| dc.description.abstract | In the education of mathematicians, including teachers of mathematics,
the measure theory plays an important role. From the experience
in and research on teaching the measure theory it follows that one of the
important reasons why students encounter difficulties in the subject is their
insufficient ability to apply their knowledge of other branches of mathematics,
especially of the set theory and topology.
In this article we propose a series of problem analyses and exercises aimed
at preparing students to study the measure theory, especially to understand
the proofs of theorems on properties of the measure, including the Lebesgue
measure. Most of these problems and exercises are presented with solutions,
outlines of solutions, hints, didactic remarks and comments.
In this paper we point out, in a practical way, the significance of active
reading of mathematical texts and skilful use of mathematical literature.
This article is dedicated to both students of mathematics and their academic
teachers. | en |
