\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016f.00808}
\itemau{Zazkis, Dov; Villanueva, Matthew}
\itemti{Student conceptions of what it means to base a proof on an informal argument.}
\itemso{Int. J. Res. Undergrad. Math. Educ. 2, No. 3, 318-337 (2016).}
\itemab
Summary: In this paper we explore how students construe what it means for an informal argument to be the basis of a proof. We use students' attention as a proxy for their conceptions and document what they pay attention to when assessing whether a proof is based on an informal argument. The data illustrate that some undergraduate mathematics students pay attention to only a limited cross section of the connections that exist between informal arguments and proofs. This indicates that their conceptions of what it means to base a proof on an informal argument involve relatively superficial similarities. Students' attention to only a small cross section of what can be carried forward from an informal argument toward the goal of creating a proof can account for some student difficulties with, and avoidance of, using their own informal arguments as a basis for proof construction.
\itemrv{~}
\itemcc{E55 C35}
\itemut{proof; informal argumentation; formalization; semantic reasoning; syntactic reasoning}
\itemli{doi:10.1007/s40753-016-0032-3}
\end