Year LX, Issue 4, 2017<<Archive>>
In this issue:
Еducаtionаl Маttеrs
FOR THE AGENDA IN THE EDUCATION
The paper analyzes the necessity of a scientific-educational institution to connect approved methodologies and to create new ones in relation with the real requirements of the information society.
information society; education; requirements; scientific-educational institution
TEST GENERATOR
The article describes a prototype of a computer system for preparation of paper-delivered test materials for evaluation of knowledge, skills and competence of students in classroom curriculum-based education. By using the system the teacher can quickly prepa...
test generator; test examination; databases; secondary education; methodology of teaching; electronic education
Еducаtionаl Tеchnologiеs
LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS IN TRANSCENDENTAL EQUATIONS (PART II)
The paper is a continuation of the paper by the same author in issue 1/2017 of “Mathematics and Informatics” journal, dedicated to transcendental equations and combinations of logarithmic and trigonometric functions which are considered instead of combinations...
transcendental equations; logarithmic equations; trigonometric equations; problem solving
AN APPLICATION OF THE RELATION BETWEEN ARITHMETIC MEAN AND GEOMETRIC MEAN FOR RATIONAL PROVING SOME INEQUALITIES
In the present paper an idea for proving particular inequalities is revealed using the well-known relation between arithmetic mean and geometric mean. Methodologically the proposed inequalities are also solved in different ways by using alternative approaches...
inequalities; mathematical induction; arithmetic mean; geometric mean; methodology
DETERMINING THE NUMBER OF THE ROOTS OF A CLASS OF THIRD ORDER PARAMETRIC ALGEBRAIC EQUATIONS
The article is devoted to а methodology of determining the number of the roots of a class of cubic algebraic equations with real parameters in which one of the roots can be determined directly. A more general approach is presented too using derivatives and gra...
parametric equation; cubic function; methodology
INTERESTING PROOFS OF SOME ALGEBRAIC INEQUALITIES
The paper considers interesting proofs of two algebraic inequalities.
inequality; radical; generalisation
PROBLEMS ON THE BROCARD CIRCLE
We present problems for students about the Brocard circle. The problems are discovered by the computer program “Discoverer”, created by the authors.
Brocard circle; Euclidean geometry; triangle geometry; computer discovered mathematics; “Discoverer”
SOME CONSTRUCTIONS, GENERATED BY THE DUALITY PRINCIPLE
The paper announces some geometric constructions, generated by the duality principle and obtained by means of a computer. The proofs will be presented in a further publication.
triangle; centroid; Dezargues’ theorem; сircum curve; Euler curve; Euler line
APPLICATION OF LINEAR ALGEBRA IN ECONOMICS
Basic concepts of Linear algebra are presented in the present note with application in Economics. The aim is to provoke students in searching the applied character of basic mathematical notions and facilitate them in studying various applied disciplines where...
matrix; determinant; inverse matrix; matrix equation; Leontiev model
THE SPEED OF LIGHT
Some facts and properties are considered in the paper on occasion of the anniversary of the speed of light measurement.
light; speed; second; meter; nanometer