Year LXI, Issue 5, 2018<<Archive>>
In this issue:
Еducаtionаl Маttеrs
RESULTS OF THE SECOND INTERNATIONAL OLYMPIAD IN FINANCIAL AND ACTUARIAL MATHEMATICS FOR SCHOOL AND UNIVERSITY STUDENTS
The present paper sums up the results of the Second international Olympiad in financial and actuarial mathematics established by two Bulgarian universities: Economical university-Varna and Higher School of Insurance and Finance-Sofia. The participants were div...
financial literacy; Olympiad; mathematical methods
LEARNING AND ASSESSMENT BASED ON GAMIFIED E-COURSE IN MOODLE
The paper presents game-like elements suitable for the realization of a gamified e-course and their representation as components in the e-learning environment Moodle. An example of the design of a gamified e-learning course in Moodle is shown. The paper conta...
gamification; e-learning course design; e-learning
EXPONENTIAL, LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS IN TRANSCENDENTAL EQUATIONS (PART IV)
The paper is dedicated to transcendental equations. Presently, combinations of exponential, logarithmic and trigonometric functions in a transcendental equation are considered. Approaches to solve them are proposed.
transcendental equation; problem solving
PASCAL’S LIMACON
The paper presents results of the Russian participants in the net research project “Encyclopedia of notable plane figures: we work by ourselves”. The project aimed at systematization and development of knowledge on notable plane curves by secondary students....
circle; curve; equation; GeoGebra; Pascal’s limacon
Еducаtionаl Tеchnologiеs
CONSTRUCTION OF A TYPE OF ALGEBRAIC CURVES IN THE PLANE OF A TRIANGLE
Abstract: Two classes of curves of \((n+1)-\) th degree \((n \in \mathbb{N})\) are obtained in the plane of a given triangle in connection with the generalization of a problem on locus determination. What are described are the common points of those curves a...
triangle; circle; hyperbola; regular polygon; curve of (n + 1 )-th degree
POLYNOMIALS WITH ROOTS IN THREE COLLINEAR POINTS
A geometric relation is considered between polynomials with roots in three collinear points and the roots of their corresponding derivatives by means of a set of ellipses generated by the polynomial roots.
polynomial; derivative; ellipse; circle; vertices; centroid
COMBINATORIAL PROBLEMS RELATED TO TRIANGLES
The present paper considers an application of the triangle inequality to integer triangles. Formulae are found for their number in the cases of equilateral, isosceles and scalene triangles. The formulae give opportunities for quick problem solving in regular m...
triangle inequality; integer triangle; counting; combinatorics