Year LX, Issue 6, 2017<<Archive>>
In this issue:
Еducаtionаl Маttеrs
A SURVEY OF MATHEMATICS DISCOVERED BY COMPUTERS. PART 2
This is the second part of the survey on mathematics discovered by computers. The first part is published in 2015 in the International Journal of Computer Discovered Mathematics. The second part of the survey contains articles published in 2015 – 2017.
computer discovered mathematics; learning through inquiry; learning through discovery; Euclidean geometry; problems for students
THREE INV
The paper presents results of the work of an international group of students in the frames of the realization of the research net project “Mathematical mosaic”. The results are obtained during investigations applying software products GeoGebra, Geometer’s Sket...
triangle; circle; locus; curve of second degree; complex number
GAMES WITH MODIFIED DICE
The paper studies variations of a standard six-sided dice. In particular, we consider dice with other integer numbers written on the faces, but with the same sum of those numbers. What is examined is how any two of those modified dice play against one another...
dice; face; toss; modified dice; random
Еducаtionаl Tеchnologiеs
BASIC CONFIGURATIONS OF DIAGONAL PRINCIPLE. INVARIANTS
The concepts of area of a triangle and volume of a tetrahedron are interpreted as invariants of basic configurations of points in two and threedimensional spaces and their analogues are found in four-dimensional space. The idea of the invariant of a basic con...
triangle; area; tetrahedron; volume; invariant; vector-algebraic modeling; affine co-ordinates; diagonal principle
LOGARITHMIC AND EXPONENTIAL IN TRANSCENDENTAL EQUATIONS (PART III)
The paper is a continuation of the first parts on the topic of transcendental equations by the same author in issues 1/2017 and 4/2017 of the “Mathematics and Informatics” journal. Presently, combinations of exponential and logarithmic functions are considered...
transcendental equation; logarithmic function; exponential function; problem solving
SOME NUMERICAL SQUARE ROOTS (PART TWO)
The present article is a continuation of the homonymous publication in the journal “Mathematics and Informatics”, issue 5, 2017. The theoretical considerations in it cover all cases when calculating the value of a finite and infinite number of nested square...
infinite sequence; nested radical; convergence; mathematical induction
ENTERTAINING PROBLEMS ON THE „PICTURE GALLERY“
The topic of the article is the inductive approach to solve entertaining problems, connected with the motion of a light ray in a rectangular gallery with mirror walls and pictures in three of its corners. Several cases are considered and geometric solutions of...
picture; gallery; ray; reflection; rectangle; co-ordinate net; incomplete induction