This article deals with the activity of example generation as a special case of problem solving. We asked University students in the scientific-technological 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.
To exist or not to exist: example generation in real analysis / Furinghetti Fulvia; Morselli Francesca; Antonini Samuele. - In: ZDM. - ISSN 1863-9690. - STAMPA. - 43:(2011), pp. 219-232. [10.1007/s11858-011-0321-x]
To exist or not to exist: example generation in real analysis
Antonini Samuele
2011
Abstract
This article deals with the activity of example generation as a special case of problem solving. We asked University students in the scientific-technological 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.
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