Proof comprehension

research group

Upcoming events

2nd Northeast RUME Conference

The PCRG is organizing the 2nd Northeast Conference for Research in Undergraduate Mathematics Education. The conference will be held on October 6, 2018, in the New Brunswick campus of Rutgers University, NJ. Further details about registration and abstract submission can be found here.

Recently published papers


  • Lew, K., & Mejía-Ramos, J. P. (accepted). Linguistic conventions of mathematical proof writing at the undergraduate level: Mathematicians’ and students’ perspectives. Accepted for publication in Journal for Research in Mathematics Education.
  • Weber, K., Lew, K., & Mejía-Ramos, J. P. (accepted). Using expectancy value theory to account for students' mathematical justifications. Accepted for publication in Cognition and Instruction.


  • Fukawa-Connelly, T., Weber, K., & Mejía-Ramos, J. P. (2017). Informal content and student note-taking in advanced mathematics classes. Journal for Research in Mathematics Education, 48(5), 567-579. [preprint] [journal]
  • Stylianides, G., Stylianides, A. & Weber, K. (2017). Research on the teaching and learning of proof: Taking stock and moving forward. In J. Cai (Ed.) Compendium for Research in Mathematics Education (pp.237-266). National Council of Teachers of Mathematics: Reston, VA. [preprint]
  • Dawkins, P., & Weber, K. (2017). Values and norms of proof for mathematicians and students. Educational Studies in Mathematics, 95(2), 123-142. [journal]
  • Mejía-Ramos, J. P., Lew, K., de la Torre, J., & Weber, K. (2017). Developing and validating proof comprehension tests in undergraduate mathematics. Research in Mathematics Education, 19(2), 130-146. [preprint] [journal]


  • Weber, K., Fukawa-Connelly, T., Mejía-Ramos, J.P., & Lew, K. (2016). How to help students understand lectures in advanced mathematics. Notices of the American Mathematical Society, 63, 1190-1193. [journal]
  • Weber, K. (2016). Mathematical humor: Jokes that reveal how we think about mathematics and why we enjoy it. The Mathematics Intelligencer, 38, 56-61. [preprint]
  • Lew, K., Fukawa-Connelly, T., Mejía-Ramos, J. P., & Weber, K. (2016). Lectures in advanced mathematics: Why students might not understand what the professor is trying to convey. Journal for Research in Mathematics Education, 47, 162-198. [preprint]
  • Zhen, B. Mejía-Ramos, J. P. & Weber, K. (2016). Mathematics majors’ perceptions on the permissibility of graphs in proofs. International Journal for Research in Undergraduate Mathematics Education, 2, 1-29. [preprint]
  • Weber, K. (2015). Effective proof reading strategies to foster comprehension of mathematical proofs. International Journal for Research in Undergraduate Mathematics Education, 1, 289-314. [preprint]

Related sites

  • ULTRA. Upgrading Learning for Teachers in Real Analysis is an NSF-funded collaborative project to design, implement, and assess an innovative real analysis course for pre-service and in-service mathematics teachers. [site]