Developing access to number magnitude: A study of the SNARC effect in 7- to 9-year-olds

Journal of Experimental Child Psychology

Volumn 101, Issue 2, 2008, Pages 99-113

  van Galen, Mirte S ^a   Reitsma, Pieter ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Automatization; Children; Mental number line; Number magnitude; SNARC

Indexed keywords

ADULT; ARTICLE; ATTENTION; CHILD; CHILD DEVELOPMENT; DECISION MAKING; FEMALE; HUMAN; LEARNING; MALE; MATHEMATICS; MIDDLE AGED; PROBLEM SOLVING; PSYCHOMOTOR PERFORMANCE; REACTION TIME;

ADULT; ASSOCIATION LEARNING; ATTENTION; CHILD; CHILD DEVELOPMENT; FEMALE; HUMANS; JUDGMENT; MALE; MATHEMATICS; MIDDLE AGED; PROBLEM SOLVING; PSYCHOMOTOR PERFORMANCE; REACTION TIME; YOUNG ADULT;

EID: 51749083254     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2008.05.001     Document Type: Article

References (41)

1. Ansari D., Garcia N., Lucas E., Hamon K., and Dhital B. Neural correlates of symbolic number processing in children and adults. NeuroReport 16 (2005) 1769-1773
2. Bachot J., Gevers W., Fias W., and Roeyers H. Number sense in children with visuospatial disabilities: Orientation of the mental number line. Psychology Science 47 (2005) 172-183
3. Bächtold D., Baumüller M., and Brugger P. Stimulus-response compatibility in representational space. Neuropsychologia 36 (1998) 731-735
4. Berch D.B., Foley E.J., Hill R.J., and Ryan P.M. Extracting parity and magnitude from Arabic numerals: Developmental changes in number processing and mental representation. Journal of Experimental Child Psychology 74 (1999) 286-308
5. Dehaene S., Bossini S., and Giraux P. The mental representation of parity and number magnitude. Journal of Experimental Psychology: General 122 (1993) 371-396
6. Dehaene S., Dupoux E., and Mehler J. Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. Journal of Experimental Psychology: Human Perception and Performance 16 (1990) 626-641
7. Duncan E.M., and McFarland C.E. Isolating the effects of symbolic distance and semantic congruity in comparative judgments: An additive-factors analysis. Memory & Cognition 8 (1980) 612-622
8. Fias W., Brysbaert M., Geypens F., and d'Ydewalle G. The importance of magnitude information in numerical processing: Evidence from the SNARC effect. Mathematical Cognition 2 (1996) 95-110
9. Fias W., and Fischer M.H. Spatial representation of numbers. In: Campbell J.I.D. (Ed). Handbook of mathematical cognition (2005), Psychology Press, New York 43-54
10. Fias W., Lauwereyns J., and Lammertyn J. Irrelevant digits affect feature-based attention depending on the overlap of neural circuits. Cognitive Brain Research 12 (2001) 415-423
11. Fischer M.H. Spatial representations in number processing: Evidence from a pointing task. Visual Cognition 10 (2003) 493-508
12. Fischer M.H., Castel A.D., Dodd M.D., and Pratt J. Perceiving numbers causes spatial shifts of attention. Nature Neuroscience 6 (2003) 555-556
13. Fischer M.H., Warlop N., Hill R.L., and Fias V. Oculomotor bias induced by number perception. Experimental Psychology 51 (2004) 91-97
14. Gevers W., Lammertyn J., Notebaert W., Verguts T., and Fias W. Automatic response activation of implicit spatial information: Evidence from the SNARC effect. Acta Psychologica 122 (2006) 221-233
15. Gevers W., Reynvoet B., and Fias W. The mental representation of ordinal sequences is spatially organized. Cognition 87 (2003) B87-B95
16. Gevers W., Verguts T., Reynvoet B., Caessens B., and Fias W. Numbers and space: A computational model of the SNARC effect. Journal of Experimental Psychology: Human Perception and Performance 32 (2006) 32-44
17. Girelli L., Lucangeli D., and Butterworth B. The development of automaticity in accessing number magnitude. Journal of Experimental Child Psychology 76 (2000) 104-122
18. Hubbard E.M., Piazza M., Pinel P., and Dehaene S. Interactions between number and space in parietal cortex. Nature Reviews Neuroscience 6 (2005) 435-448
19. Hung Y.-H., Hung D.L., Tzeng O.J.-L., and Wu D.H. Flexible spatial mapping of different notations of numbers in Chinese readers. Cognition 106 (2008) 1441-1450
20. Ito Y., and Hatta T. Spatial structure of quantitative representation of numbers: Evidence from the SNARC effect. Memory & Cognition 32 (2004) 662-673
21. Kaufmann L., Koppelstaetter F., Siedentopf C., Haala I., Haberlandt E., Zimmerhackl L.B., Felber S., and Ischebeck A. Neural correlates of the number-size interference task in children. NeuroReport 17 (2006) 587-591
22. Keus I.M., Jenks K.M., and Schwarz W. Psychophysiological evidence that the SNARC effect has its functional locus in a response selection stage. Cognitive Brain Research 24 (2005) 48-56
23. Keus I.M., and Schwarz W. Searching for the functional locus of the SNARC effect: Evidence for a response-related origin. Memory & Cognition 33 (2005) 681-695
24. Lammertyn J., Fias W., and Lauwereyns J. Semantic influences on feature-based attention due to overlap of neural circuits. Cortex 38 (2002) 878-882
25. Moyer R.S., and Landauer T.K. Time required for judgments of numerical inequality. Nature 215 (1967) 1519-1520
26. Müller D., and Schwarz W. Is there an internal association of numbers to hands? The task set influences the nature of the SNARC effect. Memory & Cognition 35 (2007) 1151-1161
27. Noël M.-P., Rousselle L., and Mussolin C. Magnitude representation in children. In: Campbell J.I.D. (Ed). Handbook of mathematical cognition (2005), Psychology Press, New York 43-54
28. Opfer J.E., and Thompson C.A. Even early representations of numerical magnitude are spatially organized: Evidence for a directional magnitude bias in pre-reading preschoolers. In: Sun R., and Miyake N. (Eds). Proceedings of the 28th annual conference of the Cognitive Science Society (2006), Cognitive Science Society, Vancouver, British Columbia 639-644
29. Proctor R.W., and Cho Y.S. Polarity correspondence: A general principle for performance of speeded binary classification tasks. Psychological Bulletin 132 (2006) 416-442
30. Rouselle L., and Noël M.-P. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing. Cognition 102 (2007) 361-395
31. Rubinsten O., and Henik A. Automatic activation of internal magnitudes: A study of developmental dyscalculia. Neuropsychology 19 (2005) 641-648
32. Rubinsten O., Henik A., Berger A., and Shahar-Shalev S. The development of internal representations of magnitude and their association with Arabic numerals. Journal of Experimental Child Psychology 81 (2002) 74-92
33. Schwarz W., and Keus I.M. Moving the eyes along the mental number line: Comparing SNARC effects with saccadic and manual responses. Perception & Psychophysics 66 (2004) 651-664
34. Sekuler R., and Mierkiewicz D. Children's judgments of numerical inequality. Child Development 48 (1977) 630-633
35. Temple E., and Posner M.I. Brain mechanisms of quantity are similar in 5-year-old children and adults. Proceedings of the National Academy of Sciences of the United States of America 95 (1998) 7836-7841
36. Tversky B., Kugelmass S., and Winter A. Cross-cultural and developmental trends in graphic productions. Cognitive Psychology 23 (1991) 515-557
37. Tzelgov J., and Ganor-Stern D. Automaticity in processing ordinal information. In: Campbell J.I.D. (Ed). Handbook of mathematical cognition (2005), Psychology Press, New York 43-54
38. Tzelgov J., Meyer J., and Henik A. Automatic and intentional processing of numerical information. Journal of Experimental Psychology: Learning, Memory, and Cognition 18 (1992) 166-179
39. Wood G., Nuerk H.C., and Willmes K. Crossed hands and the SNARC effect: A failure to replicate Dehaene, Bossini, and Giraux (1993). Cortex 42 (2006) 1069-1079
40. Zebian S. 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 (2005) 165-190
41. Zhou X., Chen Y., Chen C., Jiang T., Zhang H., and Dong Q. Chinese kindergartners' automatic processing on numerical magnitude in Stroop-like tasks. Memory & Cognition 35 (2007) 464-470