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Papers, Reports & Publications

Cooper, J., Walkington, C., Williams, C., Akinsiku, O., Kalish, C., Ellis, A., & Knuth, E. (July, 2011). Adolescent reasoning in mathematics: Exploring middle school students’ strategic approaches in empirical justifications. In L. Carlson, C. Hölscher, & T. Shipley (Eds.), Proceedings of the Thirty-third Annual Conference of the Cognitive Science Society, 2188–2193.

Williams, C., Akinsiku, O., Walkington, C., Cooper, J., Ellis, A., Kalish, C., & Knuth, E. (October, 2011). Understanding students’ similarity and typicality judgments in and out of mathematics. Proceedings of the Thirty-second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, pp. 1180–1189.

Ellis, A., Kalish, C., Knuth, E., & WIlliams, C. (April, 2009). Understanding the connections between students' ways of reasoning in an out of mathematics. Paper presented at the AERA Annual Meeting.

Poster - University of Wisconsin Cognitive Science Conference (2008)

Knuth, E., Kalish, C., Ellis, A., Williams, C., & Felton, M. (2011). Adolescent reasoning in mathematical and non-mathematical domains: Exploring the paradox. In V. Reyna, S. Chapman, M. Dougherty, & J. Confrey (Eds.), The adolescent brain: Learning, reasoning, and decision making (pp. 183-209). Washington, DC: American Psychological Association.

Walkington, C., Cooper, J., Kalish, C., & Akinsiku, O. (2012). How students reason differently in everyday and mathematical contexts: Typicality and example choice in justification. To appear in the Proceedings of the Thirty-fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Lockwood, E., Ellis, A., Dogan, M., Williams, C., & Knuth, E. (2012). A framework for mathematicans' example-related activity when exploring and proving mathematical conjectures. To appear in the Proceedings of the Thirty-fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Ellis, A., Lockwood, E., Williams, C., Dogan, M., & Knuth, E. (2012). Middle school students’ example use in conjecture exploration and justification. To appear in the Proceedings of the Thirty-fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.