University Students’ Embodiment of Quantifiers
نویسنده
چکیده
This paper investigates the novice university students’ understanding of the formal definition of “equivalence relations”, especially their understanding of the quantifiers in the definition. Even though the definition is relatively simple and only involves the universal quantifier, we find that half of a class of highly qualified university students are unable to test whether an explicit relation on a set with three elements is an equivalence relation. Analysis of the data, from a questionnaire answered by 277 students and interviews with 36, reveals subtle influences of language and of conceptual embodiments. In particular, the transitive law, which is shared with the notion of order relation, may evoke an embodied image of order that is highly misleading.
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