Year LV, Issue 4, 2012<<Archive>>
In this issue:
Articles
ANALYSIS OF THE PROBLEMS FROM THE NATIONAL OLYMPIAD IN MATHEMATICS FOR UNIVERSITY STUDENTS
The paper proposes the competition papers of the National Olympiad in Mathematics for University students in 2012. Methodological solutions of the problems are considered for the three groups of students corresponding to the profile of the Higher school where...
Olympiad, problem solving, university student.
ANALYSIS OF TWO PROBLEMS FROM THE INTERNATIONAL MATHEMATICAL OLYMPIAD
Successful solutions of the first two problems from the paper of the International Mathematical Olympiad in 2012 were enough for a bronze medal. The paper is dedicated to the analysis of these problems. The other problems are stated only.
Olympiad, problem solving, orthocentеr, derivative.
UBIQUITOUS ARCHIMEDEAN CIRCLES
Ubiquitous Archimedean circles of the arbelos arising from a result of the old Japanese geometry are considered. It is shown that they cover the plane.
arbelos, Archimedean circle, paralleogram, similarity, ubiquitous circle.
MANAGING UPGRADES OF OPEN SOURCE VIRTUAL LEARNING ENVIRONMENT
The timely upgrade to the next updated version of an eLearning system is important and necessary. But in practice it appears that it is almost impossible to realize it automatically and immediately, as recommended. Problems on the one hand are related with cus...
e-Learning, VLE, Moodle, upgrade
THE EXAM FOR THE FOURTH PROFESSIONAL QUALIFICATION DEGREE IN MATHEMATICS
The paper contains information about the requirements, the regulations and the organization of the exam to acquire fourth professional qualification degree by Mathematics teachers. The last four years exam papers are given and an analysis with short solutions...
degree, professional qualification degree, problem.
PREPARATION OF TEACHERS FOR OBTAINING FIFTH AND FOURTH PROFESSIONAL DEGREES IN INFORMATICS AND INFORMATION TECHNOLOGIES
This article provides guidance in the preparation of teachers for passing the exams for obtaining fifth and fourth professional degrees for informatics and information technologies from the Department for Information and In-Service Teacher Training – Stara Zag...
Professional Qualification Degree, Teachers, Education, Informatics, Information Technologies
COMPUTER HEURISTICS AND THEIR USЕ IN THE OLYMPIAD MATHEMATICS
The study of heuristics is a crucial element in the formation of skills for problem solving in Mathematics. One of the main tasks of the contemporary methodology in Mathematics is to establish a professional ground and practical abilities to modeling and solvi...
Olympiad, problem, problem solving, heuristics, computer.
TWO EDUCATION RESEARCH INITIATIVES
The present information note considers the International Competitions in the frames of the International Project MITE and the scientific activities of the Workshop “Didactical modeling” of the Institute of Mathematics and Informatics, Bulgarian Academy of Scie...
competition, scientific project, mathematical methodology, Didactics, didactical modeling.