Year LX, Issue 3, 2017<<Archive>>
In this issue:
Еducаtionаl Tеchnologiеs
SOME APPLICATIONS OF MENELAUS THEOREM TO INSCRIBED CIRCLES
Several problems are considered in connection with the tangent points of circles inscribed in a triangle. A basic instrument in the problem solving is the application of Menelaus theorem. The work is awarded golden medal in the International competition “Mat...
Menelaus theorem; circle; center; triangle; tangent
SECOND PSEUDOCENTER OF THE QUADRILATERAL
The paper describes some properties of a notable point in convex quadrilateral – a generalization of the circumcenter of the inscribed quadrilateral.
quadrilateral; notable point; Euler Circle; Lemoin point; Brocardian circle
SEVERAL PROBLEMS FOR CIRCLES TANGENT TO CONICS
Several problems are considered for circles which are tangent to conics and are determined by points on the directress of the conic.
circle; conic; parabola; ellipse; hyperbola; center; triangle; focus; directress
APPLICATION OF A NEW APPROACH TO EDUCATIONAL SOFTWARE MODELING
The paper describes the application of a new model to educational software modeling. The mostly used models are analyzed such as block-schemes and the Unified language for modeling. Based on comparison, the semantic model of educational software modeling is...
educational software modeling; block-modeling schemes; universal modelling language
ЕDUCATIONAL PLATFORMS IN THE ORGANIZATION OF PEDGOGICAL PRACTICE FOR FUTURE TEACHERS
The paper presents a realization of a web platform, which can be used to organize practical lessons for future teachers. The main roles and their rights in the platform are shown. Some problems are mentioned. Ideas are given for application and future devel...
training; electronic resource; didactic design; platform
NATIONAL MATHEMATICAL OLYMPIAD FOR UNIVERSITY STUDENTS
The traditional National mathematical Olympiad for University students took place in Pamporovo resort from 18 to 21 May 2017. The event was hosted by the Plovdiv University “P. Hilendarski”. More than 100 students participated in the Olympiad representing 14 U...
problem; solution; Olympiad; University; student
A NOTE ON ONE OF THE PROBLEMS FOR \(7^{\text {TH }}\) GRADE – MAY 22, 2017
The present note is on the occasion of Problem 24 from the National external assessment for \(7^{\text {th }}\) grade held on May 22, 2017.
problem; solution; \(7^{\text {th }}\) grade; national assessment
GENADII LUKANKIN: A MODEST PICTURE IN THE INTERIOR OF THE EPOCH (on occasion of the 80-anniversary)
In the present year it is the 80-anniversary of Genadii Lavrovich Lukankin (1937 – 2006), a famous scientist-mathematician (complex analysis of several variables, boundary value problems), outstanding specialist in the domain of secondary (general) and hig...
mathematics; methodology; professor; collaboration
A MEMORY FOR PROFESSOR ANTON SHOUREK
The present documentary publication reminds of one of the outstanding figures in the Bulgarian education after the Liberation - the Czech mathematician Anton Shourek. Unknown document from his personal archive is presented – curriculum in geometry for the low...
Czechs educational figures in Bulgaria; high school; geometry; geometric drawing