Publication Cover
PRIMUS
Problems, Resources, and Issues in Mathematics Undergraduate Studies
Volume 33, 2023 - Issue 2
100
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Jargon Miscues a Student’s Mathematical Thinking in an Online Proofs Course: A Reflective Study of an Email Intervention

REFERENCES

  • Cherkas, B. M. 1992. The art of undoing wrong mathematics in the classroom. PRIMUS. 2(1): 1–8.
  • Dreyfus, T. 1999. Why Johnny can’t prove. Educational Studies in Mathematics. 38(1/3): 85–109.
  • Edwards, B., and M. B. Ward. 2004. Surprises from mathematics education research: student (mis)use of mathematical definitions. The American Mathematical Monthly. 111(5): 411–424.
  • Gray, E., and D. Tall. 1994. Duality, ambiguity, and flexibility: a “proceptual” view of simple arithmetic. Journal for Research in Mathematics Education. 25(2): 116–140.
  • Harel, G., and L. Sowder. 2003. Case studies of mathematics majors’ proof understanding, production and appreciation. Canadian Journal of Science, Mathematics and Technology Education. 3(2): 251–267.
  • Hoyles, C. 1997. The curricular shaping of students’ approaches to proof. For the Learning of Mathematics. 17(1): 7–16.
  • Knuth, E., O. Zaslavsky, and A. Ellis. 2019. The role and use of examples in learning to prove. The Journal of Mathematical Behavior. 53: 256–262.
  • Ko, Y., and E. Knuth. 2009. Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions. The Journal of Mathematical Behavior. 28: 68–77.
  • Lithner, J. 2011. University mathematics students’ learning difficulties. Education Inquiry. 2(2): 289–303.
  • Miller, D., N. Infante, and K. Weber. 2018. How mathematicians assign points to student proofs. The Journal of Mathematical Behavior. 49: 24–34.
  • Moore, R. 1994. Making the transition to formal proof. Educational Studies in Mathematics. 27(3): 249–266.
  • Selden, A., and J. Selden. 2003. Validations of proofs considered as texts: can undergraduates tell whether an argument proves a theorem? Journal for Research in Mathematics Education. 34(1): 4–36.
  • Sfard, A. 1991. On the dual nature of mathematical conceptions: reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics. 22(1): 1–36.
  • Skemp, R. R. 1972. The Psychology of Learning Mathematics. London: Penguin Books.
  • Skemp, R. R. 1977. Relational understanding and instrumental understanding. Mathematics Teacher. 77: 20–26.
  • Stylianides, G., and A. Stylianides. 2017. Research-based interventions in the area of proof: the past, the present, and the future. Educational Studies in Mathematics. 96(2): 119–127.
  • Stylianides, G. J., A. J. Stylianides, and K. Weber. 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. Reston: National Council of Teachers of Mathematics.
  • Tall, D., and S. Vinner. 1981. Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics. 12(2): 151–169.
  • Thurston, W. P. 1990. Mathematical education. Notices of the AMS. 37(7): 844–850.
  • Thurston, W. P. 1994. On proof and progress in mathematics. Bulletin of the American Mathematical Society. 30(2): 161–178.
  • Weber, K. 2004. A framework for describing the processes that undergraduates use to construct proofs. Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education. 4: 425–432.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.