Year LXII, Issue 2, 2019<<Archive>>
In this issue:
Еducаtionаl Маttеrs
THE ARCHIVES SPEAK: INTERNATIONAL CONTESTS IN INFORMATICS
The main theme of this article centers on the international contests in Informatics. The article details the key events preceding the initiation and organization of the First International Olympiad in Informatics (IOI), held in Bulgaria in 1989, and provides s...
programming contests ; international olympiad in informatics; IOI; history of IOI; ACM ICPC
ELECTRONIC TEXTBOOK IN OVERVIEW LECTURES FOR STATE EXAMINATION IN DISPEL
The paper presents the design, authoring and implementation of an electronic textbook in the Overview Course for the preparation of the written state examination for students from program „Information technologies, Mathematics and Educational Management“ in Pl...
electronic textbook; electronic learning content; DisPeL
EXPERIMENTAL MATHEMATICS AS ENVIRENMENT FOR THE PREPARATION OF STUDENTS FOR RESEARCH IN THE FORM “SCIENCE 2.0”
The paper presents the experimental mathematics as a problem environment for students’ research activities. Such an area is available to students who have different level of mathematical competence. The organization of students’ research activities in experime...
experimental mathematics; network research project; crowdsourcing; dynamical mathematics software; inquiry-based education
Еducаtionаl Tеchnologiеs
LOCI, GENERATED BY EQUILATERAL TRIANGLES WITH VERTICES LYING ON A CIRCLE
The article is a scientific work of student under the supervision of Associate Professor Dr. Veselin Nenkov. The new results in it were awarded first prize at the International Competition “Methodology and Information Technology in Education” in 2019. The arti...
equilateral triangle; circle; ellipse; curve of fourth degree
GEOMETRIC MODELING IN COMBINATORIC PROBLEMS
The article presents the changes in the mathematics curriculum. The place of Combinatorics in new curriculum is considered. An idea for geometric modeling application is proposed for solving combinatory problems. Three different types of models are suggested....
combinatorics; modeling; geometry; student; extracurricular education
ONE GENERALIZATION OF THE GEOMETRIC PROBLEM FROM 19TH JUNIOR BALKAN MATHEMATICAL OLYMPIAD
We present one possible generalization, inspired by the usage of the Dynamic Geometry Software GeoGebra, of the geometric problem from the 19the geometric problem from the \(19{ }^{\text {th }}\) Junior Balkan Mathematical Olympiad. We have presented the proce...
Math Olympiad; Dynamic geometry software; Experiment; Tree diagram
EXTREMAL PROPERTIES OF THE LEMOINE POINT IN THE QUADRILATERAL
Proofs are presented of some extremal properties of a notable point in a convex quadrilateral.
quadrilateral; notable point; extremal properties
SOME SIMPLE INTEREST MODELS
In this paper some aspects of financial mathematics and in particular some problems for simple interest are examined. As we know, the classical formula for simple interest is based on the assumption for constant initial investment and constant interest rate. T...
simple interest; financial calculations; percentages
A TRIANGLE AND A TRAPEZOID WITH A COMMON CONIC
The aim of the present note is to propose a generalization of Problem 1 on the IMO’2018 paper. The International Mathematical Olympiad (IMO) is the most prestigious scientific Olympiad for high school students. Its \(59{ }^{\text {th }}\) edition took place i...
Olympiad; problem solving; triangle; trapezoid; conic