Understanding less than nothing: Neural distance effects for negative numbers

NeuroImage

Volumn 62, Issue 1, 2012, Pages 542-554

  Gullick, Margaret M ^a   Wolford, George ^a   Temple, Elise ^a,b  

^a Lamont Doherty Earth Observatory   (United States)

^b Neuro Focus   (United States)

Author keywords

Distance effect; FMRI; Integers; Intraparietal sulcus; Negative numbers; Number

Indexed keywords

ADULT; ARTICLE; BEHAVIOR; BRAIN REGION; CAUDATE NUCLEUS; COMPREHENSION; CONTROLLED STUDY; FEMALE; FUNCTIONAL MAGNETIC RESONANCE IMAGING; HUMAN; HUMAN EXPERIMENT; IMAGE ANALYSIS; INTRAPARIETAL SULCUS; MALE; NERVE POTENTIAL; NEUROIMAGING; NORMAL HUMAN; OCCIPITAL LOBE; PARIETAL LOBE; PRIORITY JOURNAL; PUTAMEN; RESPONSE TIME;

ADOLESCENT; BRAIN; BRAIN MAPPING; COGNITION; COMPREHENSION; FEMALE; HUMANS; MALE; MATHEMATICS; TASK PERFORMANCE AND ANALYSIS; YOUNG ADULT;

EID: 84861783355     PISSN: 10538119     EISSN: 10959572     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2012.04.058     Document Type: Article

References (53)

1. Ansari D., Dhital B., Siong S.C. Parametric effects of numerical distance on the intraparietal sulcus during passive viewing of rapid numerosity changes. Brain Res. 2006, 1067(1):181-188. 10.1016/J.Brainres.2005.10.083.
2. Ansari D., Fugelsang J.A., Dhital B., Venkatraman V. Dissociating response conflict from numerical magnitude processing in the brain: an event-related fMRI study. NeuroImage 2006, 32(2):799-805. 10.0116/J.Neuroimage.2006.04.184.
3. Arsalidou M., Taylor M.J. Is 2+2=4? Meta-analyses of brain areas needed for numbers and calculations. NeuroImage 2011, 54(3):2382-2393. 10.1016/J.Neuroimage.2010.10.009.
4. Blair K., Rosenberg-Lee M., Tsang J.M., Schwartz D., Menon V. Beyond natural numbers: representation of negative numbers in the parietal cortex. Front. Hum. Neurosci. 2012, 6(7). doi: 10.3389/fnhum.2012.00007.
5. Brett M. MniTalairach - MRC CBU Imaging Wiki Retrieved from. http://imaging.mrc-cbu.cam.ac.uk/imaging/MniTalairach.
6. Buckley P.B., Gillman C.B. Comparisons of digits and dot patterns. J. Exp. Psychol. 1974, 103(6):1131-1136.
7. Chassy P., Grodd W. Comparison of quantities: core and format-dependent regions as revealed by fMRI. Cereb. Cortex. 2012, 22(6):1420-1430.
8. Cohen Kadosh R., Walsh V. Numerical representation in the parietal lobes: abstract or not abstract?. Behav. Brain Sci. 2009, 32(3-4):313-373. 10.1017/S0140525x09990938.
9. Cohen Kadosh R., Henik A., Rubinsten O., Mohr H., Dori H., van de Ven V. Are numbers special? The comparison systems of the human brain investigated by fMRI. Neuropsychologia 2005, 43(9):1238-1248. 10.1016/J.Neuropsychologia.2004.12.017.
10. Cohen Kadosh R., Lammertyn J., Izard V. Are numbers special? An overview of chronometric, neuroimaging, developmental and comparative studies of magnitude representation. Prog. Neurobiol. 2008, 84(2):132-147. 10.1016/J.Pneurobio.2007.11.001.
11. Cui X., Li J., Song X. xjview: A Viewing Program for SPM 2011.
12. De Smedt B., Verschaffel L., Ghesquiere P. The predictive value of numerical magnitude comparison for individual differences in mathematics achievement. J. Exp. Child Psychol. 2009, 103(4):469-479. 10.1016/J.Jecp. 2009.01.010.
13. Dehaene S., Dupoux E., Mehler J. Is numerical comparison digital?: analogical and symbolic effects in 2-digit number comparison. J. Exp. Psychol. 1990, 16(3):626-641.
14. Dehaene S., Dehaene-Lambertz G., Cohen L. Abstract representations of numbers in the animal and human brain. Trends Neurosci. 1998, 21(8):355-361.
15. Dehaene S., Spelke E., Pinel P., Stanescu R., Tsivkin S. Sources of mathematical thinking: behavioral and brain-imaging evidence. Science 1999, 284(5416):970-974.
16. Dehaene S., Piazza M., Pinel P., Cohen L. Three parietal circuits for number processing. Cogn. Neuropsychol. 2003, 20(3-6):487-506. 10.1080/02643290244000239.
17. Dehaene S., Molko N., Cohen L., Wilson A.J. Arithmetic and the brain. Curr. Opin. Neurobiol. 2004, 14(2):218-224. 10.1016/j.conb.2004.03.008.
18. Delazer M., Domahs F., Bartha L., Brenneis C., Lochy A., Trieb R. Learning complex arithmetic: an fMRI study. Cogn. Brain Res. 2003, 18:76-88.
19. Delazer M., Domahs F., Lochy A., Karner E., Benke T., Poewe W. Number processing and basal ganglia dysfunction: a single case study. Neuropsychologia 2004, 42(8):1050-1062. 10.1016/J.Neuropsychologia.2003.12.009.
20. Eger E., Sterzer P., Russ M.O., Giraud A.L., Kleinschmidt A. A supramodal number representation in human intraparietal cortex. Neuron 2003, 37(4):719-725.
21. Fehr T., Code C., Herrmann M. Common brain regions underlying different arithmetic operations as revealed by conjunct fMRI-BOLD activation. Brain Res. 2007, 1172:93-102. 10.1016/J.Brainres.2007.07.043.
22. Fischer M.H. Cognitive representation of negative numbers. Psychol. Sci. 2003, 14(3):278-282.
23. Franklin M.S., Jonides J. Order and magnitude share a common representation in parietal cortex. J. Cogn. Neurosci. 2009, 21(11):2114-2120.
24. Ganor-Stern D., Tzelgov J. Negative numbers are generated in the mind. Exp. Psychol. 2008, 55(3):157-163. 10.1027/1618-3169.55.3.157.
25. Ganor-Stern D., Pinhas M., Kallai A., Tzelgov J. Holistic representation of negative numbers is formed when needed for the task. Q. J. Exp. Psychol. 2010, 63(10):1969-1981. 10.1080/17470211003721667.
26. Gobel S.M., Walsh V., Rushworth M.F.S. The mental number line and the human angular gyrus. NeuroImage 2001, 14(6):1278-1289. 10.1006/Nimg.2001.0927.
27. Gobel S.M., Johansen-Berg H., Behrens T., Rushworth M.F.S. Response-selection-related parietal activation during number comparison. J. Cogn. Neurosci. 2004, 16(9):1536-1551.
28. Holloway I.D., Ansari D. Domain-specific and domain-general changes in children's development of number comparison. Dev. Sci. 2008, 11(5):644-649. 10.1111/J.1467-7687.2008.00712.X.
29. Holloway I.D., Ansari D. Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children's mathematics achievement. J. Exp. Child Psychol. 2009, 103(1):17-29. 10.1016/J.Jecp. 2008.04.001.
30. Holloway I.D., Ansari D. Developmental specialization in the right intraparietal sulcus for the abstract representation of numerical magnitude. J. Cogn. Neurosci. 2010, 22(11):2627-2637.
31. Holloway I.D., Price G.R., Ansari D. Common and segregated neural pathways for the processing of symbolic and nonsymbolic numerical magnitude: an fMRI study. NeuroImage 2010, 49(1):1006-1017.
32. Hubbard E.M., Piazza M., Pinel P., Dehaene S. Interactions between number and space in parietal cortex. Nat. Rev. Neurosci. 2005, 6(6):435-448. 10.1038/Nrn1684.
33. Jost K., Khader P., Burke M., Bien S., Rosler F. Dissociating the solution processes of small, large, and zero multiplications by means of fMRI. NeuroImage 2009, 46(1):308-318. 10.1016/J.Neuroimage.2009.01.044.
34. Kaufman A.S., Kaufman N.L. Kaufman Test of Educational Achievement 2004, KTEA-II, Pearson. Second Edition.
35. Krajcsi A., Igacs J. Processing negative numbers by transforming negatives to positive range and by sign shortcut. Eur. J. Cogn. Psychol. 2010, 22(7):1021-1038.
36. Lancaster J.L., Rainey L.H., Summerlin J.L., Freitas C.S., Fox P.T., Evans A.C. Automated labeling of the human brain: a preliminary report on the development and evaluation of a forward-transform method. Hum. Brain Mapp. 1997, 5(4):238-242.
37. Lancaster J.L., Woldorff M.G., Parsons L.M., Liotti M., Freitas E.S., Rainey L. Automated Talairach Atlas labels for functional brain mapping. Hum. Brain Mapp. 2000, 10(3):120-131.
38. Lavidor M., Brinksman V., Gobel S.M. Hemispheric asymmetry and the mental number line: comparison of double-digit numbers. Neuropsychologia 2004, 42(14):1927-1933. 10.1016/J.Neuropsychologia.2004.05.003.
39. Menon V., Rivera S.M., White C.D., Glover G.H., Reiss A.L. Dissociating prefrontal and parietal cortex activation during arithmetic processing. NeuroImage 2000, 12(4):357-365.
40. Moyer R.S., Landauer T.K. Time required for judgements of numerical inequality. Nature 1967, 215(5109):1519-1520.
41. Nieder A., Dehaene S. Representation of number in the brain. Annu. Rev. Neurosci. 2009, 32:185-208. 10.1146/Annurev.Neuro.051508.135550.
42. Nomura E.M., Reber P.J. A review of medial temporal lobe and caudate contributions to visual category learning. Neurosci. Biobehav. Rev. 2008, 32(2):279-291. 10.1016/J.Neubiorev.2007.07.006.
43. Oldfield R.C. Assessment and analysis of handedness - Edinburgh inventory. Neuropsychologia 1971, 9(1):97.
44. Pinel P., Le Clec'H G., van de Moortele P.F., Naccache L., Le Bihan D., Dehaene S. Event-related fMRI analysis of the cerebral circuit for number comparison. Neuroreport 1999, 10(7):1473-1479.
45. Pinel P., Dehaene S., Riviere D., LeBihan D. Modulation of parietal activation by semantic distance in a number comparison task. NeuroImage 2001, 14(5):1013-1026.
46. Poline J.B., Kherif F., Penny W. Contrasts and classical inference. Human Brain Function 2003, Academic Press. 2nd edition. R. Frackowiak, K.J. Friston, C. Frith, R. Dolan, C.J. Price, S. Zeki, J. Ashburner, W. Penny (Eds.).
47. Poltrock S.E., Schwartz D.R. Comparative judgments of multidigit numbers. J. Exp. Psychol. Learn. Mem. Cogn. 1984, 10(1):32-45.
48. Tzelgov J., Ganor-Stern D., Maymon-Schreiber K. The representation of negative numbers: exploring the effects of mode of processing and notation. Q. J. Exp. Psychol. 2009, 62(3):605-624. 10.1080/17470210802034751.
49. Van Opstal F., Gevers W., De Moor W., Verguts T. Dissecting the symbolic distance effect: comparison and priming effects in numerical and nonnumerical orders. Psychon. Bull. Rev. 2008, 15(2):419-425. 10.3758/pbr.15.2.419.
50. Van Opstal F., Fias W., Peigneux P., Verguts T. The neural representation of extensively trained ordered sequences. NeuroImage 2009, 47(1):367-375. 10.1016/J.Neuroimage.2009.04.035.
51. Varma S., Schwartz D.L. The mental representation of integers: an abstract-to-concrete shift in the understanding of mathematical concepts. Cognition 2011, 121(3):363-385.
52. Varma S., Schwartz D.L., Lindgren R., Go J. Integer comparison and the inverse symbolic distance effect. Paper Presented at the Proceedings of the 19th Annual Cognitive Science Society, Nashville, TN 2007.
53. Verguts T., De Moor W. Two-digit comparison: decomposed, holistic, or hybrid?. Exp. Psychol. 2005, 52(3):195-200. 10.1027/1618-3169.52.3.195.