Year LXII, Issue 4, 2019<<Archive>>
In this issue:
Еducаtionаl Маttеrs
A NEW SERIES OF OLYMPIAD CHESS PROBLEMS: CHESS BOARD, ROOK AND NUMBERS
The present article proposes a new series of Olympiad problems in Mathematics. It provides an overview of the Olympiad problems, the content of which aims at studying qualitative (possible, acceptable) or quantitative locations of a rook or rooks on a chessboa...
olympiad math problem; chess; chess rook; square of the matrix, sum of the squares of a matrix
THE REARRANGEMENT INEQUALITY
In this paper we consider a really very useful inequality, the so called rearrangement inequality, which has may applications and could be used in proving other inequalities. The paper contains a proof of the rearrangement inequality and several examples of it...
equality; inequality; rearrangement inequality; permutation; sequence; corollary; example
ASTROID
The paper presents the results of the Bulgarian sub-team – a part of an international team of secondary students. The ream was formed for the realization of the net research project “Encyclopedia of Notable Plane Figures: We Work by Ourselves”. The research w...
circle; curves; trajectory; astroid
POLYNOMIALS WITH MULTIPLE ROOTS IN THE VERTICES OF A PARALLELOGRAM
A geometric relation is derived between the roots of polynomials of complex variable with multiple roots in the vertices of a parallelogram and the roots of their derivatives. As an application some polynomials of real variable with real coefficients are consi...
polynomial; roots of polynomial; parallelogram; rhombus; rectangle; ellipse; focus; centre
Еducаtionаl Tеchnologiеs
COMPUTER PROGRAMMING IN MATHEMATICS EDUCATION
In the last few decades, the contemporary informational technologies introduced new challenges in front of the education in mathematics. These challenges concern an essential part of the methodology of education itself. In this paper we present four different...
mathematics education; computer programming; Wolfram language; Analytical Geometry; continuity; local extrema
CREATING INTERACTIVE AND TRACEABLE EPUB LEARNING CONTENT FROM MOODLE COURSES
Technology enhanced learning is shifting from a centralized platform environment to a variety of elements to support and enrich interactions between learners and educational material. In this context, the paper addresses the creation of eBooks in EPUB format b...
Learning Analytics; xAPI; educational content modelling; educational authoring; EPUB; e-learning environment