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Published in: Behavioral and Brain Functions 1/2010

Open Access 01-12-2010 | Research

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

Authors: Elise Klein, Klaus Willmes, Katharina Dressel, Frank Domahs, Guilherme Wood, Hans-Christoph Nuerk, Korbinian Moeller

Published in: Behavioral and Brain Functions | Issue 1/2010

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Abstract

Background

Recently it was suggested that the carry effect observed in addition involves both categorical and continuous processing characteristics.

Methods

In the present study, we aimed at identifying the specific neural correlates associated with processing either categorical or continuous aspects of the carry effect in an fMRI study on multi-digit addition.

Results

In line with our expectations, we observed two distinct parts of the fronto-parietal network subserving numerical cognition to be associated with either one of these two characteristics. On the one hand, the categorical aspect of the carry effect was associated with left-hemispheric language areas and the basal ganglia probably reflecting increased demands on procedural and problem solving processes. Complementarily, the continuous aspect of the carry effect was associated with increased intraparietal activation indicating increasing demands on magnitude processing as well as place-value integration with increasing unit sum.

Conclusions

In summary, the findings suggest representations and processes underlying the carry effect in multi-digit addition to be more complex and interactive than assumed previously.
Appendix
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Literature
1.
go back to reference 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. 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.
go back to reference Fürst AJ, Hitch GJ: Separate roles for executive and phonological components of working memory in mental arithmetic. Mem Cognit. 2000, 28: 774-782.CrossRefPubMed Fürst AJ, Hitch GJ: Separate roles for executive and phonological components of working memory in mental arithmetic. Mem Cognit. 2000, 28: 774-782.CrossRefPubMed
3.
go back to reference 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. 10.1080/17470210600762447.CrossRef 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. 10.1080/17470210600762447.CrossRef
4.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
5.
go back to reference 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. 10.1016/j.bandc.2008.08.031.CrossRef 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. 10.1016/j.bandc.2008.08.031.CrossRef
6.
go back to reference 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. 10.1016/j.cogbrainres.2004.09.011.CrossRef 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. 10.1016/j.cogbrainres.2004.09.011.CrossRef
7.
go back to reference Ashcraft MH, Stazyk EH: Mental addition: A test of three verification models. Mem Cognit. 1981, 9: 185-196.CrossRefPubMed Ashcraft MH, Stazyk EH: Mental addition: A test of three verification models. Mem Cognit. 1981, 9: 185-196.CrossRefPubMed
8.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
9.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
10.
go back to reference Seitz K, Schumann-Hengsteler R: Phonological loop and central executive processes in mental addition and multiplication. Psychologische Beitraege. 2002, 44 (2): 275-302. Seitz K, Schumann-Hengsteler R: Phonological loop and central executive processes in mental addition and multiplication. Psychologische Beitraege. 2002, 44 (2): 275-302.
11.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
12.
go back to reference 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. 10.1016/S0926-6410(00)00010-0.CrossRef 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. 10.1016/S0926-6410(00)00010-0.CrossRef
13.
go back to reference Miller EK: The prefrontal cortex and cognitive control. Nat Rev Neurosci. 2000, 1: 58-65. Miller EK: The prefrontal cortex and cognitive control. Nat Rev Neurosci. 2000, 1: 58-65.
14.
go back to reference 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.PubMedCentralCrossRefPubMed 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.PubMedCentralCrossRefPubMed
15.
go back to reference Nuerk H-C, Willmes K: On the magnitude representations of two-digit numbers. Psychol Sci. 2005, 47: 52-72. Nuerk H-C, Willmes K: On the magnitude representations of two-digit numbers. Psychol Sci. 2005, 47: 52-72.
16.
go back to reference Dehaene S, Piazza M, Pinel P, Cohen L: Three parietal circuits for number processing. Cogn Neuropsychol. 2003, 20: 487-506. 10.1080/02643290244000239.CrossRefPubMed Dehaene S, Piazza M, Pinel P, Cohen L: Three parietal circuits for number processing. Cogn Neuropsychol. 2003, 20: 487-506. 10.1080/02643290244000239.CrossRefPubMed
17.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
18.
go back to reference Wood G, Nuerk H-C, Willmes K: Neural representations of two-digit numbers: A parametric fMRI study. Neuroimage. 2006, 46: 358-367. 10.1016/j.neuroimage.2005.07.056.CrossRef Wood G, Nuerk H-C, Willmes K: Neural representations of two-digit numbers: A parametric fMRI study. Neuroimage. 2006, 46: 358-367. 10.1016/j.neuroimage.2005.07.056.CrossRef
19.
go back to reference 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.CrossRef 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.CrossRef
20.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
21.
go back to reference 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. 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.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
23.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
27.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
29.
go back to reference Moeller K, Klein E, Nuerk H-C: (No) small adults - Children's processing of carry addition problems. Dev Neuropsychol. Moeller K, Klein E, Nuerk H-C: (No) small adults - Children's processing of carry addition problems. Dev Neuropsychol.
30.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
31.
go back to reference Dehaene S: Origins of Mathematical Intuitions. Ann N Y Acad Sci. 2009, 1156: 232-259. 10.1111/j.1749-6632.2009.04469.x.CrossRefPubMed Dehaene S: Origins of Mathematical Intuitions. Ann N Y Acad Sci. 2009, 1156: 232-259. 10.1111/j.1749-6632.2009.04469.x.CrossRefPubMed
32.
go back to reference 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.PubMedCentralCrossRefPubMed 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.PubMedCentralCrossRefPubMed
33.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
34.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
35.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
36.
go back to reference Dehaene S, Cohen L: Towards an anatomical and functional model of number processing. Math Cogn. 1995, 1: 83-120. Dehaene S, Cohen L: Towards an anatomical and functional model of number processing. Math Cogn. 1995, 1: 83-120.
37.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
38.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
39.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
40.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
41.
go back to reference 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. 10.1002/hbm.460010407.CrossRefPubMed 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. 10.1002/hbm.460010407.CrossRefPubMed
42.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
43.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
44.
go back to reference Verguts T, De Moor W: Two-digit comparison decomposed, holistic or hybrid?. Exp Psychol. 2005, 52: 195-200.CrossRefPubMed Verguts T, De Moor W: Two-digit comparison decomposed, holistic or hybrid?. Exp Psychol. 2005, 52: 195-200.CrossRefPubMed
45.
go back to reference 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.PubMedCentralCrossRefPubMed 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.PubMedCentralCrossRefPubMed
46.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
47.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
48.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
49.
go back to reference 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. 10.1016/j.cogbrainres.2003.09.005.CrossRef 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. 10.1016/j.cogbrainres.2003.09.005.CrossRef
50.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
51.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
52.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
53.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
54.
go back to reference 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.CrossRef 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.CrossRef
55.
go back to reference Goebel SM, Walsh V, Rushworth MFS: rTMS disrupts the representation of small numbers in supramarginal gyrus. Neuroimage. 2001, 13: 409-10.1016/S1053-8119(01)91472-7.CrossRef Goebel SM, Walsh V, Rushworth MFS: rTMS disrupts the representation of small numbers in supramarginal gyrus. Neuroimage. 2001, 13: 409-10.1016/S1053-8119(01)91472-7.CrossRef
56.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
57.
go back to reference 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.PubMedCentralCrossRefPubMed 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.PubMedCentralCrossRefPubMed
Metadata
Title
Categorical and continuous - disentangling the neural correlates of the carry effect in multi-digit addition
Authors
Elise Klein
Klaus Willmes
Katharina Dressel
Frank Domahs
Guilherme Wood
Hans-Christoph Nuerk
Korbinian Moeller
Publication date
01-12-2010
Publisher
BioMed Central
Published in
Behavioral and Brain Functions / Issue 1/2010
Electronic ISSN: 1744-9081
DOI
https://doi.org/10.1186/1744-9081-6-70

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