Maintenance Notification: Please note that web services requiring account login will be unavailable on Sunday, September 25 from approximately 7:00 a.m. until 2:00 p.m. ET for scheduled maintenance. Impacted services that will be unavailable during that time include My NCTM, creating an NCTM online account, conference registration, conference proposal submission, joining or renewing membership, commenting on blog posts and content, and purchasing articles and products. We apologize for the inconvenience.

  • Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem?

    Annie Selden, John Selden
    This article reports on an exploratory study of the way that eight mathematics and secondary education mathematics majors read and reflected on four student-generated arguments purported to be proofs of a single theorem. The results suggest that such undergraduates tend to focus on surface features of arguments and that their ability to determine whether arguments are proofs is very limited-perhaps more so than either they or their instructors recognize. The article begins by discussing arguments (purported proofs) regarded as texts and validations of those arguments, that is, reflections of individuals checking whether such arguments really are proofs of theorems. It relates the mathematics research community's views of proofs and their validations to ideas from reading comprehension and literary theory. Then, a detailed    analysis of the four student-generated arguments is given and the eight students' validations of them are analyzed.
  • 0 Comments

    Add Comment

    Text Only 2000 character limit

    Page 1 of 1