Publications in Cognitive Arithmetic

Pyke, A., Betts, S., Fincham, J. M., & Anderson, J. R. (2014). Visuospatial referents facilitate the learning and transfer of mathematical operations: Extending the role of the angular gyrus. Cognitive, Affective, & Behavioral Neuroscience, 1-22.

Lende, L. K. & Taatgen, N. (2012). Modeling representation shifts in learning the number line. In N. Rußwinkel, U. Drewitz & H. van Rijn (eds.), Proceedings of the 11th International Conference on Cognitive Modeling, Berlin: Universitaetsverlag der TU Berlin.

Schneider, D. W., & Anderson, J. R. (2010). Asymmetric switch costs as sequential difficulty effects. Quarterly Journal of Experimental Psychology, 63, 1873–1894.

Rosenberg-Lee, M., Lovett, M., & Anderson, J. R. (2009). Neural correlates of arithmetic calculation strategies. Cognitive, Affective, & Behavioral Neuroscience, 9(3), 270-285.

Brunstein, A., Betts, S. A., & Anderson, J. R. (2009). Practice enables successful learning under minimal guidance. Journal of Educational Psychology, 101(4), 790-802.

Ravizza, S. M., Anderson, J. R., & Carter, C. S. (2008). Errors of mathematical processing: The relationship of accuracy to neural regions associated with retrieval or representation of the problem state. Brain Research, 1238, 118-126.

Ritter, F. E., Schoelles, M., Klein, L. C., & Kase, S. E. (2007). Modeling the range of performance on the serial subtraction task. In Proceedings of the 8th International Conference on Cognitive Modeling. Lewis, R. L., Polk, T. A., Laird, J. L., (eds.). 299-304. Oxford, UK: Taylor & Francis/Psychology Press.

Danker, J. F. & Anderson, J. R. (2007). Using cognitive modeling to understand the roles of prefrontal and posterior parietal cortex in algebra problem solving. In Proceedings of the Society for Cognitive Neuroscience. New York, New York.

Gunzelmann, G., Gluck, K. A., Kershner, J., Van Dongen, H. P. A., & Dinges, D. F. (2007). Understanding decrements in knowledge access resulting from increased fatigue. In The 29th Annual Conference of the Cognitive Science Society. Nashville, Tennessee, USA.

Ritter, F. E., Reifers, A., Klein, L. C., Quigley, K., & Schoelles, M. (2004). Using cognitive modeling to study behavior moderations: Pre-task appraisal and anxiety. In Proceedings of the Human factors and Ergonomics Society (pp. 2121-2125). Santa Monica, CA: Human Factor and Ergonomics Society.

Terao, A., Koedinger K., Sohn, M-H., Anderson, J. R., & Carter, C. S. (2004). An fMRI study of the interplay of visual-spatial systems in mathematical reasoning. In Proceedings of the 26th Annual Conference of the Cognitive Science Society (pp. 1327-1332). August 4-7, Chicago, USA.

Lebiere, C. (1999). The dynamics of cognition: An ACT-R model of cognitive arithmetic. Kognitionswissenschaft., 8 (1), pp. 5-19.

Lebiere, C. (1998). The dynamics of cognition: An ACT-R model of cognitive arithmetic. Ph.D. Dissertation. CMU Computer Science Dept Technical Report CMU-CS-98-186. Pittsburgh, PA. Available at http://reports-archive.adm.cs.cmu.edu/.

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Department of Psychology, Carnegie Mellon University