The term mathematical modelling covers a wide range of activities. These are not only purely mathematical skills, but also skills referring to a framework of modelled situation. For this reason, acquiring the skills ...

In this paper we give formulas determining the Fibonacci polynomials of order $k$ using the so-called generalized Newton symbols, i.e., the coefficients in the expansion of $(1+z +z^2 +. . .+z^{k−1})^n$ with respect to ...

In this paper we present several examples of simple dynamical systems describing various real processes. We start from well know Fibonacci sequence, through Lotka-Volterra model of prey-predator system, love affair dynamics, ...

We discuss the popularization of science, in particular, mathematics. We focus on the contemporary methods and forms of popularization of mathematics at Children’s Universities in Poland: lectures, workshops and seminars.

In this paper the authors formulate and prove several conditions for triangle to be equilateral. These conditions are associated with Gergonne, Nagel and Torricelli points and were obtained by composing and solving the ...

The authors refer to the atmosphere, the issues and the results of this year international conference in Togliatti'2011 dedicated to 75 years of the academician W. M. Monachow. The authors remind his way to creative development ...

The article analyzes the development of the concept of methodical system of teaching mathematics. Various approaches (A. Pyshkalo, G. Sarantsev, T. Ivanova, N. Stefanova, etc.) to the concept of methodical system of ...

Measurement is an important form of human activity. It appears at all levels of secondary school education, while discussing the length of a segment, the area of a plane figure and the volume of a solid. The definition ...