How should educational neuroscience conceptualise the relation between cognition and brain function? Mathematical reasoning as a network process

Educational Research

Volumn 50, Issue 2, 2008, Pages 149-161

  Varma, Sashank ^a   Schwartz, Daniel L ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Arithmetic; Dyscalculia; Educational neuroscience; Large scale cortical networks; Magnitude comparison; Mathematics education

Indexed keywords

EID: 45849135635     PISSN: 00131881     EISSN: 14695847     Source Type: Journal    
DOI: 10.1080/00131880802082633     Document Type: Review

References (42)

1. Ansari, D., and D. Coch. 2006. Bridges over troubled waters: Education and cognitive neuroscience. Trends in Cognitive Sciences 10: 146-51.
2. Ansari, D., N. Garcia, E. Lucas, K. Hamon, and B. Dhital. 2005. Neural correlates of symbolic number processing in children and adults. NeuroReport 16: 1769-73.
3. Ashcraft, M.H. 1992. Cognitive arithmetic: A review of data and theory. Cognition 44: 75-106.
4. Baroody, A.J. 1985. Mastery of basic number combinations: Internalization of relationships of facts? Journal for Research in Mathematics Education 16: 83-98.
5. Blakemore, S.-J., and U. Frith. 2005. The learning brain: Lessons for education. Oxford: Blackwell.
6. Bruer, J.T. 1997. Education and the brain: A bridge too far. Educational Researcher 26: 4-16.
7. Büchel, C., J.T. Coull, and K.J. Friston. 1999. The predictive value of changes in effective connectivity for human learning. Science 283: 1538-41.
8. Butterworth, B. 2005. Developmental dyscalculia. In Handbook of mathematical psychology, ed. J.I.D. Campbell, 455-67. Hove: Psychology Press.
9. Byrnes, J.P., and N.A. Fox. 1998. The educational relevance of research in cognitive neuroscience. Educational Psychology Review 10: 297-342.
10. Case, R., Y. Okamoto, S. Griffin, A. McKeough, C. Bleiker, B. Henderson, K.M. Stephenson, R.S. Siegler, and D.P. Keating. 1997. The role of central conceptual structures in the development of children's thought. Monographs of the Society for Research in Child Development 61: 1-295.
11. Chochon, F., L. Cohen, P.F. Van de Moortele, and S. Dehaene. 1999. Differential contributions of the left and right inferior parietal lobules to number processing. Journal of Cognitive Neuroscience 11: 617-30.
12. Dehaene, S. 1997. The number sense. New York: Oxford University Press.
13. Dehaene, S., M. Piazza, P. Pinel, and L. Cohen. 2003. Three parietal circuits for number processing. Cognitive Neuropsychology 20: 487-506.
14. Delazer, M., F. Domahs, L. Bartha, C. Brenneis, A. Lochy, T. Trieb, and T. Benke. 2003. Learning complex arithmetic - an fMRI study. Cognitive Brain Research 18: 76-88.
15. Delazer, M., A. Ischebeck, F. Domahs, L. Zamarian, F. Koppelstaetter, C.M. Siedentopf, L. Kaufmann, T. Benke, and S. Felber. 2005. Learning by strategies and learning by drill - evidence from an fMRI study. NeuroImage 25: 838-49.
16. Duffau, H., D. Denvil, M. Lopes, F. Gasparini, L. Cohen, L. Capelle, and R. Van Effenterre. 2002. Intraoperative mapping of the cortical areas involved in multiplication and subtraction: An electrostimulation study in a patient with a left parietal glioma. Journal of Neurology, Neurosurgery, and Psychiatry 73: 733-8.
17. Eden, G.F., K.M. Jones, K. Cappell, L. Gareau, F.B. Wood, T.A. Zeffiro, N.A.F. Dietz, J.A. Agnew, and D.L. Flowers. 2004. Neural changes following remediation in adult developmental dyslexia. Neuron 44: 411-22.
18. Friston, K.J. 1994. Functional and effective connectivity in neuroimaging: A synthesis. Human Brain Mapping 2: 56-78.
19. Geake, J. 2004. Cognitive neuroscience and education: Two-way traffic or one-way street? Westminster Studies in Education 27: 87-98.
20. Goswami, U. 2006. Neuroscience and education: From research to practice. Nature Reviews Neuroscience 7: 406-13.
21. Huettel, S.A., A.W. Song, and G. McCarthy. 2004. Functional magnetic resonance imaging. Sunderland, MA: Sinauer.
22. Ishai, A., L.G. Ungerleider, A. Martin, J.L. Schouten, and J.V. Haxby. 1999. Distributed representation of objects in the human ventral visual pathway. Proceedings of the National Academy of Science USA 96: 9379-84.
23. Johnson, M.H., H. Halit, S.J. Grice, and A. Karmiloff-Smith. 2002. Neuroimaging of typical and atypical development: A perspective from multiple levels of analysis. Development and Psychopathology 14: 521-36.
24. Kanwisher, N., J. McDermott, and M.M. Chun. 1997. The fusiform face area: A module in human extrastriate cortex specialized for face perception. Journal of Neuroscience 17: 4302-11.
25. Kosslyn, S.M., and O. Koenig. 1992. Wet mind: The new cognitive neuroscience. New York: The Free Press.
26. Kucian, K., T. Loenneker, T. Dietrich, M. Dosch, E. Martin, and M. Von Aster. 2006. Impaired neural networks for approximate calculation in dyscalculic children: A functional MRI study. Behavioral and Brain Functions 2: 1-17.
27. Laird, A.R., J.L. Lancaster, and P.T. Fox. 2005. BrainMap: The social evolution of a functional neuroimaging database. Neuroinformatics 3: 65-78.
28. Landerl, K., A. Bevan, and B. Butterworth. 2004. Developmental dyscalculia and basic numerical capacities: A study of 8-9-year-old students. Cognition 93: 99-125.
29. Le Bihan, D., J.-F. Mangin, C. Poupon, C.A. Clark, S. Pappata, N. Molko, and H. Chabriat. 2001. Diffusion tenor imaging:Concepts and applications. Journal ofMagnetic Resonance Imaging 13: 534-46.
30. Lee, K.-M. 2000. Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia. Annals of Neurology 48: 657-61.
31. Luria, A.R. 1966. Higher cortical functions in man. London: Tavistock.
32. Mesulam, M.-M. 1990. Large-scale neurocognitive networks and distributed processing for attention, language and memory. Annals of Neurology 28: 597-613.
33. Molko, N., A. Cachia, D. Rivière, J.-F. Mangin, M. Bruandet, D. Le Bihan, L. Cohen, and S. Dehaene. 2003. Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin. Neuron 40: 847-58.
34. Moyer, R.S., and T.K. Landauer. 1967. Time required for judgments of numerical inequality. Nature 215: 1519-20.
35. Niogi, S.N., and B.D. McCandliss. 2006. Left lateralized white matter microstructure accounts for individual differences in reading ability and disability. Neuropsychologia 44: 2178-88.
36. Pinel, P., M. Piazza, D. Le Bihan, and S. Dehaene. 2004. Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron 41: 983-93.
37. Poldrack, R.A. 2000. Imaging brain plasticity: Conceptual and methodological issues - a theoretical review. NeuroImage 12: 1-13.
38. Rivera, S.M., A.L. Reiss, M.A. Eckert, and V. Menon. 2005. Developmental changes in mental arithmetic: Evidence for increased specialization in the left inferior parietal cortex. Cerebral Cortex 15: 1779-90.
39. Sekuler, R., and D. Mierkiewicz. 1977. Children's judgments of numerical inequality. Child Development 48: 630-3.
40. Stanescu-Cosson, R., P. Pinel, P.-F. Van de Moortele, D. Le Bihan, L. Cohen, and S. Dehaene. 2000. Understanding dissociations in dyscalculia: A brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. Brain 123: 2240-55.
41. Tang, Y., W. Zhang, K. Chen, S. Feng, Y. Ji, J. Shen, E.M. Reiman, and Y. Liu. 2006. Arithmetic processing in the brain shaped by cultures. Proceedings of the National Academy of Science USA 103: 10775-80.
42. Varma, S., B.D. McCandliss, and D.L. Schwartz. In press. Scientific and pragmatic challenges for bridging education and neuroscience. Educational Researcher.