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Durand-Guerrier, Viviane; Arsac, Gilbert – Educational Studies in Mathematics, 2004
It is widely attested that university students face considerable difficulties with reasoning in analysis, especially when dealing with statements involving two different quantifiers. We focus in this paper on a specific mistake which appears in proofs where one applies twice or more a statement of the kind "for all X, there exists Y such that R(X,…
Descriptors: Mathematics Teachers, Semantics, Calculus, Algebra