Year LX, Issue 1, 2017<<Archive>>
In this issue:
Еditoriаl
Еducаtionаl Маttеrs
DEVELOPMENT OF THE DIDACTICS OF MATHEMATICS
An opinion is proposed for the development of the Didactics of Mathematics. What are described are the levels of development, main problems and the reasons for the difficulties to solve them. An idea is brought out that the skill of problem solving is a bas...
skill, situation approach, heuristic activity, reflection, synergetic, skill for problem solving
POISSON′S AMUSING PROBLEMS AND PERELMAN′S METHOD FOR THEIR SOLUTION AND STUDY
The subject of the paper is the Perelman’s geometric method for solving and empiric study of a popular class of amusing problems called Poisson’s problems. The main tool of investigation is a rhomboid net of a skew co-ordinate system. The problem situation i...
amusing mathematics, Poisson’s problems, solution, Perelman’s method, empiric study, rhomboid network, overflow ray, falling and reflected ray, hypothesis
VECTOR PRODUCT AND RELATIONS BETWEENSIDEAND SECTIONAREASOFSOMEPOLYHEDRA
The paper describes general relations between areas of sides and sections in some prisms and pyramids. The results are obtained by the use of vector product.
vector product, pyramid, prism, parallelepiped, tetrahedron, section
EXPONENTIAL AND TRIGONOMETRIC FUNCTIONS IN TRANSCENDENTAL EQUATIONS (PART I)
The paper proposes combinations of exponential and trigonometric functions, which are included in transcendental equations. Approaches for their solutions are considered.
transcendental equation, exponential equation, trigonometric equation, problem solving
Еducаtionаl Tеchnologiеs
EULER LINE AND EULER CURVE OF AN INSCRIBED POLYGON IN A CONIC
The paper follows the successive development of the idea to define the notions of Euler line and Euler curve of an inscribed polygon in a circle, which leads in a natural way to the construction of Euler line and Euler curve of an inscribed polygon in a conic....
conic, center of gravity, orthocenter, polygon, Euler line, Euler curve, GSP
GEOMETRY OF THE QUADRILATERAL, MIQUEL POINT, INVERSION ISOGONALITY
The paper describes some properties of Miquel point for the complete quadrilateral and relations with other notable points of the quadrilateral.
quadrilateral, circumcircle, Miquel point, inversion, isogonality