Abstract: This paper demonstrates the applications of the geometric algebra in the solving several ancient and medieval algebraic problems and in elementary approximating constructions by means of ICT.
    Key words: geometric algebra, equation of 3rd degree, regular polygon

    Abstract: Our article is a conclusion part of our previous article from 2008. For details see: J.Havlík, B.Šikulová - O topologii na objektu typu třída in Acta Facultatis Paed. Univ. Tyrnaviensis, Ser. C, 2008, no.12, pp.7-15. We are going to maket following: the definition of the continnous mapping between two classes, the definition of topological subspaces, and the definition of the limit of a mapping. We will work with objects that are classes and not only sets and we are trying to prove basic theorems which will be applied on the ordinal number class and its subclasses.
    Key words: class, ordinal, continnous mapping, limit of a mapping

    Abstract: Transformation from history of mathematics to didactics. Several impulses from the history of mathematics are given as a motivation in education at elementary and high schools.
    Key words: history of mathematics, popularization and motivation in the education of mathematics

    Abstract: A graph is called integral if all the eigenvalues of its adjacency matrix are integers. In this paper, we give sufficient conditions for complete 3-partite graphs Km,m,p and complete 4-partite graphs Km,m,m,p to be integral, from which we construct infinitely many new classes of such integral graphs.
    Key Words: Integral Graph, Complete 3-partite Graph, Complete 4-partite Graph, Divisor, Characteristic Polynomial, Graph Spectrum, Diophantine Equation

    Abstract: One of the signs of goodspace imagination is the ability to visualize the 3D object according to its 2D projection. In this paper we have focused on the ability of imagination. We have studied student's solutions through methods of qualitative and quantitative analysis. We have analyzed student's task's solutions realized within the checking of students' entrance mathematical literacy on three faculties of education in Slovakia.
    Key words: space imagination, test of mathematical literacy

    Abstract: The developement of the Information Communication Technologies (ICT) brings the emergence of the management systems for teaching. Various systems for management of the teaching process have occured on the market, as Content Management System (CMS), Learning Management System (LMS) and Learning Content Management System (LCMS). LMS and LCMS, with quite different impact on education process. The most spread LMS system is the MOODLE. In the paper is presented the catergorization and descripiton of various management systems to help the teachears,who encounter problems in distingushing various systems, especially LMS an LCMS.
    Key words: elearning, Content Management System, Learning Management System, Learning Content Management System, Re-usable Learning Objects, Moodle

    Abstract: In our paper we demonstrated that famous Lorenz system of evolutionary equations describing the dynamics of climate systems is applicable in various qualitatively different fields, e. g. in hydrodynamics, climatology, optics, astrophysics, transport phenomena, biology and also in economical systems. It seems therefore, that this system of equations represents some type of universality, especially in the relation to the generation of a chaotic dynamics.
    Key words: deterministic chaos, Lorenz equations, structuring of the universe, transport phenomena, economical systems