Year LXIII, Issue 1, 2020<<Archive>>
In this issue:
Еditoriаl
Еducаtionаl Маttеrs
FEATURES OF USING KODU GAME LAB IN TEACHING PROGRAMMING IN ELEMENTARY SCHOOL
The article presents the research results on the development of methodological approaches to the propaedeutics programming in primary school using Kodu Game Lab environment. The authors have considered a variety of current trends in primary education programmi...
computer science; primary school; programming; propedeutics of programming; Kodu Game Lab
INTEGRATED DIDACTICAL MODEL FOR THE FORMATION AND DEVELOPMENT OF MATHEMATICAL SKILLS AT THE PRE-SECONDARY STAGE OF THE BASIC EDUCATION
Three author’s didactical models are presented, which are applied in the elementary level of the basic educational degree, which can be used by educators for the optimization of the process of forming and developing mathematical skills, which are necessary in...
integrated didactical model; formation and development of mathematical skills; multimedia learning; generating mathematical problems; Microsoft Excel
INTERGRATING THE CURRICULUM IN MATHEMATICS AND TECHNOLOGIES AND ENTREPRENEURSHIP IN 5TH GRADE
The present paper analyzes the State Educational Standards, the State Educational Requirements and the school programs in Mathematics and Technologies and entrepreneurship in the 5th grade with respect to the real possibilities for integrating knowledge in Ma...
mathematics; technology and entrepreneurship; interrelationships; integration; motivation
Еducаtionаl Tеchnologiеs
GENDER ISSUES IN VIRTUAL TRAINING FOR MATHEMATICAL KANGAROO CONTEST
In today’s technologically enhanced world, mathematics competitions have become accessible to more boys and girls interested in challenging tasks. In previous studies, we were focused on the issue of attracting girls to mathematics generally, and math competit...
gender; online mathematics competitions; challenge; problemsolving
ANALYSIS OF THE PROBLEMS AND THE PERFORMANCE OF THE 11TH AND 12TH GRADE STUDENTS IN THE XIX MATHEMATICAL TOURNAMENT “PERPERIKON”
The paper presents the problems for XI and XII grades from the 19th Mathematical Tournament “Perperikon”, held in the city of Kardzhali on November 30, 2019. Methodological solutions of the problems are proposed. An analysis of the results achieved by the part...
education; mathematics competition
KLAMKIN’S INEQUALITY AND ITS APPLICATION
In this paper we consider a very useful inequality that Murray Klamkin \({ }^{1)}\) proved in 1975 (Uldmkin, 1975). The inequality has many applications, proving new inequalities included. A proof and some applications are proposed.
Klamkin‘s inequality; triangle sides; scalar product; law of cosines; application; examples
SOME APPLICATIONS OF SPIRAL SIMILARITY
Same basic properties of spiral similarity are considered. Their applications are discussed in generalizing well known plane geometry problems and a problem from the 60th International Mathematical Olympiad paper.
geometric transformation; homothety; spiral similarity; IMO problem; solution