Year LV, Issue 1, 2012Archive>>
In this issue:
Articles
КЪМ ЧИТАТЕЛЯ / ЕDITORIAL
80-ГОДИШЕН ЮБИЛЕЙ
COMPARATIVE ANALYSIS OF THE 8\(^{TH}\) ZHAUTYKOV OLYMPIAD
The paper analyses the results of the \(8{ }^{\text {th }}\) Zhautykov International Olympiad, held in Almaty, Kazkhstan, January 15–21, 2012. The scores in Mathematics and Informatics of the three highly ranked schools from Bulgaria, Kazakhstan and Russia...
Olympiad, problem solving, achievement, methodology, heuristics
BUFFON’S NEEDLE AND ESTIMATION OF THE \(\boldsymbol{\pi}\) NUMBER
In 1777 the French scientist Georges Louis Leclerc, Comte de Buffon, asked and solved the following problem: what is the probability that a needle of length \(l\) when dropped randomly onto a net of parallel cracks, distance \(b\) apart, lands on a crack? Th...
probability, number \(\pi\), Buffon
ON THE E-LEARNING
The present note announces the intention of Mathematics and Informatics Journal to publish materials on e-learning. Basic characteristics of e-learning are presented.
Internet, computer, software, e-learning, web-learning, blended learning
REQUIREMENTS TO OBTAIN PROFESSION-QUALIFICATION DEGREES
The present note considers basic information about the requirements for the profession-qualification degrees. It announces the intention of Mathematics and Informatics Journal to share opinions on the career development of teachers in Mathematics and Informat...
teacher, career development, profession-qualification degrees
МЕЖДУНАРОДНИ КОНКУРСИ ЗА РАЗРАБОТВАНЕ НА ПРОЕКТИ
MATHEMATICS IS AMUSING
Aschool hour with 5th grade students is presented on extremal problems connected with perimeters and areas of rectangles. The dynamic environment of GeoGebra is used.
rectangle, square, perimeter, area, extremal problem, dynamic environment
COMPARISON OF EXPRESSIONS WITH SQUARE ROOTS
The present note considers applications of the properties and the operations with square roots in comparison of irrational expressions.
ирационалeн израз, квадратен корен; училищна математика
COUNTING OF INTERSECTION POINTS OF SEGMENTS AND LINES
Absract. The present note considers a class on Combinatorics with \(11{ }^{\text {th }}\) grade students.
combinatorics, line, segment, intersection point
TWO PAIRS OF POINTS, GENERATED BY CENTRAL CONICS WITH RESPECT TO A TRIANGLE
The software program “THE GEOMETER’S SKETCHPAD” (GSP) is used in the paper to discover various interesting properties of special conics associated with a given \(\triangle A B C\). Mathematical proofs of the discovered properties are proposed too. For examp...
THE GEOMETER’S SKETCHPAD (GSP), conjugate triangle, conic, inscribed conic, circumscribed conic, tangent point