Year LVII, Issue 3, 2014<<Archive>>
Еducаtionаl Маttеrs
CREATIVE ACTIVITY STIMULATION OF BILINGUAL STUDENTS BY DYNAMIC SOFTWARE
Accounting for the specificity in teaching of romani students (insufficient knowledge of Bulgarian language, differentiation of the emotions as leading in knowledge formation), in the conditions of bilingual education the authors propose a support to the acqu...
bilingual education, romani people, dynamic software, creative thinking
PROGRAMMING OF NUMBER SERIES
A system of supporting tasks related to the application of number series from Mathematics in Informatics is developed. Number series are used to form knowledge and skills of students for cyclic algorithms. The article is focused on competition group E in Inf...
informatics for competitions, methodology, programing for fourth graders
Еducаtionаl Rеsеаrch
A CEVA CURVE FOR A POINT IN THE PLANE OF A TRIANGLE
The paper describes a way to obtain conics, which are defined by an arbitrary circumscribed conic of a given triangle and a point in the plane of the triangle. Some properties of the obtained conics are noted.
triangle, homothety, conic, Ceva circle, Ceva curve, Feuerbach configuration, Euler curve, Nagel point, GSP
AN INTERESTING ALGEBRAIC INEQUALITY AND SOME APPLICATIONS
The paper consider the following algebraic inequality \[\tfrac{a^{2}}{x}+\tfrac{b^{2}}{y}+\tfrac{c^{2}}{z} \geq \tfrac{(a+b+c)^{2}}{x+y+z},\quad\quad (1)\] where \(x, y, z\) are positive numbers and \(a, b, c \in \mathbb{R}\). Some generalizations are propos...
algebraic inequality, inequality of Cauchy-Bunyakovski-Schwarz, generalization, application