This article contains a collection of didactic ideas concerning teaching the elementary arithmetic. Although they are rmly based on abstract mathematics, they can be realized at di erent levels of teaching school ...

This article is concerned with some topics of the transformations of the graphs of functions. It is designated to serve as a text for the students of mathematics (prospective teachers) and the teachers of mathematics. In ...

The paper contains some theorems (with proofs) from numbers divisibility theory, and suggestions how to use them in the process of teacher training, which provide good opportunities for developing students' creative ...

This article attempts to single out actions performed by a person while solving a mathematical task that lead to the acquisition of desired habits towards solving such tasks. The examples of tasks, which are presented here ...

In this paper author underlines the necessity of continuing education of young academic teachers in the domain of methods of students' activity during their studies.

In the article the errors in the solutions of geometry problems made by the candidates for the rst year of the mathematical studies at the Pedagogical University of Cracow during the entrance examinations in 2003 and ...

This article presents the author's research results concerning the teaching of introductory notions and theorems of mathematical analysis. The research was carried out among the rst-year students of mathematics. The ...

This paper proposes a way to adapt theories of countable probabilistic spaces in order to use them to educate mathematical students trained to be teachers. It presents many examples of how to develop students' mathematical ...