Publications, Presentations, and etc.
Page last updated June 12, 2019.
You can find my academic work under various names, all constrained permutations of Caro, Caroline, Williams, and Williams-Pierce.
Download my CV (last updated June 12, 2019)
Download my masters thesis.
Download my dissertation.
Pier, E., Walkington, C., Clinton, V., Boncoddo, R., Alibali, M., Williams-Pierce, C.C.,Alibali, M., & Nathan, M. (2019). Embodied truths: How dynamic gestures and transformational speech contribute to mathematical proof practices. Contemporary Educational Psychology, 58, 44-57.
Walkington, C., Cooper, J., Leonard, O., Williams-Pierce, C., & Kalish, C. (2018). Middle school students' and mathematicians' judgments of mathematical typicality. Journal of Numerical Cognition(Special issue on Psychology and mathematics education: Bridging approaches to research for understanding the learning and teaching of number), 4(1), 243-270.
Williams-Pierce, C., Pier, E., Walkington, C., Clinton, V., Boncoddo, R. Nathan, M., & Alibali, M. (2017). What we say and how we do: Action, gesture, and language in proving. Journal for Research in Mathematics Education, 48(3), 248-260.
Williams-Pierce, C.& Swartz, T. (2016).Learning by design: Teacher Pioneers. On the Horizon (Special issue on New forms in education), 24(3), 268-279.
Ellis, A.B., Ozgur, Z., Kulow, T., Williams, C., & Amidon, J. (2015). Quantifying exponential growth: Three conceptual shifts in coordinating multiplicative and additive growth. The Journal of Mathematical Behavior, 39, 135-155. http://www.sciencedirect.com/science/article/pii/S0732312315000450
Nathan, M., Walkington, C., Boncoddo, R., Pier, E., Williams, C., & Alibali, M. (2014). Actions speak louder with words: The roles of action and pedagogical language for grounding mathematical reasoning. Learning and Instruction, 33, 182-193. http://www.sciencedirect.com/science/article/pii/S0959475214000450
Nathan, M.J., Srisurichan, R., Walkington, C., Wolfgram, M., Williams, C., & Alibali, M. (2013). Building cohesion across representations: A mechanism for STEM integration. Journal of Engineering Education (Special issue on representations in engineering education), 77-116.
Download the article here
Williams, C.C. (2011). Little Big Planet and Metal Gear Solid 4: Being Old Sack Snake. Well Played, 1(1).
Williams, K., & Williams, C. (2011). Five key ingredients for improving motivation. Research in Higher Education Journal, 11.
Download the article here
Steinkuehler, C., & Williams, C. (2009). Math as narrative in WoW forum discussions. International Journal of Learning and Media, 1(3).
You can see what remains of this online article on IJLM's website, although it’s kinda broken…. You can also download this AERA paper instead!
Halverson, R., Wolfenstein, M., Williams, C., & Rockman, C. (2009). Remembering math: The design of digital learning objects to spark professional learning. E-Learning, 6(1), 97-118.
Download this article here
Hyde, J. S., Lindberg, S. M., Linn, M. C., Ellis, A., & Williams, C. (2008). Gender similarities characterize math performance. Science, 321, 494-5.