Is there a generalized magnitude system in the brain? Behavioral, neuroimaging, and computational evidence

Frontiers in Psychology

Volumn 4, Issue JUL, 2013, Pages

  Van Opstal, Filip ^a   Verguts, Tom ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84885338086     PISSN: None     EISSN: 16641078     Source Type: Journal    
DOI: 10.3389/fpsyg.2013.00435     Document Type: Article

References (38)

1. Balci, F., and Gallistel, C. R. (2006). Cross-domain transfer of quantitative discriminations: is it all a matter of proportion? Psychon. Bull. Rev. 13, 636-642.
2. Bonato, M., Zorzi, M., and Umiltà, C. (2012). When time is space: evidence for a mental time line. Neurosci. Biobehav. Rev. 36, 2257-2273. doi: 10.1016/j.neubiorev.2012.08.007
3. Bueti, D., and Walsh, V. (2009). The parietal cortex and the representation of time, space, number and other magnitudes. Philos. Trans R. Soc. Lond. Series B Bio. Sci. 364, 1831-1840. doi: 10.1098/rstb.2009.0028
4. Burr, D. C., Ross, J., Binda, P., and Morrone, M. C. (2010). Saccades compress space, time and number. Trends Cogn. Sci. 14, 528-533. doi: 10.1016/j.tics.2010.09.005
5. Cappelletti, M., Freeman, E. D., and Butterworth, B. L. (2011). Time processing in dyscalculia. Front. Psychol. 2:364. doi: 10.3389/fpsyg.2011.00364
6. Castelli, F., Glaser, D. E., and Butterworth, B. (2006). Discrete and analogue quantity processing in the parietal lobe: a functional MRI study. Proc. Natl Acad. Sci. U.S.A. 103, 4693-4698. doi: 10.1073/pnas.0600444103
7. Chiao, J. Y., Bordeaux, A. R., and Ambady, N. (2004). Mental representations of social status. Cognition 93, B49-B57. doi: 10.1016/j.cognition.2003.07.008
8. Chiou, R. Y.-C., Wu, D. H., Tzeng, O. J.-L., Hung, D. L., and Chang, E. C. (2012). Relative size of numerical magnitude induces a size-contrast effect on the grip scaling of reach-to-grasp movements. Cortex 48, 1043-1051. doi: 10.1016/j.cortex.2011.08.001
9. Cohen Kadosh, R., Brodsky, W., Levin, M., and Henik, A. (2008). Mental representation: what can pitch tell us about the distance effect? Cortex 44, 470-477. doi: 10.1016/j.cortex.2007.08.002
10. Cohen Kadosh, R., Henik, A., Rubinsten, O., Mohr, H., Dori, H., Van de Ven, V., et al. (2005). Are numbers special? The comparison systems of the human brain investigated by fMRI. Neuropsychologia. 43, 1238-1248. doi: 10.1016/j.neuropsychologia.2004.12.017
11. Cohen Kadosh, R., Lammertyn, J., and Izard, V. (2008). Are numbers special? An overview of chronometric, neuroimaging, developmental and comparative studies of magnitude representation. Prog. Neurobiol. 84, 132-147. doi: 10.1016/j.pneurobio.2007.11.001
12. Daar, M., and Pratt, J. (2008). Digits affect actions: the SNARC effect and response selection. Cortex 44, 400-405. doi: 10.1016/j.cortex.2007.12.003
13. Dehaene, S., Piazza, M., Pinel, P., and Cohen, L. (2003). Three parietal circuits for number processing. Cogn. Neuropsychol. 20, 487-506. doi: 10.1080/02643290244000239
14. Dewind, N. K., and Brannon, E. M. (2012). Malleability of the approximate number system: effects of feedback and training. Front. Hum. Neurosci. 6:68. doi: 10.3389/fnhum.2012.00068
15. Dormal, V., Andres, M., and Pesenti, M. (2008). Dissociation of numerosity and duration processing in the left intraparietal sulcus: a transcranial magnetic stimulation study. Cortex 44, 462-469. doi: 10.1016/j.cortex.2007.08.011
16. Dormal, V., Grade, S., Mormont, E., and Pesenti, M. (2012). Dissociation between numerosity and duration processing in aging and early Parkinson's disease. Neuropsychologia 50, 2365-2370. doi: 10.1016/j.neuropsychologia.2012.06.006
17. Feigenson, L. (2007). The equality of quantity. Trends Cogn. Sci. 11, 185-187. doi: 10.1016/j.tics.2007.01.006
18. Fischer, M. H., Mills, R. A., and Shaki, S. (2010). How to cook a SNARC: number placement in text rapidly changes spatial-numerical associations. Brain Cogn. 72, 333-336. doi: 10.1016/j.bandc.2009.10.010
19. Genovesio, A., Tsujimoto, S., and Wise, S. P. (2012). Encoding goals but not abstract magnitude in the primate prefrontal cortex. Neuron 74, 656-662. doi: 10.1016/j.neuron.2012.02.023
20. Gevers, W., Verguts, T., Reynvoet, B., Caessens, B., and Fias, W. (2006). Numbers and space: a computational model of the SNARC effect. J. Exp. Psychol. Hum. Percept. Perform. 32, 32-44. doi: 10.1037/0096-1523.32.1.32
21. Gobel, S. M., Johansen-Berg, H., Berhens, T., and Rushworth, M. F. S. (2004). Response-selection-related parietal activation during number comparison. J. Cogn. Neurosci. 16, 1536-1551. doi: 10.1162/0898929042568442
22. Hurks, P. P. M., and Van Loosbroek, E. (2012). Time estimation deficits in childhood mathematics difficulties. J. Learn. Disabil. (in press).
23. Lourenco, S. F., and Longo, M. R. (2011). "Origins and development of generalized magnitude representation," in Space, Time and Number in the Brain: Searching for the Foundations of Mathematical Thought, eds S. Dehaene and E. M. Brannon (London: Elsevier), 225-244. doi: 10.1016/B978-0-12-385948-8.00015-3
24. Meck, W. H., and Church, R. M. (1983). A mode control model of counting and timing processes. J. Exp. Psychol. Anim. Behav. Process. 9, 320-334. doi: 10.1037/0097-7403.9.3.320
25. Moyer, R. S., and Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature 215, 1519-1520.
26. Pinel, P., Piazza, M., Le Bihan, D., and Dehaene, S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron 41, 983-993.
27. Rusconi, E., Kwan, B., Giordano, B. L., Umiltà, C., and Butterworth, B. (2006). Spatial representation of pitch height: the SMARC effect. Cognition 99, 113-129. doi: 10.1016/j.cognition.2005.01.004
28. Santens, S., and Verguts, T. (2011). The size congruity effect: is bigger always more? Cognition 118, 94-110. doi: 10.1016/j.cognition.2010.10.014
29. Shuman, M., and Kanwisher, N. (2004). Numerical magnitude in the human parietal lobe; tests of representational generality and domain specificity. Neuron 44, 557-569. doi: 10.1016/j.neuron.2004.10.008
30. Stevens, S. S. (1957). On the Psychophysical law. Psycholo. Rev. 64, 153-181.
31. Tudusciuc, O., and Nieder, A. (2007). Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proc. Natl. Acad. Sci. U.S.A. 104, 14513-14518. doi: 10.1073/pnas.0705495104
32. Van Dijck, J.-P., and Fias, W. (2011). A working memory account for spatial-numerical associations. Cognition 119, 114-119. doi: 10.1016/j.cognition.2010.12.013
33. Van Opstal, F., Gevers, W., De Moor, W., and Verguts, T. (2008). Dissecting the symbolic distance effect: comparison and priming effects in numerical and nonnumerical orders. Psychon. Bull. Rev. 15, 419-425. doi: 10.3758/PBR.15.2.419
34. Verguts, T., Fias, W., and Stevens, M. (2005). A model of exact small-number representation. Psychon. Bull. Rev. 12, 66-80.
35. Vicario, C. M. (2012). Perceiving numbers affects the internal random movements generator. Sci. World J. 2012, 347068. doi: 10.1100/2012/347068
36. Vicario, C. M. (2013). Landmark test and decision making: a reply to a reply. Perception 42, 356-357. doi: 10.1068/p7334
37. Vicario, C. M., Rappo, G., Pepi, A., Pavan, A., and Martino, D. (2012). Temporal abnormalities in children with developmental dyscalculia. Dev. Neuropsychol. 37, 636-652. doi: 10.1080/87565641.2012.702827
38. Walsh, V. (2003). A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cogn. Sci. 7, 483-488. doi: 10.1016/j.tics.2003.09.002