An EEG Case Study of Arithmetical Reasoning by Four Individuals Varying in Imagery and Mathematical Ability: Implications for Mathematics Education

Autor: Rousell, Mark, Catherwood, Di, Edgar, Graham
Jazyk: angličtina
Rok vydání: 2012
Předmět:
DOI: 10.5281/zenodo.1076662
Popis: The main issue of interest here is whether individuals who differ in arithmetical reasoning ability and levels of imagery ability display different brain activity during the conduct of mental arithmetical reasoning tasks. This was a case study of four participants who represented four extreme combinations of Maths –Imagery abilities: ie., low-low, high-high, high-low, low-high respectively. As the Ps performed a series of 60 arithmetical reasoning tasks, 128-channel EEG recordings were taken and the pre-response interval subsequently analysed using EGI GeosourceTM software. The P who was high in both imagery and maths ability showed peak activity prior to response in BA7 (superior parietal cortex) but other Ps did not show peak activity in this region. The results are considered in terms of the diverse routes that may be employed by individuals during the conduct of arithmetical reasoning tasks and the possible implications of this for mathematics education.
{"references":["P. Arnoux, & A. Finkel, Using mental imagery processes for teaching\nand research in mathematics and computer science. International Journal of Mathematical Education In Science & Technology, 41, 2229-242, 2010.","Gelman, R. (2006). Young Natural-Number Arithmeticians. Current\nDirections In Psychological Science (Wiley-Blackwell), 15(4), 193-197.","L. S. Fuchs, D. Fuch., K. Stuebing, J. M. Fletcher, C. L. Hamlett,, &\nW. Lamber. Problem solving and computational skill: Are they shared or\ndistinct aspects of mathematical cognition? Journal of Educational\nPsychology, 100(1), 30-47, 2008.","Khan, F. (1999). The social context of learning mathematics: Stepping\nbeyond the cognitive framework. Mind, Culture, And Activity, 6(4), 304-\n313.","Libertus, M. E., & Brannon, E. M. (2010). Stable individual differences\nin number discrimination in infancy. Developmental Science, 13(6),\n900-906.","M. Arsalidou, & M. J Taylor. Is 2+2=4? Meta-analyses of brain areas\nneeded for numbers and calculations. Neuroimage, 54, 2383-2393, 2011.","A. Theodoropoulou, S. Tei, D. Lehmann, P. L. Faber, F. Schlegel, & P.\nMilz. EEG frequency band SLORETA sources during mental arithmetic\ncompared to resting. European Psychiatry, 26, Supplement 1, p. 945,\n2011.","Marks, D. F. (1973). Visual imagery differences in the recall of pictures.\nBritish Journal of Psychology, 64, 17-24.","Marks, D. F. (1995). New directions for mental imagery research.\nJournal of Mental Imagery, 19, 153-167\n[10] X. Cui., C. B. Jeter., D. Yang, P.R. Montague, & D. M. Eagleman,\nVividness of mental imagery: Individual variability can be measured\nobjectively. Vision Research, 47, 474-478, 2007.\n[11] Huang, M. E. (2000). Vivid Visualization in the Experience of Phobia in\nVirtual Environments: Preliminary Results. Cyberpsychology &\nBehavior, 3, 315-32\n[12] McKelvie, S. J., & Demers, E. G. (1979). Individual differences in\nreported visual imagery and memory performance. British Journal Of\nPsychology, 70, 51-57.\n[13] Varga S., K. (2009). Visual imaginative synchrony. Contemporary\nHypnosis, 26, 146-158.\n[14] Pascual-Marqui, R. D. (2002). Standardised low resolution\nelectromagnetic tomography (sLORETA): technical details. Methods\nand Findings in Experimental & Clinical Pharmacology, 24, 5-12.\n[15] S. Ocklenburg, O. G├╝nt├╝rk├╝n, C. Best. Hemispheric symmetries and\ncognitive flexibility: an ERP and SLORETA study. Brain and Cognition,\n78, 148-155, 2012.\n[16] P. Luu, D. M. Tucker, & R. Stripling. Neural mechanisms for learning\nactions in context. Brain Research, 1179, 89-105, 2007.\n[17] Venkatraman, V., Ansari, D., & Chee, M. L. (2005). Neural correlates of\nsymbolic and non-symbolic arithmetic. Neuropsychologia, 43, 744-753.\n[18] S. Dehaene, & L. Cohen. Towards an anatomical and functional model\nof number processing. Mathematical Cognition, 1(1), 83-120, 1995.\n[19] Menon, V., Riveria, S. M., White, C. D., Glover, G. H., & Reiss, A. L.\n(2000).Dissociating prefrontal and parietal cortex activation during\narithmetic processing. Neuroimage, 12, 357-365\n[20] Pesenti, M. (2000). Neuroanatomical Substrates of Arabic Number\nProcessing, Numerical Comparison, and Simple Addition: A PET Study.\nJournal of Cognitive Neuroscience, 12, 461-479."]}
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