Year LIX, Issue 6, 2016<<Archive>>
In this issue:
Еducаtionаl Маttеrs
FIRST INTERNATIONAL NET RESEARCH PROJECT OF SECONDARY STUDENTS IN THE FRAMES OF
One of the goals of the International project “Methodology and Information Technologies in Education (MITE)” is to create conditions for identification and support of young talents. A proven effective form of activity is the International Competition “Mathema...
geometry, secondary education, students’ research, international network collaboration, dynamical geometry software, cloud service.
SOME TRAJECTORIES DETERMINED BY ISOSCELES TRIANGLES
The paper presents the main results of the work of an international group of students in the frames of the research project “Geometry Scrabble in Cloud”. The study consisted in creating and solving problems that were generalizations and natural analogues of a...
locus, Euler line, Euler curve, curve of second degree
THE HOMEWORK – AN INTEGRAL PART OF EDUCATIONAL PROCESS
The paper is dedicted to the problems of the mathematical education in German taking place in the Technical University, Sofia. It focuses on the homework as an integral part of the learning process. The need of considering the suggested problematics is justi...
homework, educational system, learning, methodology of teaching
GROUPS OF LOGARITHMIC EQUA BY THE HELP OF EXCEL
The paper proposes possibilities to solve some groups of logarithmic equations by the help of the computer program Excel. The goal is to improve the capacities and to increase the interest of students studying mathematics in the secondary school.
problem solving, log equations, number, table, macros
Еducаtionаl Tеchnologiеs
PSEUDOCENTER AND ORTHOCENTER – NOTABLE POINTS IN THE QUADRILATERAL
The paper describes some properties of two notable points in the convex quadrilateral, which naturally generalize the circum-center and the orthocenter of the inscribed quadrilateral.
quadrilateral, circumcircle, circumcenter, orthocenter, Euler circle
SOME NEW INEQUALITIES AMONG THE ARITHMETIC, GEOMETRIC, HARMONIC AND QUADRATIC MEANS
Let \(A_{n}, H_{n}, S_{n}\) be the arithmetic, harmonic and quadratic means respectivity for the positive real numbers \(a_{1}, a_{2}, \ldots, a_{n}\). In this article we prove the following theorems: Theorem 1. For \(n=3\) we have \(A_{n} \geq(1-\lambda) \...
ineaquality, arithmetic mean, geometric mean, harmonic mean, quadratic mean
FUZZY LOGIC
There are four backbones to analyze time-series in general and forecast time-series for financial markets: Chaos-theory, Fuzzy logic, Neural networks and Genetic algorithms. The first one is considered in (Magenreuter, 2016a), while te third one in (Magenre...
financial market, time-series, fuzzy logic, forecasting
GENETIC ALGORITHM
There are four backbones to analyze time-series in general and forecast time-series for financial markets: Chaos-theory, Fuzzy logic, Neural networks and Genetic algorithms. The first one is considered in (Magenreuter, 2016a), while the second one – in (Magenr...
chromosome, reproduction, genetic algorithm, neural network, financial market, time-series, forecasting