Categorical and continuous - disentangling the neural correlates of the carry effect in multi-digit addition

Behavioral and Brain Functions

Volumn 6, Issue , 2010, Pages

  Klein, Elise ^a,b,c   Willmes, Klaus ^a,b   Dressel, Katharina ^a,b   Domahs, Frank ^a,b   Wood, Guilherme ^d   Nuerk, Hans Christoph ^c,e   Moeller, Korbinian ^c,e  

^a UNIVERSITY HOSPITAL RWTH AACHEN   (Germany)

^b RWTH AACHEN UNIVERSITY   (Germany)

^c UNIVERSITY OF TÜBINGEN   (Germany)

^d UNIVERSITY OF SALZBURG   (Austria)

^e KNOWLEDGE MEDIA RESEARCH CENTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARITHMETIC; ARTICLE; BASAL GANGLION; BRAIN FUNCTION; COGNITION; CONTROLLED STUDY; CORRELATION ANALYSIS; FRONTAL CORTEX; FUNCTIONAL MAGNETIC RESONANCE IMAGING; HUMAN; HUMAN EXPERIMENT; LANGUAGE; LEFT HEMISPHERE; MALE; MATHEMATICAL COMPUTING; NORMAL HUMAN; PARIETAL CORTEX; PRIORITY JOURNAL; PROBLEM SOLVING; WORKING MEMORY; BRAIN; BRAIN MAPPING; CLASSIFICATION; COMPARATIVE STUDY; MATHEMATICS; METHODOLOGY; NERVE CELL NETWORK; NUCLEAR MAGNETIC RESONANCE IMAGING; PHOTOSTIMULATION; PHYSIOLOGY;

ADULT; BRAIN; BRAIN MAPPING; HUMANS; MAGNETIC RESONANCE IMAGING; MALE; MATHEMATICS; NERVE NET; PHOTIC STIMULATION; PROBLEM SOLVING; YOUNG ADULT;

EID: 78349268342     PISSN: None     EISSN: 17449081     Source Type: Journal    
DOI: 10.1186/1744-9081-6-70     Document Type: Article

References (57)

1. Deschuyteneer M, De Rammelaere S, Fias W. The addition of two-digit numbers: exploring carry versus no-carry problems. Psychol Sci 2005, 47:74-83.
2. Fürst AJ, Hitch GJ. Separate roles for executive and phonological components of working memory in mental arithmetic. Mem Cognit 2000, 28:774-782.
3. Imbo I, Vandierendonck A, De Rammelaere S. The role of working memory in the carry operation of mental arithmetic: Number and value of the carry. Q J Exp Psychol 2007, 60:708-731.
4. Imbo I, Vandierendonck A, Vergauwe E. The role of working memory in carrying and borrowing. Psychol Res 2007, 71:467-483. 10.1007/s00426-006-0044-8, 16622702.
5. Klein E, Nuerk H-C, Wood G, Knops A, Willmes K. The exact vs. approximate distinction in numerical cognition may not be exact, but only approximate: How different processes work together in multi-digit addition. Brain Cogn 2009, 2:369-381.
6. Kong J, Wang C, Kwong K, Vangel M, Chuac E, Gollub R. The neural substrate of arithmetic operations and procedure complexity. Cogn Brain Res 2005, 22:397-405.
7. Ashcraft MH, Stazyk EH. Mental addition: A test of three verification models. Mem Cognit 1981, 9:185-196.
8. Pesenti M, Thioux M, Seron X, De Volder A. Neuroanatomical substrates of Arabic number processing, numerical comparison and simple addition: a PET study. J Cogn Neurosci 2000, 12(3):461-479. 10.1162/089892900562273, 10931772.
9. Ashcraft MH, Kirk EP. The relationships among working memory, math anxiety, and performance. J Exp Psychol Gen 2001, 130:224-237. 10.1037/0096-3445.130.2.224, 11409101.
10. Seitz K, Schumann-Hengsteler R. Phonological loop and central executive processes in mental addition and multiplication. Psychologische Beitraege 2002, 44(2):275-302.
11. Liu X, Banich MT, Jacobson BL, Tanabe JL. Common and distinct neural substrates of attentional control in an integrated Simon and spatial Stroop task as assessed by event-related fMRI. Neuroimage 2004, 22:1097-1106. 10.1016/j.neuroimage.2004.02.033, 15219581.
12. Menon V, Rivera SM, White CD, Eliez S, Glover GH, Reiss AL. Functional optimisation of arithmetic processing in perfect performers. Cogn Brain Res 2000, 9:343-345.
13. Miller EK. The prefrontal cortex and cognitive control. Nat Rev Neurosci 2000, 1:58-65.
14. Klein E, Moeller K, Nuerk H-C, Willmes K. On the neuro-cognitive foundations of basic auditory number processing. Behav Brain Funct 2010, 6:42. 10.1186/1744-9081-6-42, 2911396, 20618926.
15. Nuerk H-C, Willmes K. On the magnitude representations of two-digit numbers. Psychol Sci 2005, 47:52-72.
16. Dehaene S, Piazza M, Pinel P, Cohen L. Three parietal circuits for number processing. Cogn Neuropsychol 2003, 20:487-506. 10.1080/02643290244000239, 20957581.
17. Knops A, Nuerk H-C, Sparing R, Foltys H, Willmes K. On the functional role of human parietal cortex in number processing: How gender mediates the impact of a 'virtual lesion' induced by rTMS. Neuropsychologia 2006, 44:2270-2283. 10.1016/j.neuropsychologia.2006.05.011, 16828812.
18. Wood G, Nuerk H-C, Willmes K. Neural representations of two-digit numbers: A parametric fMRI study. Neuroimage 2006, 46:358-367.
19. Goebel SM, Johansen-Berg H, Behrens T, Rushworth MFS. Response-selectionrelated parietal activation during number comparison. J Cogn Neurosci 2004, 16:1536-1551. 10.1162/0898929042568442, 15601517.
20. Stanescu-Cosson R, Pinel P, van de Moortele PF, Le Bihan D, Cohen L, Dehaene S. Understanding dissociations in dyscalculia: a brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. Brain 2000, 123:2240-2255. 10.1093/brain/123.11.2240, 11050024.
21. Krueger LE. Why 2 × 2 = 5 looks so wrong: On the odd-even rule in product verification. J Exp Psychol Learn Mem Cogn 1986, 14:141-149.
22. Lemaire P, Siegler RS. Four aspects of strategic change: contributions to children's learning of multiplication. J Exp Psychol Gen 1995, 124:83-97. 10.1037/0096-3445.124.1.83, 7897342.
23. Campbell JID, Parker HR, Doetzel NL. Interactive Effects of Numerical Surface Form and Operand Parity in Cognitive Arithmetic. J Exp Psychol Learn Mem Cogn 2004, 30:51-64. 10.1037/0278-7393.30.1.51, 14736296.
24. Resonance Technology Inc. , http://www.mrivideo.com
25. Auditory, Visual and Multi-modal Stimulus Delivery for Neuroscience. , http://nbs.neuro-bs.com/presentation
26. Statistical Parametric Mapping. , http://www.fil.ion.ucl.ac.uk/spm
27. Eickhoff SB, Stephan KE, Mohlberg H, Grefkes C, Fink GR, Amunts K, Zilles K. A new SPM toolbox for combining probabilistic cytoarchitectonic maps and functional imaging data. Neuroimage 2005, 25:1325-1335. 10.1016/j.neuroimage.2004.12.034, 15850749.
28. Anatomical automatic labeling. , http://www.cyceron.fr/web/aal__anatomical_automatic_labeling.html
29. Moeller K, Klein E, Nuerk H-C. (No) small adults - Children's processing of carry addition problems. Dev Neuropsychol
30. Wood G, Nuerk H-C, Moeller K, Geppert B, Schnitker R, Weber J, Willmes K. All for one but not one for all: How multiple number representations are recruited in one numerical task. Brain Res 2008, 1187:154-166. 10.1016/j.brainres.2007.09.094, 18022606.
31. Dehaene S. Origins of Mathematical Intuitions. Ann N Y Acad Sci 2009, 1156:232-259. 10.1111/j.1749-6632.2009.04469.x, 19338511.
32. Santens S, Roggemann C, Fias W, Verguts T. Number processing pathways in human parietal cortex. Cereb Cortex 2010, 20(1):77-88. 10.1093/cercor/bhp080, 2792188, 19429864.
33. Grefkes C, Ritzl A, Zilles K, Fink G. Human medial intraparietal cortex subserves visuomotor coordinate transformation. Neuroimage 2004, 23:1494-1506. 10.1016/j.neuroimage.2004.08.031, 15589113.
34. Just MA, Newman SD, Keller TA, McEleny A, Carpenter P. Imagery in sentence comprehension: an fMRI study. Neuroimage 2004, 21:112-124. 10.1016/j.neuroimage.2003.08.042, 14741648.
35. Delazer M, Domahs F, Lochy A, Karner E, Benke T, Poewe W. Number processing and basal ganglia dysfunction: a single case study. Neuropsychologia 2004, 42:1050-1062. 10.1016/j.neuropsychologia.2003.12.009, 15093144.
36. Dehaene S, Cohen L. Towards an anatomical and functional model of number processing. Math Cogn 1995, 1:83-120.
37. Pierrot-Deseilligny C, Milea D, Mueri RM. Eye movement control by the cerebral cortex. Curr Opin Neurol 2004, 17:17-25. 10.1097/00019052-200402000-00005, 15090873.
38. Dehaene S, Tzourio N, Frak V, Raynaud L, Cohen L, Mehler J, Mazoyer B. Cerebral activations during number multiplication and comparison: a PET study. Neuropsychologia 1996, 34(11):1097-1106. 10.1016/0028-3932(96)00027-9, 8904747.
39. Honey GD, Bullmore ET, Sharma T. Prolonged reaction time to a verbal working memory task predicts increased power of posterior parietal cortex activation. Neuroimage 2000, 12:495-503. 10.1006/nimg.2000.0624, 11034857.
40. Zurowski B, Gostomzyk J, Grön G, Weller R, Schirrmeister H, Neumeier B, Spitzer M, Reske SN, Walter H. Dissociating a common working memory network from different neural substrates of phonological and spatial stimulus processing. Neuroimage 2002, 15:45-57. 10.1006/nimg.2001.0968, 11771973.
41. Cohen JD, Forman SD, Braver T, Casey BJ, Servan-Schreiber D, Noll DC. Activation of the prefrontal cortex in a nonspatial working memory task with functional MRI. Hum Brain Mapp 1994, 1:293-304.
42. Rueckert L, Lange N, Partiot A, Appollonio I, Litvan I, Le Bihan D, Grafman J. Visualizing cortical activation during mental calculation with functional MRI. Neuroimage 1996, 3:97-103. 10.1006/nimg.1996.0011, 9345480.
43. Nuerk HC, Weger U, Willmes K. Decade breaks in the mental number line? Putting the tens and units back in different bins. Cognition 2001, 82(1):B25-33. 10.1016/S0010-0277(01)00142-1, 11672709.
44. Verguts T, De Moor W. Two-digit comparison decomposed, holistic or hybrid?. Exp Psychol 2005, 52:195-200.
45. Binder JR, Desai RH, Graves WW, Conant LL. Where is the Semantic System? A Critical Review and Meta-Analysis of 120 Functional Neuroimaging Studies. Cereb Cortex 2009, 19:2767-2796. 10.1093/cercor/bhp055, 19329570.
46. Grabner RH, Ischebeck A, Reishofer G, Koschutnig K, Delazer M, Ebner F, Neuper C. Fact Learning in Complex Arithmetic and Figural-Spatial Tasks: The Role of the Angular Gyrus and its Relation to Mathematical Competence. Hum Brain Mapp 2009, 30(9):2936-52. 10.1002/hbm.20720, 19172644.
47. Ischebeck A, Zamarian L, Siedentopf C, Koppelstaetter F, Benke T, Felber S, Delazer M. How specifically do we learn? Imaging the learning of multiplication and subtraction. Neuroimage 2006, 30:1365-1375. 10.1016/j.neuroimage.2005.11.016, 16413795.
48. Dehaene S, Spelke E, Pinel P, Stanescu R, Tsivkin S. Sources of mathematical thinking: behavioral and brain-imaging evidence. Science 1999, 284:970-974. 10.1126/science.284.5416.970, 10320379.
49. Delazer M, Domahs F, Bartha L, Brenneis C, Lochy A, Trieb T, Benke T. Learning complex arithmetic - an fMRI study. Cogn Brain Res 2003, 18:76-88.
50. Gruber O, Indefrey P, Steinmetz H, Kleinschmidt A. Dissociating neural correlates of cognitive components in mental calculation. Cereb Cortex 2001, 11:350-359. 10.1093/cercor/11.4.350, 11278198.
51. Lee KM. Cortical areas differentially involved in multiplication and subtraction: a functional magnetic resonance imaging study and correlation with a case of selective acalculia. Ann Neurol 2000, 48(4):657-661. 10.1002/1531-8249(200010)48:4<657::AID-ANA13>3.0.CO;2-K, 11026450.
52. Simon O, Mangin JF, Cohen L, Le Bihan D, Dehaene S. Topographical layout of hand, eye, calculation and language-related areas in the human parietal lobe. Neuron 2002, 33:475-487. 10.1016/S0896-6273(02)00575-5, 11832233.
53. Dehaene S, Cohen L. Cerebral pathways for calculation: double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex 1997, 33:219-250. 10.1016/S0010-9452(08)70002-9, 9220256.
54. Goebel SM, Walsh V, Rushworth MFS. The mental number line and the human angular gyrus. Neuroimage 2001, 14:1278-1289. 10.1006/nimg.2001.0927, 11707084.
55. Goebel SM, Walsh V, Rushworth MFS. rTMS disrupts the representation of small numbers in supramarginal gyrus. Neuroimage 2001, 13:409.
56. Shah NJ, Marshall JC, Zafiris O, Schwab A, Zilles K, Markowitsch HJ, Fink GR. The neural correlates of person familiarity. A functional magnetic resonance imaging study with clinical implications. Brain 2001, 124:804-815. 10.1093/brain/124.4.804, 11287379.
57. Cappelletti M, Muggleton N, Walsh V. Quantity without numbers and numbers without quantity in the parietal cortex. Neuroimage 2009, 46:522-529. 10.1016/j.neuroimage.2009.02.016, 2683244,2683244, 19236924.