EJMT Abstract

In the first part of this article [2], the concepts cosidered were those of propositional definitions – the most common cases of the logical structure of definitions, which kids encounter as early as at preschool age. In high school students meet concepts with quantifiers in definition. This paper illustrates the methods of teaching and learning such concepts in terms of using counterexamples and software considering the notion of limit of a function. In general, the types of student’s activities in studies of limit do not depend on the specifics of functions (whether they are real or complex, uni- or multivariate, etc.), whereas, the supporting models are dramatically different.