How numbers bias preschoolers' spatial search

Journal of Cross-Cultural Psychology

Volumn 42, Issue 4, 2011, Pages 682-695

  Opfer, John E ^a   Furlong, Ellen E ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

number cognition; spatial biases; spatial numeric associations

Indexed keywords

EID: 79956093097     PISSN: 00220221     EISSN: 15525422     Source Type: Journal    
DOI: 10.1177/0022022111406098     Document Type: Article

References (53)

1. Ansari, D., & Dhital, B. (2006). Age-related changes in the activation of the Intraparietal Sulcus during nonsymbolic magnitude processing: An event-related functional magnetic resonance imaging study. Journal of Cognitive Neuroscience, 18, 1820-1828.
2. Ansari, D., Nicolas, G., Lucas, E., Hamon, K., & Dhital, B. (2005). Neural correlates of symbolic number processing in children and adults. Brain Imaging, 16, 1769-1773.
3. Barnett, S.M., & Ceci, S.J. (2002). When and where do we apply what we learn? A taxonomy for far transfer. Psychological Bulletin, 128, 612-637.
4. Berch, D.B., Foley, E.J., Hill, R.J., & Ryan, P.M. (1999). Extracting parity and magnitude from Arabic numerals: Developmental changes in number processing and mental representation. Journal of Experimental Child Psychology, 74, 286-308.
5. Boroditsky, L. (2000). Metaphoric structuring: Understanding time through spatial metaphors. Cognition, 75, 1-28.
6. Boroditsky, L. (2001). Does language shape thought? Mandarin and English speakers' conceptions of time. Cognitive Psychology, 43, 1-22.
7. Callabria, M., & Rossetti, Y. (2005). Interference between number processing and line bisection: A methodology. Neuropsychologia, 43, 779-783.
8. Cantlon, J.F., Brannon, E.M., Carter, E.J., & Pelphrey, K.A. (2006). Functional imaging of numerical processing in adults and 4-y-old children. PLoS Biology, 4, 844-854.
9. Chatterjee, A., Maher, L.M., & Heilman, K.M. (1995). Spatial characteristics of thematic role representation. Neuropsychologia, 33, 643-648.
10. Chatterjee, A., Southwood, M.H., & Basilico, D. (1999). Verbs, events and spatial representations, Neuropsychologia, 37, 395-402.
11. Chen, J.Y. (2007). Do Chinese and English speakers think about time differently? Failure of replicating Boroditsky (2001). Cognition, 104, 427-436.
12. Corbetta, M., Kincade, J., Ollinger, J., McAvoy, M., & Shulman, G. (2000). Voluntary orienting is dissociated from target detection in human posterior parietal cortex. Nature Neuroscience, 3, 292-297.
13. Dehaene, S. (2007). Symbols and quantities in parietal cortex: Elements of a mathematical theory of number representation and manipulation. In P. Haggard, Y. Rossetti, & M. Kawato (Eds.), Sensorimotor foundations of higher cognition, XXII of attention and performance (pp. 527-574). Cambridge, MA: Harvard University Press.
14. Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and numerical magnitude. Journal of Experimental Psychology: General, 122, 371-396.
15. Dehaene, S., Izard, V., Spelke, E., & Pica, P. (2008). Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science, 320, 1217-1220.
16. Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20, 487-506.
17. Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of mathematical thinking: Behavioral and brain-imaging evidence. Science, 284, 970-974.
18. de Hevia, M.D., Girelli, L., & Vallar, G. (2006). Numbers and space: A cognitive illusion. Experimental Brain Research, 168, 254-264.
19. DeLoache, J.S. (1987). Rapid change in the symbolic functioning of very young children. Science, 238, 1556-1557.
20. Fias, W., Lammertyn, J., Reynvoet, B., Dupont, P., & Orban, G.A. (2003). Parietal representation of symbolic and nonsymbolic magnitude. Journal of Cognitive Neuroscience, 15, 47-56.
21. Fischer, M.H. (2001). Number processing induces spatial performance biases. Neurology, 57, 822-826.
22. Fischer, M.H., Castel, A.D., Dodd, M.D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555-556.
23. Geminiani, G., Bisiach, E., Berti, A., & Rusconi, M.L. (1995). Analogical representation and language structure. Neuropsychologia, 33, 1565-1574.
24. Göbel, S., Walsh, V., & Rushworth, M.F.S. (2001). The mental number line and the human angular gyrus. NeuroImage, 14(6), 1278-1289.
25. de Hevia, M.D. & Spelke, E.S. (2009). Spontaneous mapping of number and space in adults and young children. Cognition, 111, 198-207.
26. Hubbard, E.M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions between number and space in the parietal cortex. Nature, 6, 435-448.
27. January, D., & Kako, E. (2007). Re-evaluating evidence for linguistic relativity: Reply to Boroditsky (2001). Cognition, 104, 417-426.
28. Johnson, M.H. (2005). Subcortical face processing. Nature Reviews Neuroscience, 6, 766-774.
29. Karmiloff-Smith, A. (1998). Development itself is the key to understanding developmental disorders. Trends in Cognitive Sciences, 2, 389-398.
30. Knops, A., Viarouge, A., & Dehaene, S. (2009). Dynamic representations underlying symbolic and nonsymbolic calculation: Evidence from the operational momentum effect. Attention, Perception, & Psychophysics, 71, 803-821.
31. Landau, B. (1996). Multiple geometric representations of objects in languages and language learners. In P. Bloom, M. A. Peterson, L. Nadel, & M. F. Garrett (Eds.), Language and space (pp. 317-363). Cambridge, MA: MIT Press.
32. Lee, K. (2000). Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia. Annals of Neurology, 48, 657-661.
33. Li, P., & Gleitman, L. (2002). Turning the tables: Language and spatial reasoning, Cognition, 83, 265-294.
34. Loewenstein, J., & Gentner, D. (2005). Relational language and the development of relational mapping. Cognitive Psychology, 50, 315-353.
35. Longo, M.R., & Lourenco, S.F. (2007). Spatial attention and the mental number line: Evidence for characteristic biases and compression. Neuropsychologia, 45, 1400-1407.
36. Maas, A., & Russo, A. (2003). Directional bias in the mental representation of spatial events: Nature or culture? Psychological Science, 14, 296-301.
37. McCrink, K., Dehaene, S., & Dehaene-Lambertz, G. (2007). Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception and Psychophysics, 69, 1324-1333.
38. Opfer, J.E., & Siegler, R.S. (2007). Representational change and children's numerical estimation. Cognitive Psychology, 55, 169-195.
39. Opfer, J.E., & Thompson, C.A. (2008). The trouble with transfer: Insights from microgenetic changes in the representation of numerical magnitude. Child Development, 79, 788-804.
40. Opfer, J.E., Thompson, C.A., & Furlong, E.E. (2010). Early development of spatial-numeric associations: Evidence from spatial and quantitative performance of preschoolers. Developmental Science, 13, 761-771.
41. Penner-Wilger, M., Fast, L., Lefevre, J.A., Smith-Chant, B.L., Skwarchuk, S.L., Kamawar, D., & Bisanz, J. (2007). The foundations of numeracy: Subitizing, finger gnosia, and fine motor ability. In D. S. McNamara & J. G. Trafton (Eds.), Proceedings of the 29th annual conference of the cognitive science society (pp. 1385-1390). Austin, TX: Cognitive Science Society.
42. Penner-Wilger, M., Fast, L., Lefevre, J.A., Smith-Chant, B.L., Skwarchuk, S.L., Kamawar, D., Bisanz, J., & Deslauriers, W.A. (2008). Investigating the building blocks of numerical representations: Subitizing and finger gnosis. In B. C. Love, K. McRae, & V. M. Sloutsky (Eds.), Proceedings of the 30th annual conference of the cognitive science society (pp. 1379). Austin, TX: Cognitive Science Society.
43. Piazza, M., Mechelli, A., Butterworth, B., & Price, C. (2002). Are subitizing and counting implemented as separate or functionally overlapping processes? Neuroimage, 15, 435-446.
44. 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.
45. Pinel, P., Piazza, M., LeBihan, D., & Dehaene, S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron, 41, 983-993.
46. Potter, M.C., & Levy, E.I. (1968). Spatial enumeration without counting. Child Development, 39, 54-98.
47. Rossetti, Y., Jacquin-Courtois, S., Rode, G., Ota, H., Michel, C., & Boisson, D. (2004). Does action make the link between number and space representation? Visuo-manual adaptation improves number bisection in unilateral neglect. Psychological Science, 15, 426-430.
48. Shaki, S., Fischer, M.H., & Petrusic, W.M. (2009). Reading habits for both words and numbers contribute to the SNARC effect. Psychonomic Bulletin & Review, 16, 328-331.
49. Siegler, R.S. (2006). Microgenetic analyses of learning. In W. Damon & R. M. Lerner (Series Eds.) & D. Kuhn & R. S. Siegler (Vol. Eds.), Handbook of child psychology: Volume 2: Cognition, perception, and language (6th ed., pp. 464-510). Hoboken, NJ: Wiley.
50. Siegler, R.S., & Opfer, J.E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14, 237-243.
51. Simon, O., Cohen, L., Mangin, J., Bihan, D., & Dehaene, S. (2002). Topographical layout of hand, eye, calculation and language related areas in the human parietal lobe. Neuron, 33, 475-487.
52. Singley, K., & Anderson, J.R. (1989). The transfer of cognitive skill. Cambridge, MA: Harvard University Press.
53. Zorzi, M., Priftis, K., & Umilta, C. (2002). Brain damage: Neglect disrupts the mental number line. Nature, 417(6885), 138-139.