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 Education48(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.  

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.

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.   

  • Download this article here

  • Download the supplemental materials here