Behavioral and Brain Functions | |
Individual differences in solving arithmetic word problems | |
Sabrina Zarnhofer3  Verena Braunstein3  Franz Ebner1  Karl Koschutnig1  Christa Neuper2  Manuel Ninaus3  Gernot Reishofer1  Anja Ischebeck3  | |
[1] Department of Radiology, Medical University of Graz, Auenbruggerplatz 9, 8036, Graz, Austria | |
[2] Department of Knowledge Discovery, University of Technology of Graz, Krenngasse 37/ IV, 8010, Graz, Austria | |
[3] Cognitive Psychology and Neuroscience, Department of Psychology, University of Graz, Universitaetsplatz 2 / III, 8010, Graz, Austria | |
关键词: Angular gyrus; Visual cortex; Number processing; Cognitive styles; fMRI; | |
Others : 793371 DOI : 10.1186/1744-9081-9-28 |
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received in 2013-01-17, accepted in 2013-07-19, 发布年份 2013 | |
【 摘 要 】
Background
With the present functional magnetic resonance imaging (fMRI) study at 3 T, we investigated the neural correlates of visualization and verbalization during arithmetic word problem solving. In the domain of arithmetic, visualization might mean to visualize numbers and (intermediate) results while calculating, and verbalization might mean that numbers and (intermediate) results are verbally repeated during calculation. If the brain areas involved in number processing are domain-specific as assumed, that is, that the left angular gyrus (AG) shows an affinity to the verbal domain, and that the left and right intraparietal sulcus (IPS) shows an affinity to the visual domain, the activation of these areas should show a dependency on an individual’s cognitive style.
Methods
36 healthy young adults participated in the fMRI study. The participants habitual use of visualization and verbalization during solving arithmetic word problems was assessed with a short self-report assessment. During the fMRI measurement, arithmetic word problems that had to be solved by the participants were presented in an event-related design.
Results
We found that visualizers showed greater brain activation in brain areas involved in visual processing, and that verbalizers showed greater brain activation within the left angular gyrus.
Conclusions
Our results indicate that cognitive styles or preferences play an important role in understanding brain activation. Our results confirm, that strong visualizers use mental imagery more strongly than weak visualizers during calculation. Moreover, our results suggest that the left AG shows a specific affinity to the verbal domain and subserves number processing in a modality-specific way.
【 授权许可】
2013 Zarnhofer et al.; licensee BioMed Central Ltd.
【 预 览 】
Files | Size | Format | View |
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20140705050859871.pdf | 843KB | download | |
Figure 3. | 72KB | Image | download |
Figure 2. | 76KB | Image | download |
Figure 1. | 51KB | Image | download |
【 图 表 】
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【 参考文献 】
- [1]McGuire PK, Silbersweig DA, Wright I, Murray RM, David AS, Frackowiak RS, Frith CD: Abnormal monitoring of inner speech: A physiological basis for auditory hallucinations. Lancet 1995, 346:596-600.
- [2]O’Craven KM, Kanwisher N: Mental imagery of faces and places activates corresponding stimulus-specific brain regions. J Cognitive Neurosci 2000, 12:1013-1023.
- [3]Kosslyn SM, Pascual-Leone A, Felician O, Camposano S, Keenan JP, Thompson WL, Ganis G, Sukel KE, Alpert NM: The role of area 17 in visual imagery: Convergent evidence from PET and rTMS. Science 1999, 284:167-170.
- [4]Paivio A: Imagery and verbal processes. New York: Holt, Rinehart and Winston; 1971.
- [5]Riding RJ, Cheema I: Cognitive styles -- an overview and integration. EducPsychol 1991, 11:193-215.
- [6]Richardson A: Verbalizer-visualizer, a cognitive style dimension. JMI 1977, 10:38-42.
- [7]Blazhenkova O, Kozhevnikov M: The new object-spatial-verbal cognitive style model: theory and measurement. ApplCognitPsychol 2009, 23:638-663.
- [8]Dehaene S, Piazza M, Pinel P, Cohen L: Three parietal circuits for number processing. Cognitive Neuropsychol 2003, 20:487-506.
- [9]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]Grefkes C, Fink GR: The functional organization of the intraparietal sulcus in humans and monkeys. J Anat 2005, 207:3-17.
- [11]Materna S, Dicke PW, Their P: Dissociable Roles of the superior temporal sulcus and the intraparietal sulcus in joint attention: A functional magnetic resonance imaging study. J Cognitive Neurosci 2008, 20:108-119.
- [12]Siegel M, Donner TH, Oostenveld R, Fries P, Engel AK: Neural synchronization along the dorsal visual pathway reflects the focus of spatial attention. Neuron 2008, 60:709-719.
- [13]Harrison A, Jolicoeur P, Marois R: “What” and “where” in the intraparietal sulcus: An fMRI study of object identity and location in visual short-term memory. Cereb Cortex 2010, 20:2478-2485.
- [14]Todd JJ, Marois R: Capacity limit of visual short-term memory in human posterior parietal cortex. Nature 2004, 428:751-754.
- [15]Gallistel CR, Gelman R: Preverbal and verbal counting and computation. Cognition 1992, 44:43-74.
- [16]McCloskey M: Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition 1992, 44:107-157.
- [17]Cohen L, Dehaene S: Number processing in pure alexia: the effect of hemispheric asymmetries and task demands. Neurocase 1995, 1:121-137.
- [18]Cohen L, Dehaene S: Cerebral networks for number processing: Evidence from a case of posterior callosal lesion. Neurocase 1996, 2:155-174.
- [19]Dehaene S: Varieties of numerical abilities. Cognition 1992, 44:1-42.
- [20]Dehaene S, Cohen L: Towards an anatomical and functional model of number processing. Math Cognition 1995, 1:82-120.
- [21]Dehaene S, Cohen L: Cerebral pathways for calculation: double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex 1997, 33:219-250.
- [22]Noel M, Seron X: Arabic number reading deficit: A single case study or when 236 is read (2306) and judged superior to 1258. Cognitive Neuropsych 1993, 10:317-339.
- [23]Campbell JID: Architectures for numerical cognition. Cognition 1994, 53:1-44.
- [24]Campbell JID, Clark JM: An encoding-complex view of cognitive number processing: Comment on McCloskey, Sokol& Goodman (1986). J ExpPsychol Gen 1988, 117:204-214.
- [25]Arsalidou M, Taylor MJ: Is 2 + 2 = 4? Meta-analyses of brain areas needed for numbers and calculations. NeuroImage 2011, 54:2382-2393.
- [26]Burbaud P, Camus O, Guehl D, Bioulac B, Caille J-M, Allard M: Influence of cognitive strategies on the pattern of cortical activation during mental subtraction. A functional magnetic resonance study of mental subtraction in human participants. NeurosciLett 1999, 273:195-199.
- [27]Zarnhofer S, Braunstein V, Ebner F, Koschutnig K, Neuper C, Reishofer G, Ischebeck A: The influence of verbalization on the pattern of cortical activation during mental arithmetic. Behav Brain Funct 2012, 8:13. BioMed Central Full Text
- [28]Lowrie T, Kay R: Relationship between visual and nonvisual solution methods and difficulty in elementary mathematics. J Educ Res 2001, 94:248-255.
- [29]Hegarty M, Kozhevnikov M: Types of visual-spatial representation and mathematical problem solving. J EducPsychol 1999, 91:684-689.
- [30]van Garderen D: Spatial visualization, visual imagery, and mathematical problem solving of students with varying abilities. J LearnDisabil 2006, 39:496-506.
- [31]Liepmann D, Beauducel A, Brocke B, Amthauer R: Intelligenz-Struktur-Test 2000 R, erweiterte Auflage. Göttingen: Hogrefe; 2007.
- [32]De Brauwer J, Verguts T, Fias W: The representation of multiplication facts: developmental changes in the problem size, five and tie effects. J Exp Child Psychol 2006, 94:43-56.
- [33]Bishop YMM, Fienberg SE, Holland PW: Discrete multivariate analysis. Theory and practice. Cambridge: MIT Press; 1975.
- [34]Cortina JM: What is coefficient alpha? An examination of theory and applications. J ApplPsychol 1993, 78:98-104.
- [35]Peterson RA: A meta-analysis of Cronbach’s coefficient alpha. J Consum Res 1994, 21:381-391.
- [36]Le Bihan D, Turner R, Zeffiro TA, Cuenod CA, Jezzard P, Bonnerot V: Activation of human primary visual cortex during visual recall: A magnetic resonance imaging study. PNAS 1993, 90:11802-11805.
- [37]Somers DC, Dale AM, Seifert AE, Tootell RBH: Functional MRI reveals spatially specific attentional modulation in human primary visual cortex. PNAS 1999, 96:1663-1668.
- [38]Ungerleider LG, Mishkin M: Two cortical visual systems. In Analysis of visual behaviour. Edited by Ingle DJ, Goodale MA, Mansfield RJW. Cambridge: MIT Press; 1982:549-586.
- [39]Kanwisher N, Woods RP, Iacoboni M, Mazziotta JC: A locus in human extrastriate cortex for visual shape analysis. J CognNeurosci 1997, 9:133-142.
- [40]Shen L, Hu X, Yacoub E, Ugurbil K: Neural correlates of visual form and visual spatial processing. Hum Brain Mapp 1999, 8:60-71.
- [41]Dolan RJ, Fink GR, Rolls ET, Booth M, Holmes A, Frackowiak RSJ, Friston KJ: How the brain learns to see objects and faces in an impoverished context. Nature 1997, 389:596-599.
- [42]Haxby JV, Grady CL, Horwitz B, Ungerleider LG, Mishkin M, Carson RE, Herscovitch P, Shapiro MB, Rapoport SI: Dissociation of object and spatial visual processing pathways in human extrastriate cortex. PNAS 1991, 88:1621-1625.
- [43]Fink GR, Marshall JC, Weiss PH, Shah NJ, Toni I, Halligan PW, Zilles K: ‘Where’ depends on ‘what’: A differential functional anatomy for position discrimination in one- versus two-dimensions. Neuropsychology 2000, 38:1741-1748.
- [44]Hsu NS, Kraemer DJM, Oliver RT, Schlichting ML, Thompson-Schill SL: Color, context, and cognitive style: Variations in color knowledge retrieval as a function of task and subject variables. J Cognitive Neurosci 2011, X:1-14.
- [45]Vanni S, Tanskanen T, Seppa M, Uutela K, Hari R: Coinciding early activation of the human primary visual cortex and anteromedialcuneus. PNAS 2001, 98:2776-2780.
- [46]George N, Dolan RJ, Fink GR, Baylis GC, Russell C, Driver J: Contrast polarity and face recognition in the human fusiform gyrus. Nat Neurosci 1999, 2:574-580.
- [47]Kanwisher N, McDermott J, Chun MM: The Fusiform Face Area: A Module in Human Extrastriate Cortex Specialized for Face Perception. J Neurosci 1997, 17:4302-4311.
- [48]Puce A, Gore JC, Allison T: Face-Specific Processing in the Human Fusiform Gyrus. J Cognitive Neurosci 1997, 9:605-610.
- [49]Wojciulik E, Kanwisher N, Driver J: Covert visual attention modulates face-specific activity in the human fusiform gyrus: an fMRI study. J Neurophysiol 1998, 79:1574-1578.
- [50]Martin A: The Representation of Object Concepts in the Brain. Annu Rev Psychol 2007, 58:25-45.
- [51]Motes MA, Malach R, Kozehevnikov M: Object-processing neural efficiency differentiates object from spatial visualizers. Neuroreport 2008, 19:1727-1731.
- [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.
- [53]Knops A, Thirion B, Hubbard EM, Michel V, Dehaene S: Recruitment of an Area Involved in Eye Movements During Mental Arithmetic. Science 2009, 324:1583-1585.
- [54]Grabner RH, Ansara D, Koschutnig K, Reishofer G, Ebner F, Neuper C: To retrieve or to calculate? Left angular gyrus mediates the retrieval of arithmetic facts during problem solving. Neuropsychologia 2009, 47:604-608.
- [55]Kraemer DJM, Rosenberg LM, Thompson-Schill SL: The neural correlates of visual and verbal cognitive styles. J Neurosci 2009, 29:3792-3798.
- [56]Fischer MH: A hierarchical view of grounded, embodied, and situated numerical cognition. Cogn Process 2012, 13:161-164.
- [57]Wood G, Nuerk HC, Willmes K, Fischer MH: On the link between space and number: a meta-analysis of the SNARC effect. Psychology Science Quarterly 2008, 50:489-525.
- [58]Koten JW, Lonnemann J, Willmes K, Knops A: Micro and macro pattern analyses of fMRI data support both early and late interaction of numerical and spatial information. Front Hum Neurosci 2011, 5:115.
- [59]Tschentscher N, Hauk O, Fischer MH, Pulvermüller F: You can count on the motor cortex: fingercounting habits modulate motor cortex activation evoked by numbers. NeuroImage 2011, 59:3139-3148.
- [60]Brett M, Leff AP, Rorden C, Ashburner J: Spatial normalization of brain images with focal lesions using cost function masking. NeuroImage 2001, 14:486-500.
- [61]Talairach J, Tournoux P: Co-planar stereotaxic atlas of the human brain. New York: Thieme; 1988.