Research

My research focuses on the teaching and learning of undergraduate mathematics. Much of my recent work has focused on the role of examples in conjecturing and proof. I am also interested in support structures in mathematics for first-year undergraduate students (as alternatives to developmental math) and creating equitable learning opportunities for all students at the undergraduate level.

Journal Articles

Refereed Conference Proceedings:

  • Lynch, A.G., & Pugh, R. (2018). Early Undergraduates’ Emerging Conceptions of Proof and Conviction. In Weinberg, A., Rasmussen, C., Rabin, J., Wawro, M., & Brown, S. (Eds.), Proceedings of the Twenty-first Annual Conference on Research in Undergraduate Mathematics Education. pp. 917-923. San Diego, CA.
  • Lockwood, E., Lynch, A. G., & Ellis, A. B. (2015). Exhaustive example generation: Mathematicians' uses of examples when developing conjectures. In Fukawa-Connelly, T., Infante, N. I., Keene, K., & Zandieh, M. (Eds.), Proceedings of the Eighteenth Annual Conference on Research in Undergraduate Mathematics Education. pp. 216-230. Pittsburgh, PA.
  • Lockwood, E., Lynch, A. G., Ellis, A. B., & Knuth, E. (2014). Mathematicians' Example-Related Activity in Formulating Conjectures. In Liljedahl, P., Oesterle, S., Nicol, C., & Allan, D. (Eds.), Proceedings of the Joint Meeting of PME 38 and PME-NA 36, Vol. 4, pp. 129-136. Vancouver, Canada: PME.

Selected Conference Presentations:

  • "Early Undergraduates’ Emerging Conceptions of Proof and Conviction"
    • Conference on Research in Undergraduate Mathematics Education, San Diego, CA, February 22, 2018
  • "Mathematicians' Uses of Examples When Developing Conjectures"
    • Conference on Research in Undergraduate Mathematics Education, Pittsburgh, PA, February 19, 2015
  • "Undergraduates' Example-Related Activity in Proving Conjectures"
    • Joint Mathematics Meetings, San Antonio, TX, January 10, 2015
  • "Mathematicians' Example-Related Activity in Formulating Conjectures"