Year LVI, Issue 6, 2013<<Archive>>
In this issue:
Articles
FIVE NEW PROOFS OF ONE TRIGONOMETRIC INEQUALITY IN THE TRIANGLE
The paper considers five proofs of the inequality \(\cos \alpha+\cos \beta+\cos \gamma \leq \tfrac{3}{2}\).
trigonometric inequality, triangle, proof
A GENERALIZATION OF AN INEQUALITY FOR TRAPEZOID
The present note is dedicated to a generalization of a problem from „Mathematics and Informatics“ journal, 2000.
convex quadrilateral, square, rhombus, trapezoid, area.
PROJECTIVE ALGEBRAIC CURVES, CONICS AND PASCAL THEOREM
The Pascal theorem is a key result in the classic Projective geometry of conics. The paper considers the Pascal theorem and some other facts from Projective geometry by means of the methods of the contemporary Enumerative geometry – a part of the Algebraic geo...
Enumerative geometry, intersection theory, Bezout theorem, Pascal theorem.
GRAPHICAL AND NUMERICAL COMUTER-AIDED SOLUTIONS OF EQUATIONS AND INEQUALITIES
The paper considers methods for graphical and numerical computer-aided solutions of equations and inequalities. It discusses the application of the computer program Graph to such problems.
computer-aided solution, equation, inequality, table, Graph
ABOUT CERTAIN FOUNDATIONS IN THE DESIGN OF A HEURISTIC-ORIENTED SYSTEM OF GEOMETRIC PROBLEMS
Why should we encourage the students to unleash their heuristic and creative potential? When and how to develop their skills in applying the method of additional constructions as a special heuristics? Which are the foundations related to the development of an...
heuristics, heuristic problem, additional construction, auxiliary elements
INTEGRATION OF GEOMETRIC FRACTAL STRUCTURES BY GEOGEBRA FOR A BLENDED LEARNING PROCESS
The paper analyzes contemporary teaching, which depends directly on technological improvement. The learning material at all levels should be adapted to the interests of the new generation, the increase of knowledge and skills combining various computer product...
fractal, GeoGebra, blended learning, Mathematics
TEACHING STRATEGIES IN E-LEARNING ENVIRONMENT
The paper considers basic matters connected to e-learning performance. A classification of learning materials is carried out on the base of their mass media format. Basic learning activities are presented concerning applications in electronic media. Some spec...
electronic education, learning materials, learning activities, classification, methodology
MACHINE ARITHMETIC IN INFORMATICS CLASSES
An attempt is done in the paper to break out of the teaching pattern concerning positional numeral systems in the Informatics curriculum. Operations with binary numbers are transferred to the machine memory by forward and inverse problems. Some peculiarities...
binary numeral system, integer type data, coding of numbers, forward and inverse problem, machine register
CRITERIA FOR EVALUATION OF INFORMATION TECHNOLOGY PROJECTS IN THE E-TWINNING PLATFORM
Methodological instructions are considered in the paper for launching a project by means of the platform eTwinning, and some criteria are explained for the evaluation of projects elaborated through it. The results of a conducted pedagogical experiment are used...
information technology, eTwinning, teamwork, cognitive activity