Skip to main content
Top
Published in: Behavioral and Brain Functions 1/2006

Open Access 01-12-2006 | Research

Impaired neural networks for approximate calculation in dyscalculic children: a functional MRI study

Authors: Karin Kucian, Thomas Loenneker, Thomas Dietrich, Mengia Dosch, Ernst Martin, Michael von Aster

Published in: Behavioral and Brain Functions | Issue 1/2006

Login to get access

Abstract

Background

Developmental dyscalculia (DD) is a specific learning disability affecting the acquisition of mathematical skills in children with otherwise normal general intelligence. The goal of the present study was to examine cerebral mechanisms underlying DD.

Methods

Eighteen children with DD aged 11.2 ± 1.3 years and twenty age-matched typically achieving schoolchildren were investigated using functional magnetic resonance imaging (fMRI) during trials testing approximate and exact mathematical calculation, as well as magnitude comparison.

Results

Children with DD showed greater inter-individual variability and had weaker activation in almost the entire neuronal network for approximate calculation including the intraparietal sulcus, and the middle and inferior frontal gyrus of both hemispheres. In particular, the left intraparietal sulcus, the left inferior frontal gyrus and the right middle frontal gyrus seem to play crucial roles in correct approximate calculation, since brain activation correlated with accuracy rate in these regions. In contrast, no differences between groups could be found for exact calculation and magnitude comparison. In general, fMRI revealed similar parietal and prefrontal activation patterns in DD children compared to controls for all conditions.

Conclusion

In conclusion, there is evidence for a deficient recruitment of neural resources in children with DD when processing analog magnitudes of numbers.
Appendix
Available only for authorised users
Literature
1.
go back to reference Butterworth B: The development of arithmetical abilities. J Child Psychol Psychiatry. 2005, 46: 3-18. 10.1111/j.1469-7610.2004.00374.x.CrossRefPubMed Butterworth B: The development of arithmetical abilities. J Child Psychol Psychiatry. 2005, 46: 3-18. 10.1111/j.1469-7610.2004.00374.x.CrossRefPubMed
2.
go back to reference Kaufmann L, Lochy A, Drexler A, Semenza C: Deficient arithmetic fact retrieval-storage or access problem? A case study. Neuropsychologia. 2004, 42: 482-496. 10.1016/j.neuropsychologia.2003.09.004.CrossRefPubMed Kaufmann L, Lochy A, Drexler A, Semenza C: Deficient arithmetic fact retrieval-storage or access problem? A case study. Neuropsychologia. 2004, 42: 482-496. 10.1016/j.neuropsychologia.2003.09.004.CrossRefPubMed
3.
go back to reference Temple CM: Procedural dyscalculia and number fact dyscalculia: Double dissociation in developmental dyscalculia. Cogn Neuropsychol. 1991, 8: 155-176.CrossRef Temple CM: Procedural dyscalculia and number fact dyscalculia: Double dissociation in developmental dyscalculia. Cogn Neuropsychol. 1991, 8: 155-176.CrossRef
4.
go back to reference Landerl K, Bevan A, Butterworth B: Developmental dyscalculia and basic numerical capacities: a study of 8-9-year-old students. Cognition. 2004, 93: 99-125. 10.1016/j.cognition.2003.11.004.CrossRefPubMed Landerl K, Bevan A, Butterworth B: Developmental dyscalculia and basic numerical capacities: a study of 8-9-year-old students. Cognition. 2004, 93: 99-125. 10.1016/j.cognition.2003.11.004.CrossRefPubMed
5.
go back to reference WHO: ICD-10. International Statistical Classification of Diseases and Related Health Problems 10th Revision; Chapter V: Mental and behavioral disorders (F81.2). 2005, Geneva, World Health Organization WHO: ICD-10. International Statistical Classification of Diseases and Related Health Problems 10th Revision; Chapter V: Mental and behavioral disorders (F81.2). 2005, Geneva, World Health Organization
6.
go back to reference Shalev RS, Auerbach J, Manor O, Gross-Tsur V: Developmental dyscalculia: prevalence and prognosis. Eur Child Adolesc Psychiatry. 2000, 9 Suppl 2: II58-64. 10.1007/s007870070009.CrossRefPubMed Shalev RS, Auerbach J, Manor O, Gross-Tsur V: Developmental dyscalculia: prevalence and prognosis. Eur Child Adolesc Psychiatry. 2000, 9 Suppl 2: II58-64. 10.1007/s007870070009.CrossRefPubMed
7.
go back to reference Lewis C, Hitch GJ, Walker P: The prevalence of specific arithmetic difficulties and specific reading difficulties in 9- to 10-year-old boys and girls. J Child Psychol Psychiatry. 1994, 35: 283-292.CrossRefPubMed Lewis C, Hitch GJ, Walker P: The prevalence of specific arithmetic difficulties and specific reading difficulties in 9- to 10-year-old boys and girls. J Child Psychol Psychiatry. 1994, 35: 283-292.CrossRefPubMed
8.
go back to reference Shalev RS, Manor O, Gross-Tsur V: Developmental dyscalculia: a prospective six-year follow-up. Dev Med Child Neurol. 2005, 47: 121-125. 10.1017/S0012162205000216.CrossRefPubMed Shalev RS, Manor O, Gross-Tsur V: Developmental dyscalculia: a prospective six-year follow-up. Dev Med Child Neurol. 2005, 47: 121-125. 10.1017/S0012162205000216.CrossRefPubMed
9.
go back to reference Ardila A, Rosselli M: Acalculia and dyscalculia. Neuropsychol Rev. 2002, 12: 179-231. 10.1023/A:1021343508573.CrossRefPubMed Ardila A, Rosselli M: Acalculia and dyscalculia. Neuropsychol Rev. 2002, 12: 179-231. 10.1023/A:1021343508573.CrossRefPubMed
10.
go back to reference Monuteaux MC, Faraone SV, Herzig K, Navsaria N, Biederman J: ADHD and dyscalculia: Evidence for independent familial transmission. J Learn Disabil. 2005, 38: 86-93.CrossRefPubMed Monuteaux MC, Faraone SV, Herzig K, Navsaria N, Biederman J: ADHD and dyscalculia: Evidence for independent familial transmission. J Learn Disabil. 2005, 38: 86-93.CrossRefPubMed
11.
go back to reference Reiss AL, Eliez S, Schmitt JE, Patwardhan A, Haberecht M: Brain imaging in neurogenetic conditions: realizing the potential of behavioral neurogenetics research. Ment Retard Dev Disabil Res Rev. 2000, 6: 186-197. 10.1002/1098-2779(2000)6:3<186::AID-MRDD6>3.0.CO;2-9.CrossRefPubMed Reiss AL, Eliez S, Schmitt JE, Patwardhan A, Haberecht M: Brain imaging in neurogenetic conditions: realizing the potential of behavioral neurogenetics research. Ment Retard Dev Disabil Res Rev. 2000, 6: 186-197. 10.1002/1098-2779(2000)6:3<186::AID-MRDD6>3.0.CO;2-9.CrossRefPubMed
12.
go back to reference Rosenberg PB: Perceptual-motor and attentional correlates of developmental dyscalculia. Ann Neurol. 1989, 26: 216-220. 10.1002/ana.410260206.CrossRefPubMed Rosenberg PB: Perceptual-motor and attentional correlates of developmental dyscalculia. Ann Neurol. 1989, 26: 216-220. 10.1002/ana.410260206.CrossRefPubMed
13.
go back to reference Shalev RS: Developmental dyscalculia. J Child Neurol. 2004, 19: 765-771.PubMed Shalev RS: Developmental dyscalculia. J Child Neurol. 2004, 19: 765-771.PubMed
14.
go back to reference Alarcon M, DeFries JC, Light JG, Pennington BF: A twin study of mathematics disability. J Learn Disabil. 1997, 30: 617-623.CrossRefPubMed Alarcon M, DeFries JC, Light JG, Pennington BF: A twin study of mathematics disability. J Learn Disabil. 1997, 30: 617-623.CrossRefPubMed
15.
go back to reference Schweiter M, Weinhold Zulauf M, von Aster MG: Die Entwicklung räumlicher Zahlenrepräsentationen und Rechenfertigkeiten bei Kindern. Zeitschrift für Neuropsychologie. 2005, 16: 105-113. 10.1024/1016-264X.16.2.105.CrossRef Schweiter M, Weinhold Zulauf M, von Aster MG: Die Entwicklung räumlicher Zahlenrepräsentationen und Rechenfertigkeiten bei Kindern. Zeitschrift für Neuropsychologie. 2005, 16: 105-113. 10.1024/1016-264X.16.2.105.CrossRef
16.
go back to reference Dellatolas G, von Aster MG, Willadino-Braga L, Meier M, Deloche G: Number processing and mental calculation in school children aged 7 to 10 years: a transcultural comparison. Eur child Adolesc Psychiatry. 2000, 9: 102-110. 10.1007/s007870070003.CrossRef Dellatolas G, von Aster MG, Willadino-Braga L, Meier M, Deloche G: Number processing and mental calculation in school children aged 7 to 10 years: a transcultural comparison. Eur child Adolesc Psychiatry. 2000, 9: 102-110. 10.1007/s007870070003.CrossRef
17.
go back to reference Shalev RS, Gross-Tsur V: Developmental dyscalculia. Pediatr Neurol. 2001, 24: 337-342. 10.1016/S0887-8994(00)00258-7.CrossRefPubMed Shalev RS, Gross-Tsur V: Developmental dyscalculia. Pediatr Neurol. 2001, 24: 337-342. 10.1016/S0887-8994(00)00258-7.CrossRefPubMed
18.
go back to reference Shalev RS, Manor O, Kerem B, Ayali M, Badichi N, Friedlander Y, Gross-Tsur V: Developmental dyscalculia is a familial learning disability. J Learn Disabil. 2001, 34: 59-65.CrossRefPubMed Shalev RS, Manor O, Kerem B, Ayali M, Badichi N, Friedlander Y, Gross-Tsur V: Developmental dyscalculia is a familial learning disability. J Learn Disabil. 2001, 34: 59-65.CrossRefPubMed
19.
go back to reference Burbaud P, Degreze P, Lafon P, Franconi JM, Bouligand B, Bioulac B, Caille JM, Allard M: Lateralization of prefrontal activation during internal mental calculation: a functional magnetic resonance imaging study. J Neurophysiol. 1995, 74: 2194-2200.PubMed Burbaud P, Degreze P, Lafon P, Franconi JM, Bouligand B, Bioulac B, Caille JM, Allard M: Lateralization of prefrontal activation during internal mental calculation: a functional magnetic resonance imaging study. J Neurophysiol. 1995, 74: 2194-2200.PubMed
20.
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
21.
go back to reference Menon V, Rivera SM, White CD, Glover GH, Reiss AL: Dissociating prefrontal and parietal cortex activation during arithmetic processing. NeuroImage. 2000, 12: 357-365. 10.1006/nimg.2000.0613.CrossRefPubMed Menon V, Rivera SM, White CD, Glover GH, Reiss AL: Dissociating prefrontal and parietal cortex activation during arithmetic processing. NeuroImage. 2000, 12: 357-365. 10.1006/nimg.2000.0613.CrossRefPubMed
22.
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: 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: 461-479. 10.1162/089892900562273.CrossRefPubMed
23.
go back to reference Rickard TC, Romero SG, Basso G, Wharton C, Flitman S, Grafman J: The calculating brain: an fMRI study. Neuropsychologia. 2000, 38: 325-335. 10.1016/S0028-3932(99)00068-8.CrossRefPubMed Rickard TC, Romero SG, Basso G, Wharton C, Flitman S, Grafman J: The calculating brain: an fMRI study. Neuropsychologia. 2000, 38: 325-335. 10.1016/S0028-3932(99)00068-8.CrossRefPubMed
24.
go back to reference Schmithorst VJ, Brown RD: Empirical validation of the triple-code model of numerical processing for complex math operations using functional MRI and group Independent Component Analysis of the mental addition and subtraction of fractions. NeuroImage. 2004, 22: 1414-1420. 10.1016/j.neuroimage.2004.03.021.CrossRefPubMed Schmithorst VJ, Brown RD: Empirical validation of the triple-code model of numerical processing for complex math operations using functional MRI and group Independent Component Analysis of the mental addition and subtraction of fractions. NeuroImage. 2004, 22: 1414-1420. 10.1016/j.neuroimage.2004.03.021.CrossRefPubMed
25.
go back to reference Dehaene S, Piazza M, Pinel P, Cohen JD: Three Parietal Circuits for Number Processing. Cogn Neuropsychol. 2003, 20: 487-506. 10.1080/02643290244000239.CrossRefPubMed Dehaene S, Piazza M, Pinel P, Cohen JD: Three Parietal Circuits for Number Processing. Cogn Neuropsychol. 2003, 20: 487-506. 10.1080/02643290244000239.CrossRefPubMed
26.
go back to reference Dehaene S: Varieties of numerical abilities. Cognition. 1992, 44: 1-42. 10.1016/0010-0277(92)90049-N.CrossRefPubMed Dehaene S: Varieties of numerical abilities. Cognition. 1992, 44: 1-42. 10.1016/0010-0277(92)90049-N.CrossRefPubMed
27.
go back to reference Dehaene S, Cohen JD: Towards an anatomical and functional model of number processing. Mathematical Cognition. 1995, 1: 83-120. Dehaene S, Cohen JD: Towards an anatomical and functional model of number processing. Mathematical Cognition. 1995, 1: 83-120.
28.
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 ( Pt 11): 2240-2255. 10.1093/brain/123.11.2240.CrossRef 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 ( Pt 11): 2240-2255. 10.1093/brain/123.11.2240.CrossRef
29.
go back to reference Lemer C, Dehaene S, Spelke E, Cohen L: Approximate quantities and exact number words: dissociable systems. Neuropsychologia. 2003, 41: 1942-1958. 10.1016/S0028-3932(03)00123-4.CrossRefPubMed Lemer C, Dehaene S, Spelke E, Cohen L: Approximate quantities and exact number words: dissociable systems. Neuropsychologia. 2003, 41: 1942-1958. 10.1016/S0028-3932(03)00123-4.CrossRefPubMed
30.
go back to reference Takayama Y, Sugishita M, Akiguchi I, Kimura J: Isolated acalculia due to left parietal lesion. Arch Neurol. 1994, 51: 286-291.CrossRefPubMed Takayama Y, Sugishita M, Akiguchi I, Kimura J: Isolated acalculia due to left parietal lesion. Arch Neurol. 1994, 51: 286-291.CrossRefPubMed
31.
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.CrossRefPubMed Dehaene S, Cohen L: Cerebral pathways for calculation: double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex. 1997, 33: 219-250.CrossRefPubMed
32.
go back to reference Cohen L, Dehaene S, Chochon F, Lehéricy S, Naccache L: Language and calculation within the parietal lobe: a combined cognitive, anatomical and fMRI study. Neuropsychologia. 2000, 38: 1426-1440. 10.1016/S0028-3932(00)00038-5.CrossRefPubMed Cohen L, Dehaene S, Chochon F, Lehéricy S, Naccache L: Language and calculation within the parietal lobe: a combined cognitive, anatomical and fMRI study. Neuropsychologia. 2000, 38: 1426-1440. 10.1016/S0028-3932(00)00038-5.CrossRefPubMed
33.
go back to reference Venkatraman V, Ansari D, Chee MW: Neural correlates of symbolic and non-symbolic arithmetic. Neuropsychologia. 2005, 43: 744-753. 10.1016/j.neuropsychologia.2004.08.005.CrossRefPubMed Venkatraman V, Ansari D, Chee MW: Neural correlates of symbolic and non-symbolic arithmetic. Neuropsychologia. 2005, 43: 744-753. 10.1016/j.neuropsychologia.2004.08.005.CrossRefPubMed
34.
go back to reference Molko N, Cachia A, Riviere D, Mangin JF, Bruandet M, Le Bihan D, Cohen L, Dehaene S: Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin. Neuron. 2003, 40: 847-858. 10.1016/S0896-6273(03)00670-6.CrossRefPubMed Molko N, Cachia A, Riviere D, Mangin JF, Bruandet M, Le Bihan D, Cohen L, Dehaene S: Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin. Neuron. 2003, 40: 847-858. 10.1016/S0896-6273(03)00670-6.CrossRefPubMed
35.
go back to reference van Harskamp NJ, Rudge P, Cipolotti L: Are multiplication facts implemented by the left supramarginal and angular gyri?. Neuropsychologia. 2002, 40: 1786-1793. 10.1016/S0028-3932(02)00036-2.CrossRefPubMed van Harskamp NJ, Rudge P, Cipolotti L: Are multiplication facts implemented by the left supramarginal and angular gyri?. Neuropsychologia. 2002, 40: 1786-1793. 10.1016/S0028-3932(02)00036-2.CrossRefPubMed
36.
go back to reference Rivera SM, Menon V, White CD, Glaser B, Reiss AL: Functional brain activation during arithmetic processing in females with fragile X Syndrome is related to FMR1 protein expression. Hum Brain Mapp. 2002, 16: 206-218. 10.1002/hbm.10048.CrossRefPubMed Rivera SM, Menon V, White CD, Glaser B, Reiss AL: Functional brain activation during arithmetic processing in females with fragile X Syndrome is related to FMR1 protein expression. Hum Brain Mapp. 2002, 16: 206-218. 10.1002/hbm.10048.CrossRefPubMed
37.
go back to reference Levin HS, Scheller J, Rickard T, Grafman J, Martinkowski K, Winslow M, Mirvis S: Dyscalculia and dyslexia after right hemisphere injury in infancy. Arch Neurol. 1996, 53: 88-96.CrossRefPubMed Levin HS, Scheller J, Rickard T, Grafman J, Martinkowski K, Winslow M, Mirvis S: Dyscalculia and dyslexia after right hemisphere injury in infancy. Arch Neurol. 1996, 53: 88-96.CrossRefPubMed
38.
go back to reference Levy LM, Reis IL, Grafman J: Metabolic abnormalities detected by 1H-MRS in dyscalculia and dysgraphia. Neurology. 1999, 53: 639-641.CrossRefPubMed Levy LM, Reis IL, Grafman J: Metabolic abnormalities detected by 1H-MRS in dyscalculia and dysgraphia. Neurology. 1999, 53: 639-641.CrossRefPubMed
39.
go back to reference Molko N, Cachia A, Riviere D, Mangin JF, Bruandet M, LeBihan D, Cohen L, Dehaene S: Brain anatomy in Turner syndrome: evidence for impaired social and spatial-numerical networks. Cereb Cortex. 2004, 14: 840-850. 10.1093/cercor/bhh042.CrossRefPubMed Molko N, Cachia A, Riviere D, Mangin JF, Bruandet M, LeBihan D, Cohen L, Dehaene S: Brain anatomy in Turner syndrome: evidence for impaired social and spatial-numerical networks. Cereb Cortex. 2004, 14: 840-850. 10.1093/cercor/bhh042.CrossRefPubMed
40.
go back to reference Isaacs EB, Edmonds CJ, Lucas A, Gadian DG: Calculation difficulties in children of very low birthweight: a neural correlate. Brain. 2001, 124: 1701-1707. 10.1093/brain/124.9.1701.CrossRefPubMed Isaacs EB, Edmonds CJ, Lucas A, Gadian DG: Calculation difficulties in children of very low birthweight: a neural correlate. Brain. 2001, 124: 1701-1707. 10.1093/brain/124.9.1701.CrossRefPubMed
41.
go back to reference Kucian K, Loenneker T, Dietrich T, Martin E, von Aster MG: Development of Neural Networks for Number Processing: an fMRI Study in Children and Adults [abstract]. NeuroImage. 2005, 26: 46- Kucian K, Loenneker T, Dietrich T, Martin E, von Aster MG: Development of Neural Networks for Number Processing: an fMRI Study in Children and Adults [abstract]. NeuroImage. 2005, 26: 46-
42.
go back to reference WMA: The World Medical Association’s Declaration of Helsinki: Ethical Principles for Medical Research Involving Human Subjects. 2002, Washington, WMA General Assembly WMA: The World Medical Association’s Declaration of Helsinki: Ethical Principles for Medical Research Involving Human Subjects. 2002, Washington, WMA General Assembly
43.
go back to reference von Aster MG: ZAREKI (Neuropsychological Test Battery for Number Processing and Calculation in Children). 2001, Lisse, Frankfurt am Main, Swets & Zeitlinger von Aster MG: ZAREKI (Neuropsychological Test Battery for Number Processing and Calculation in Children). 2001, Lisse, Frankfurt am Main, Swets & Zeitlinger
44.
go back to reference Kaufman AS, Kaufman NL: Kaufman-assessment battery for children (K-ABC). Edited by: al. DFPM. 1994, Frankfurt a.M., Swets & Zeitlinger Kaufman AS, Kaufman NL: Kaufman-assessment battery for children (K-ABC). Edited by: al. DFPM. 1994, Frankfurt a.M., Swets & Zeitlinger
45.
go back to reference Wechsler D: Hamburg-Wechsler-Intelligenztest für Kinder III (HAWIK-III) / Übersetzung und Adaption der WISC-III von David Wechsler. Edited by: al. UT. 1999, Bern, Hans Huber Wechsler D: Hamburg-Wechsler-Intelligenztest für Kinder III (HAWIK-III) / Übersetzung und Adaption der WISC-III von David Wechsler. Edited by: al. UT. 1999, Bern, Hans Huber
46.
go back to reference Klassencockpit: MS_Deutsch_61, MS_Mathematik_61. 2004, Rorschach, Kantonaler Lehrmittelverlag St. Gallen Klassencockpit: MS_Deutsch_61, MS_Mathematik_61. 2004, Rorschach, Kantonaler Lehrmittelverlag St. Gallen
47.
go back to reference Marx H: Knuspels Leseaufgaben. Gruppenlesetest für Kinder Ende des ersten bis vierten Schuljahres. 1998, Göttingen, Hogrefe Marx H: Knuspels Leseaufgaben. Gruppenlesetest für Kinder Ende des ersten bis vierten Schuljahres. 1998, Göttingen, Hogrefe
48.
go back to reference Landerl K, Wimmer H, Moser E: Salzburger Lese- und Rechtschreibtest. Verfahren zur Differentialdiagnose von Störungen des Lesens und Schreibens für die 1. bis 4. Schulstufe. 1997, Bern, Huber Landerl K, Wimmer H, Moser E: Salzburger Lese- und Rechtschreibtest. Verfahren zur Differentialdiagnose von Störungen des Lesens und Schreibens für die 1. bis 4. Schulstufe. 1997, Bern, Huber
49.
go back to reference SPSS for Windows, Statistical Product and Service Solution. 2002, Chicago, USA, SPSS Inc., 11.5 SPSS for Windows, Statistical Product and Service Solution. 2002, Chicago, USA, SPSS Inc., 11.5
50.
go back to reference Genovese CR, Lazar NA, Nichols T: Thresholding of statistical maps in functional neuroimaging using the false discovery rate. NeuroImage. 2002, 15: 870-878. 10.1006/nimg.2001.1037.CrossRefPubMed Genovese CR, Lazar NA, Nichols T: Thresholding of statistical maps in functional neuroimaging using the false discovery rate. NeuroImage. 2002, 15: 870-878. 10.1006/nimg.2001.1037.CrossRefPubMed
51.
go back to reference Lancaster JL, Woldorff MG, Parsons LM, Liotti M, Freitas CS, Rainey L, Kochunov PV, Nickerson D, Mikiten SA, Fox PT: Automated Talairach atlas labels for functional brain mapping. Hum Brain Mapp. 2000, 10: 120-131. 10.1002/1097-0193(200007)10:3<120::AID-HBM30>3.0.CO;2-8.CrossRefPubMed Lancaster JL, Woldorff MG, Parsons LM, Liotti M, Freitas CS, Rainey L, Kochunov PV, Nickerson D, Mikiten SA, Fox PT: Automated Talairach atlas labels for functional brain mapping. Hum Brain Mapp. 2000, 10: 120-131. 10.1002/1097-0193(200007)10:3<120::AID-HBM30>3.0.CO;2-8.CrossRefPubMed
52.
go back to reference Talairach J, Tournoux P: Co-planar Stereotaxic Atlas of the Human Brain: 3-Dimensional Proportional System: An Approach to Cerebral Imaging. 1988, Stuttgart, Thieme Medical Publisher Talairach J, Tournoux P: Co-planar Stereotaxic Atlas of the Human Brain: 3-Dimensional Proportional System: An Approach to Cerebral Imaging. 1988, Stuttgart, Thieme Medical Publisher
53.
go back to reference Cohen J: Statistical Power Analysis for the Behavioral Sciences. 1988, Hillsdale, NJ, Lawrence Erlbaum, 2 Cohen J: Statistical Power Analysis for the Behavioral Sciences. 1988, Hillsdale, NJ, Lawrence Erlbaum, 2
54.
go back to reference D'Amico EJ, Neilands TB, Zambarano R: Power analysis for multivariate and repeated measures designs: a flexible approach using the SPSS MANOVA procedure. Behav Res Methods Instrum Comput. 2001, 33: 479-484.CrossRefPubMed D'Amico EJ, Neilands TB, Zambarano R: Power analysis for multivariate and repeated measures designs: a flexible approach using the SPSS MANOVA procedure. Behav Res Methods Instrum Comput. 2001, 33: 479-484.CrossRefPubMed
55.
go back to reference Kwon H, Menon V, Eliez S, Warsofsky IS, White CD, Dyer-Friedman J, Taylor AK, Glover GH, Reiss AL: Functional neuroanatomy of visuospatial working memory in fragile X syndrome: relation to behavioral and molecular measures. Am J Psychiatry. 2001, 158: 1040-1051. 10.1176/appi.ajp.158.7.1040.CrossRefPubMed Kwon H, Menon V, Eliez S, Warsofsky IS, White CD, Dyer-Friedman J, Taylor AK, Glover GH, Reiss AL: Functional neuroanatomy of visuospatial working memory in fragile X syndrome: relation to behavioral and molecular measures. Am J Psychiatry. 2001, 158: 1040-1051. 10.1176/appi.ajp.158.7.1040.CrossRefPubMed
56.
go back to reference Shalev RS, Manor O, Amir N, Wertman-Elad R, Gross-Tsur V: Developmental dyscalculia and brain laterality. Cortex. 1995, 31: 357-365.CrossRefPubMed Shalev RS, Manor O, Amir N, Wertman-Elad R, Gross-Tsur V: Developmental dyscalculia and brain laterality. Cortex. 1995, 31: 357-365.CrossRefPubMed
57.
go back to reference Berl MM, Vaidya CJ, Gaillard WD: Functional imaging of developmental and adaptive changes in neurocognition. NeuroImage. 2006, 30: 679-691. 10.1016/j.neuroimage.2005.10.007.CrossRefPubMed Berl MM, Vaidya CJ, Gaillard WD: Functional imaging of developmental and adaptive changes in neurocognition. NeuroImage. 2006, 30: 679-691. 10.1016/j.neuroimage.2005.10.007.CrossRefPubMed
58.
go back to reference Martins IP, Ferreira J, Borges L: Acquired procedural dyscalculia associated to a left parietal lesion in a child. Child Neuropsychol. 1999, 5: 265-273.CrossRefPubMed Martins IP, Ferreira J, Borges L: Acquired procedural dyscalculia associated to a left parietal lesion in a child. Child Neuropsychol. 1999, 5: 265-273.CrossRefPubMed
59.
go back to reference Dehaene S, Bossini S, Giraux P: The mental representation of parity and number magnitude. J Exp Psychol. 1993, 122: 371-396.CrossRef Dehaene S, Bossini S, Giraux P: The mental representation of parity and number magnitude. J Exp Psychol. 1993, 122: 371-396.CrossRef
60.
go back to reference Berch DB, Foley EJ, Hill RJ, McDonough Ryan P: Extracting Parity and Magnitude from Arabic Numerals: Developmental Changes in Number Processing and Mental Representation. J Exp Child Psychol. 1999, 74: 286-308. 10.1006/jecp.1999.2518.CrossRefPubMed Berch DB, Foley EJ, Hill RJ, McDonough Ryan P: Extracting Parity and Magnitude from Arabic Numerals: Developmental Changes in Number Processing and Mental Representation. J Exp Child Psychol. 1999, 74: 286-308. 10.1006/jecp.1999.2518.CrossRefPubMed
61.
go back to reference Bachot J, Gevers W, Fias W, Roeyers H: Number sense in children with visuospatial disabilities: orientation of the mental number line. Psychology Science. 2005, 47: 172-183. Bachot J, Gevers W, Fias W, Roeyers H: Number sense in children with visuospatial disabilities: orientation of the mental number line. Psychology Science. 2005, 47: 172-183.
62.
go back to reference Rubinsten O, Henik A: Automatic activation of internal magnitudes: a study of developmental dyscalculia. Neuropsychology. 2005, 19: 641-648. 10.1037/0894-4105.19.5.641.CrossRefPubMed Rubinsten O, Henik A: Automatic activation of internal magnitudes: a study of developmental dyscalculia. Neuropsychology. 2005, 19: 641-648. 10.1037/0894-4105.19.5.641.CrossRefPubMed
63.
go back to reference Koontz KL, Berch DB: Identifying Simple Numerical Stimuli: Processing Inefficiencies Exhibited by Arithmetic Learning Disabled Children. Mathematical Cognition. 1996, 2: 1-24. 10.1080/135467996387525.CrossRef Koontz KL, Berch DB: Identifying Simple Numerical Stimuli: Processing Inefficiencies Exhibited by Arithmetic Learning Disabled Children. Mathematical Cognition. 1996, 2: 1-24. 10.1080/135467996387525.CrossRef
64.
go back to reference Kawashima R, Taira M, Okita K, Inoue K, Tajima N, Yoshida H, Sasaki T, Sugiura M, Watanabe J, Fukuda H: A functional MRI study of simple arithmetic--a comparison between children and adults. Brain Res Cogn Brain Res. 2004, 18: 227-233. 10.1016/j.cogbrainres.2003.10.009.CrossRefPubMed Kawashima R, Taira M, Okita K, Inoue K, Tajima N, Yoshida H, Sasaki T, Sugiura M, Watanabe J, Fukuda H: A functional MRI study of simple arithmetic--a comparison between children and adults. Brain Res Cogn Brain Res. 2004, 18: 227-233. 10.1016/j.cogbrainres.2003.10.009.CrossRefPubMed
65.
go back to reference Rivera SM, Reiss AL, Eckert MA, Menon V: Developmental Changes in Mental Arithmetic: Evidence for Increased Functional Specialization in the Left Inferior Parietal Cortex. Cereb Cortex. 2005 Rivera SM, Reiss AL, Eckert MA, Menon V: Developmental Changes in Mental Arithmetic: Evidence for Increased Functional Specialization in the Left Inferior Parietal Cortex. Cereb Cortex. 2005
66.
go back to reference Burbaud P, Camus O, Guehl D, Bioulac B, Caille J, Allard M: Influence of cognitive strategies on the pattern of cortical activation during mental subtraction. A functional imaging study in human subjects. Neurosci Lett. 2000, 287: 76-80. 10.1016/S0304-3940(00)01099-5.CrossRefPubMed Burbaud P, Camus O, Guehl D, Bioulac B, Caille J, Allard M: Influence of cognitive strategies on the pattern of cortical activation during mental subtraction. A functional imaging study in human subjects. Neurosci Lett. 2000, 287: 76-80. 10.1016/S0304-3940(00)01099-5.CrossRefPubMed
67.
go back to reference Gura T: Educational research: big plans for little brains. Nature. 2005, 435: 1156-1158. 10.1038/4351156a.CrossRefPubMed Gura T: Educational research: big plans for little brains. Nature. 2005, 435: 1156-1158. 10.1038/4351156a.CrossRefPubMed
Metadata
Title
Impaired neural networks for approximate calculation in dyscalculic children: a functional MRI study
Authors
Karin Kucian
Thomas Loenneker
Thomas Dietrich
Mengia Dosch
Ernst Martin
Michael von Aster
Publication date
01-12-2006
Publisher
BioMed Central
Published in
Behavioral and Brain Functions / Issue 1/2006
Electronic ISSN: 1744-9081
DOI
https://doi.org/10.1186/1744-9081-2-31

Other articles of this Issue 1/2006

Behavioral and Brain Functions 1/2006 Go to the issue