Year LVIII, Issue 4, 2015<<Archive>>
In this issue:
Еducаtionаl Маttеrs
COMPOSITE ARITHMETIC PROBLEMS. STRUCTURE-TECHNOLOGICAL MODEL AND MZ-MAP OF A PROBLEM. WORD PROBLEMS
The paper is focused on composite arithmetic problems in primary school mathematics. The authors follow the concept that the composite arithmetic problem is a composition of connected elementary arithmetic problems. With regard to this the notions of a stru...
primary school mathematics, elementary and composite arithmetic problem, constructive and technological model, MZ-map, arithmetic transformation, inversion
A MATHEMATICAL CLASS IN FOURTH GRADE
The paper shares an experience concerning a class on “Rectangle area”. The organization and the realization of the class are examined aiming at activation and motivation of pupils’ activity in the formation of durable knowledge.
activity, rectangle, length, width, circumference, surface
THE GOLDEN SECTION AND THE FIBONACCI NUMBERS SYNERGETIC RELATIONSHIP BETWEEN MATHEMATICS, INFORMATICS AND MUSIC
This paper represents the basic information about the golden section and the Fibonacci numbers as well as their interdisciplinary connections with informatics and music in a synergetic aspect.
golden section, fibonacci numbers, recurrence relation, fibonacci tree, music, harmony.
ANALYSIS OF THE PAPER FOR THE REGIONAL ROUND OF THE INTERNATIONAL MATHEMATICAL COMPETITION FOR UNIVERSITY STUDENTS “EUROPEAN KANGAROO”
The paper proposes the competition paper for university students from the regional round of the International mathematical competition “European Kаngarоо” in 2015. Methodological solutions of the problems are considered and an analysis of the results is propo...
mathematics competition, problem solving, university student
Еducаtionаl Tеchnology
TWO SYMMETRIC POLAR LINES AND TWO HARMONICALLY CONJUGATED POLEs
Some properties are described of poles and polar lines, generated by cevians in the plane of a given triangle.
triangle, conic, Euler curve, GSP
COMPUTER-DISCOVERED MATHEMATICS: CEVIAN CORNER PRODUCTS
By using the computer program “Discoverer”, we give theorems about cevian corner products.
cevian corner product, triangle geometry, remarkable point, computerdiscovered mathematics, еuclidean geometry, eiscoverer.