Proof comprehension

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  • Weber, K., Mejía Ramos, J. P., & Volpe, T. (in press). An empirical investigation into the relationship between proof and certainty in mathematical practice. To appear in Journal for Research in Mathematics Education. [preprint]

2021

  • Mejía Ramos, J. P., Evans, T., Rittberg, C., & Inglis, M. (2021). Mathematicians’ assessments of the explanatory value of proofs. Axiomathes. Advance online publication. https://doi.org/10.1007/s10516-021-09545-8

2020

  • Harel, G. & Weber, K. (2020). Deductive reasoning in mathematics education. In S. Lerman (Ed.) Encyclopedia of Mathematics Education (pp. 183-190). Springer.

  • Woods, C., & Weber, K. (2020). The relationship between mathematicians’ pedagogical goals, orientations, and common teaching practices in advanced mathematics. Journal of Mathematical Behavior, 59, Article 100792. https://doi.org/10.1016/j.jmathb.2020.100792

  • Lew, K., Weber, K., & Mejía Ramos, J.P. (2020). Do generic proofs improve comprehension? Journal of Educational Research in Mathematics, Special Issue, 229–248. https://doi.org/10.29275/jerm.2020.08.sp.1.229

  • Olsen, J., Lew, K., & Weber, K. (2020). Metaphors for learning and doing mathematics in advanced mathematics lectures. Educational Studies in Mathematics, 105, 1-17. https://doi.org/10.1007/s10649-020-09968-x

  • Fukawa-Connelly, T., Mejía Ramos, J.P., Wasserman, K., & Weber, K. (2020) An evaluation of ULTRA, an experimental real analysis course for prospective teachers built on a transformative model. International Journal of Research in Undergraduate Mathematics Education, 6(2), 159–185. https://doi.org/10.1007/s40753-019-00102-8

  • Lockwood, E., Caughman, J., & Weber, K. (2020). An essay on proof, conviction, and explanation: Multiple representation systems in combinatorics. Educational Studies in Mathematics, 103, 173-189. https://doi.org/10.1007/s10649-020-09933-8

  • Weber, K., Mejía Ramos, J.P., Fukawa-Connelly, T., & Wasserman, N. (2020). Connecting the learning of advanced mathematics with the teaching of secondary mathematics: Inverse functions, domain restrictions, and the arcsine function. Journal of Mathematical Behavior, 57, Article 100752. https://doi.org/10.1016/j.jmathb.2019.100752

  • Lew, K., & Mejía Ramos, J. P. (2020). The linguistic conventions of mathematical proof writing across pedagogical contexts. Educational Studies in Mathematics, 103(1), 43-62. https://doi.org/10.1007/s10649-019-09915-5

  • Weber, K., Lew, K., & Mejía Ramos, J. P. (2020). Using expectancy value theory to account for students' mathematical justifications.Cognition and Instruction, 38(1), 27-56. https://doi.org/10.1080/07370008.2019.1636796

  • Czocher, J. & Weber, K. (2020). Proof as a cluster concept. Journal for Research in Mathematics Education, 51(1), 50-74. https://doi.org/10.5951/jresematheduc.2019.0007

2019

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]