Publications and Media

presentations

Washington, J., Darwin, T., Beauchamp, T., & Walkington, C. (June, 2024). A Qualitative Comparison of Mathematics Teachers’ and Students’ Experiences in a Virtual Reality Algebra Application. [Paper presentation]. Presented at The 2024 Annual Meeting of the International Society of the Learning Sciences. Buffalo, NY.
Walkington, C., Nathan, M.J., Washington, J., Hunnicutt, J., Daughrity, L., Darwin, T., & Leano, J. (April, 2024). Comparing Learning Geometry using an iPad to Augmented Reality Holograms: How and When Dimensionality Matters. Presented at the 2024 Annual Meeting of the American Educational Research Association. Philadelphia, PA.
Nathan, M.J., Walkington, C., Swart, M. (April, 2024). Extended Reality (XR) Poses Challenges and Opportunities for Cultivating Geometry Reasoning. Presented at the 2024 Annual Meeting of the American Educational Research Association. Philadelphia, PA.
Washington, J., Darwin, T., & Walkington, C. (April, 2024). Using Virtual and Augmented Reality Goggles in Mathematics Teacher Education to Explore Algebraic Relationships. [Paper presentation]. Presented at the 2024 Annual Meeting of the American Educational Research Association. Philadelphia, PA.
Washington, J., Darwin, T., & Walkington, C. (February, 2024). Using Augmented and Virtual Reality Goggles in Geometry Teacher Education to Explore Geometric Relationships. [Paper presentation]. Presenting at the 2024 Annual Meeting of the Association of Mathematics Teacher Educators, Orlando, FL, United States.
Zhou, M., &Walkington, C. (September, 2023). Flatland XR by GeoGebra. Educational Games Expo, Washington D.C., U.S. Department of Education. https://youtu.be/Jhod7l7xZaw
Walkington, C. (September, 2023). Language in mathematics education: Contextual and perceptual grounding. Institute of Educational Sciences Math Summit. National Center for Education Statistics (NCES), Institute for Education Sciences, US Department of Education.
Washington, J., Hunnicutt, J., Darwin, T., Milton, S., Walkington, C., & Nathan, M.J. (April, 2023). Perspective-Taking, Scale, and Dynamicity in Augmented Reality for Learning Geometry. [Poster presentation]. Presented at the 2023 Annual Meeting of the American Educational Research Association. Chicago, IL.
Washington, J., Walkington, C., & Hunnicutt, J. (June, 2022). Flatland XR: An Embodied Geometry Game Using Shared Holographic AR. [Poster presentation]. Presented at the 2022 Games+Learning+Society (GLS) Conference, Irvine, CA. https://docs.google.com/document/d/1TfbUFBIEjDQlxH1QXlKufjP6wcsUE1s7/edit?usp=sharing&ouid=106717092905426975001&rtpof=true&sd=true,https://drive.google.com/file/d/17O041-m3ULJeU4vGywXuNBeF8-xUEejP/view?usp=sharing
Walkington, C. (May, 2022). Groups That Move Together, Prove Together: Collaborative Gestures and Actions in Mixed Reality Math Environments. Presented at the 2022 Annual Meeting of the American Psychological Society, Chicago, IL. https://drive.google.com/file/d/1iV1VzpqSq1ulyEO8UtbWrRPafloXEFeP/view?usp=sharing
Walkington, C., Nathan, M.J., & Huang, W. (April, 2022). Transforming Teachers’ Understanding of the Possibilities for Geometry Instruction Through Virtual Reality. Presented at the 2022 Annual Meeting of the Educational Research Association, San Diego, CA. https://drive.google.com/file/d/1v7YWy0whEHyV6V6SGBSx-J8c56t8s-kk/view?usp=sharing , https://drive.google.com/file/d/1D4V-ZFE6c3qMQW4rmNkmxc7X8yr0uxIg/view?usp=sharing
Walkington, C. (September 2021). Using Mixed Reality Environments to Support Mathematical Reasoning through Embodiment and Collaboration. The Reality of Virtual Reality in Learning and Instruction Webinar Series. Video: https://video.ruc.dk/media/t/0_g46fkrrk?ed=3286

Walkington, C. (September, 2021). Using Extended Reality Environments to Support Mathematical Reasoning through Embodiment and Collaboration. Presentation at the Embodied Mathematical Imagination and Cognition: Professional Development for Undergraduate Mathematics Instructors Conference. National Science Foundation. https://www.embodiedmathematics.com/emic-virtual

https://youtu.be/ttFTz3TEHAs

Walkington, C. (July 2021). Distributed cognition and embodied learning. Presentation at DG11: How Do Movements of Bodies and Artifacts Emerge in Mathematics Education? 14thInternational Congress on Mathematical Education. Shanghai, China. https://www.icme14.org/ueditor/jsp/upload/file/20210703/1625314214125029553.pdf

publications

Walkington, C., Nathan, M.J., Washington, J., Hunnicutt, J., Darwin, T., Daughrity, L., & Schenck, K. (under review). Comparing Learning Geometry using a Tablet to Head-Mounted Display Augmented Reality: How and When Dimensionality Matters. Computers & Education.
Washington, J. & Walkington, C. (accepted). Equitable Mathematics Instruction and Learning Geometry through Gestures. Journal of Mathematics Education.
Washington, J., & Walkington, C. (accepted) Mathematical reasoning and gestures in geometry with Augmented Reality. Paper submitted to the 2024 Annual Conference of the Psychology of Mathematics Education - North America.
Hunnicutt, J., Washington, J., & Walkington, C. (accepted) High school students learning dynamic geometry on an iPad versus in Augmented Reality. Paper submitted to the 2024 Annual Conference of the Psychology of Mathematics Education - North America.
Washington, J., Darwin, T., & Walkington, C. (accepted). Using Augmented and Virtual Reality Goggles in Geometry Teacher Education to Explore Geometric Relationships. In A. Brown, P. Herbst, N. Miller, & L. Pzydrowski (Eds.) The GeT Course: Resources and Objectives for the Geometry Courses for Teachers. MAA Notes Series.

Walkington, C., Nathan, M.J., Hunnicutt, J., Washington, J., & Zhou, M. (2024). New kinds of embodied interactions that arise in Augmented Reality Dynamic Geometry Software. Journal of Mathematical Behavior.
Washington, J., Darwin, T., Beauchamp, T., & Walkington, C. (2024). A Qualitative Comparison of Mathematics Teachers’ and Students’ Experiences in a Virtual Reality Algebra Application. Paper accepted to The 2024 Annual Meeting of the International Society of the Learning Sciences.
Schenck, K., Kim, D., Xia, F., Swart, M., Walkington, C., & Nathan, M.J. (2024). Exploring an Interactive Technology for Supporting Embodied Geometric Reasoning. Paper accepted to The 2024 Annual Meeting of the International Society of the Learning Sciences.
Nathan, M. J. (2024). Advancements of grounded and embodied mathematical reasoning: Theory, technology, and research methods. In L. Shapiro & S. Spaulding (Eds.), Routledge Handbook of Embodied Cognition, Second Edition. New York: Routledge.
Walkington, C., Nathan, M.J., Huang, W., Hunnicutt, J., & Washington, J. (2023). Multimodal Analysis of Interaction Data from Embodied Education Technologies. Educational Technology Research & Development, 1-20.
Huang, W., Walkington, C., & Nathan, M.J. (2023). Coordinating Modalities of Mathematical Collaboration in Shared VR Environments. International Journal of Computer-Supported Collaborative Learning, 18, 163-201.
Walkington, C., Nathan, M.J., Hunnicutt, J., Washington, J., & Holcomb-Webb, K. (2022). Learning Geometry Through Collaborative, Embodied Explorations with Augmented Reality Holograms. In Chinn, C., Tan, E., Chan, C., & Kali, Y. (Eds.) Proceedings of the 16th International Conference of the Learning Sciences – ICLS 2022 (pp. 1992-1993). Hiroshima, Japan: International Society of the Learning Sciences. https://drive.google.com/file/d/1d5rLHTteSsvXD6WJVBcxoI8g76wLP08M/view?usp=sharing
Walkington, C., Gravell, J., & Huang, W. (2021). Using Virtual Reality During Remote Learning to Change the Way Teachers Think About Geometry, Collaboration, and Technology. Contemporary Issues in Technology and Teacher Education, 21(4). https://citejournal.org/volume-21/issue-4-21/general/using-virtual-reality-during-remote-learning-to-change-the-way-teachers-think-about-geometry-collaboration-and-technology

Walkington, C., Gravell, J., Velazquez, J., He, T., Hickey, G., Nathan, M.J., & Cuevas, A. (2021). Collaborative virtual learning in the shAR Geometry Simulation Environment. In Wichmann, A. Hoppe, H. U. & Rummel, N. (Eds.) General Proceedings of the 1st Annual Meeting of the International Society of the Learning Sciences (pp. 17-20). Bochum, Germany: International Society of the Learning Sciences. https://eric.ed.gov/?id=ED611110

Walkington, C. (2020). Intrinsic Integration in Learning Games and Virtual Instruction. Educational Technology Research and Development. https://doi.org/10.1007/s11423-020-09886-y.

media

Chronicle of Higher Education (2023). ChatGPT and Other Cutting-Edge Learning Tech. Webinar. https://www.chronicle.com/events/virtual/chatgpt-and-other-cutting-edge-learning-tech.
- - Watch it here (start at 27:35): https://chronicle.zoom.us/rec/play/aK7_Tgv6axUtdcX8KgIHIKwgm-ojRecE6JtvcK5CgJHIF9zTzsPJJmHzu8sjrJvfmxnsOa3-uQPUewvc.xztMwejJ3o3nO8Ay
Walkington, C. (2022). Collaborative Gestures in Embodied Math Learning Games. The Brains Blog. https://philosophyofbrains.com/2022/08/30/collaborative-gestures-in-embodied-math-learning-games.aspx
Walkington, C. (2021). The way Texas teaches math just doesn’t add up. Austin American-Statesman. https://www.statesman.com/story/opinion/columns/your-voice/2021/07/20/way-texas-teaches-math-just-doesnt-add-up/7991390002/

UW School of Education (2020). Virtual reality offers new avenues for remote collaborative learning and teaching. https://education.wisc.edu/news/virtual-reality-offers-new-avenues-for-remote-collaborative-learning-and-teaching/

The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through Grant R305A200401 to Southern Methodist University. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.