal Behavioral Processes 9: 320-334.
39. Cohen Kadosh R, Cohen Kadosh K, Henik A, (2008) When Brightness Counts: The Neuronal Correlate of Numerical-Luminance Interference. Cerebral Cortex 18: 337-343.
40. Holloway I, Ansari D, (2008) Domain-specific and domain-general changes in children's development of number comparison. Developmental Science 11: 644-649.
41. Castelli F, Glaser DE, Butterworth B, (2006) Discrete and analogue quantity processing in the parietal lobe: A functional MRI study. Proceedings of the National Academy of Sciences 103: 4693-4698.
42. Kotovsky L, Gentner D, (1996) Comparison and categorization in the development of relational similarity. Child Development 67: 2797-2822.
43. Casasanto D, Boroditsky L, (2008) Time in the Mind: Using space to think about time. Cognition 106: 579-593.
44. Srinivasan M, Carey S, (2010) The long and the short of it: On the nature and origin of structural similarities between representations of space and time. Cognition 116: 217-241.
45. Shepard RN, (1958) Stimulus and response generalization: tests of a model relating generalization to distance in psychological space. Journal of Experimental Psychology 55: 509-523.
46. Shepard RN, (1987) Toward a universal law of generalization for psychological science. Science 237: 1317-1323.
47. Munsell AH, (1912) A pigment color system and notation. The American Journal of Psychology 23: 236-244.
48. Valentine T, (1991) A unified account of the effects of distinctiveness, inversion, and race in face recognition. Quarterly Journal of Experimental Psychology 43A: 161-204.
49. Rusconi E, Kwan B, Giordano BL, Umiltà C, Butterworth B, (2006) Spatial representation of pitch height: the SMARC effect. Cognition 99: 113-129.
50. Shepard RN, (1982) Geometrical approximations to the structure of musical pitch. Psychological Review 89: 305-333.
51. Gevers W, Reynvoet B, Fias W, (2003) The mental representation of ordinal sequences is spatially organized. Cognition 87: B87-B95.
52. Gevers W, Reynvoet B, Fias W, (2004) The mental representation of ordinal sequences is spatially organized: evidence from days of the week. Cortex 40: 171-172.
53. Previtali P, de Hevia MD, Girelli L, (2010) Placing order in space: The SNARC effect in serial learning. Experimental Brain Research 201: 599-605.
54. Holloway ID, Ansari D, (2009) Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's math achievement. Journal of Experimental Child Psychology 103: 17-29.
55. Baird JC, Green DM, Luce RD, (1980) Variability and sequential effects in cross-modality matching of area and loudness. Journal of Experimental Psychology: Human Perception and Performance 6: 277-289.
56. Stevens SS, (1957) On the psychophysical law. Psychological Review 64: 153-181.
57. Roitman J, Brannon EM, Andrews J, Platt M, (2007) Nonverbal representation of time and number in adults. Acta Psychologica 124: 296-318.
58. Walker P, Bremner JG, Mason U, Spring J, Mattock K, et al. (2010) Preverbal Infants' Sensitivity to Synaesthetic Cross-Modality Correspondences. Psychological Science 21: 21-25.
59. Zebian S, (2005) Linkages between number concepts, spatial thinking, and directionality of writing: The SNARC effect and the reverse SNARC effect in English and Arabic monoliterates, biliterates, and illiterate Arabic speakers. Journal of Cognition and Culture 5: 165-190.
60. Bächtold D, Baumüller M, Brugger P, (1998) Stimulus-response compatibility in representational space. Neuropsychologia 36: 731-5.
61. Fischer MH, Mills RA, Shaki S, (2010) How to cook a SNARC: Number placement in text rapidly changes spatial-numerical associations. Brain and Cognition 72: 333-336.
62. Berch DB, Foley EJ, Hill RJ, Ryan PM, (1999) Extracting parity and magnitude from Arabic numerals: developmental changes in number processing and mental representation. Journal of Experimental Child Psychology 74: 286-308.
63. Opfer JE, Thompson CA, Furlong EE, (2010) Early development of spatial-numeric associations: Evidence from spatial and quantitative performance of preschoolers. Developmental Science 13: 761-771.
64. van Galen MS, Reitsma P, (2008) Developing access to number magnitude: A study of the SNARC effect in 7- to 9-year-olds. Journal of Experimental Child Psychology 101: 99-113.
65. Brannon EM, Abbott S, Lutz DJ, (2004) Number bias for the discrimination of large visual sets in infancy. Cognition 93: B59-B68.
66. Cordes S, Brannon E, (2009) The relative salience of discrete and continuous quantity in young infants. Developmental Science 12: 453-463.
67. Gebuis T, van der Smagt MJ, (2011) Incongruence in number-luminance congruency effects. Attention Perception & Psychophysics 37: 259-265.
68. Tversky A, (1977) Features of Similarity. Psychological Review 84: 327-352.