
05933487
j
2011e.00505
Furinghetti, Fulvia
Morselli, Francesca
Antonini, Samuele
To exist or not to exist: example generation in real analysis.
ZDM, Int. J. Math. Educ. 43, No. 2, 219232 (2011).
2011
Springer, Berlin/Heidelberg
EN
E40
C30
D40
I10
doi:10.1007/s118580110321x
Summary: This article deals with the activity of example generation as a special case of problem solving. We asked university students in the scientifictechnological area to produce examples (which may exist or not) of mathematical objects fulfilling given requirements. For the analysis of students' performances, we have developed a model that attempts to grasp the nature of the different stages in the solving process. The discussion of the findings allows us to outline specificities and educational potentialities of example generation activities.