5
$\begingroup$

Selden & Selden (2011) listed 41 difficulties their students had in an experimental proving course into 9 categories. Unfortunately I haven't found similar work. Thus, my question is:

Is there a (more detailed) catalog of the misconceptions, typical errors or problems undergraduates have / make while proving?

References:

$\endgroup$
  • $\begingroup$ 41 difficulties in 9 categories isn't detailed enough? The link has some references. Perhaps you could start there for a pathway to related literature. $\endgroup$ – John Coleman Aug 25 '16 at 14:27
  • 2
    $\begingroup$ Maybe the book mentioend in this answer is of interest matheducators.stackexchange.com/a/11332 I do not know the book at all. I just recalled that answer, and though, maybe it's relevant. $\endgroup$ – quid Aug 25 '16 at 17:02
  • 1
    $\begingroup$ Across the entire undergraduate curriculum? Or for a particular topic? In the latter case, you might check something like: Ko, Yi-Yin, and Eric Knuth. "Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions." The Journal of Mathematical Behavior 28.1 (2009): 68-77. Link (no pay wall). $\endgroup$ – Benjamin Dickman Aug 26 '16 at 1:46
  • $\begingroup$ @BenjaminDickman: Your linked article really helped me! (It's okay that it focus on a particular topic). Can you add an answer with your reference? So I can upvote it... $\endgroup$ – Stephan Kulla Aug 26 '16 at 15:27
  • $\begingroup$ @StephanKulla Any list of "misconceptions, typical errors or problems" would seem to call for a cookbook. On the other hand, watching someone struggling with a mathematical text which they are "spoozed to get" goes a long way towards our understanding of the difficulties students have in understanding us. And that says a lot about us and the stuff we say and write. $\endgroup$ – schremmer Jul 1 '17 at 15:34

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.