Year LXII, Issue 1, 2019<<Archive>>
In this issue:
Еditoriаl
Еducаtionаl Маttеrs
THE ARCHIVES SPEAK: NATIONAL COMPETITIONS IN INFORMATICS
The article discusses the key events leading to the ideation, initiation, and establishment of the first programming contests for high school students in Bulgaria. The competitions preceding the First National Olympiad in Informatics (NOI) are presented in det...
programming contests; оlympiad in informatics; national olympiad in informatics; NOI; national spring tournament in informatics
A METHODICAL SYSTEM FOR THE FORMATION OF INFORMATION CULTURE OF TEACHERSPSYCHOLOGISTS IN INFORMATION EDUCATIONAL ENVIRONMENT
The use of information technologies in the modern educational environment continues to cause increased interest in both domestic and foreign psychological and pedagogical science. This is primarily due to the desire of participants in the psychological and ped...
information culture; information technologies in professional activity; information educational environment; methodical system
INCREASING THE DIGITAL COMPETENCES OF STUDENTS
The present paper examines the digital competences of secondary school students in Bulgaria in the light of the National External Evaluation of the 10th grade that has been held during the last years by the Ministry of Education and Science. There are ways to...
digital competence; national external evaluation; information literacy; information technology; education
Еducаtionаl Tеchnologiеs
SYSTEM OF TASKS IN MATHEMATICS EDUCATION
This paper presents a view to the notion System of tasks as a pedagogical approach, which means education trough tasks. It covers all steps in the teaching process – introduction of a new knowledge, training and application. The multilevel model of the system...
education in Mathematics; intersections; system of tasks; computer visualization and animation
EULER-GERGONNE’ S THEOREM AND ITS APPLICATIONS
The present paper considers a proof of the Euler-Gergonne’s theorem and its application to two assertions.
triangle; circumcentre; orthocentre; incentre; centroid; radius of the circumcircle; radius of the incircle of a triangle
A STATEMENT FOR CONCURRENCE OF PEDAL CIRCLES OF A POINT IN THE PLANE OF A QUADRILATERAL
It is proved in the present paper that the pedal circles of an arbitrary point in the plane of a quadrilateral, determined by its sides and diagonals, are concurrent. With the help of this statement a transformation is defined in the plane of an arbitrary quad...
quadrilateral; pedalcircles; transformations; remarkablepoints
POLYNOMIALS OF FOURTH DEGREE WITH COLINEAR CENTRAL SYMMETRIC ROOTS
A geometric relation is considered between a polynomial of fourth degree with symmetrically located roots on a line and the roots of its derivative. A special ellipse is used for the purpose, which is generated by the roots of the polynomial.
polynomial of fourth degree; derivative; symmetric points; equilateral triangle; square; center; ellipse; circle; vertices
PROBLEM 6. FROM IMO’2018
The International Mathematical Olympiad is one of the respectable events and one of the most long-lived international educational and scientific competitions. It is the largest, oldest and most prestigious scientific Olympiad for high school students. The \(5...
Olympiad; problem solving