Year LXII, Issue 3, 2019<<Archive>>
In this issue:
Еducаtionаl Маttеrs
MATHEMATICAL FALLACIES AND THEIR USE IN THE ALGEBRAIC CURRICULUM IN SCHOOLS
Mathematical fallacies are such statements in the chains of arguments that cause subtle mistakes. Using them in the process of teaching Mathematics can contribute to increasing students’ interest in learning the material as well as helping them acquire a firm...
sophism; fallacy; mathematics; algebra; teaching; paradox; howler
ONE TYPE OF PROBLEMS WITH INFINITE NUMBER OF CUBE ROOTS
In the present research paper a particular type of problems is examined, with an infinite number of cube roots involved. Different problems and questions are proposed and in terms of solving some examples two theorems are defined and proved. The study could be...
infinite number; cube roots; math competitions
SOME MATH QUIZZES FOR PRESENTING A NUMBER BY USING EQUAL DIGITS AND MATH OPERATIONS
This paper gives a formalization of a problem for presenting a number by using particular set of equal digits and a range of math operators. Based on the formal definition, an example for presenting 7 in two ways by using 4 times the digit 2 is given. The firs...
Math Quizzes; Math Operations; Integer Numbers
A NOTE ON THE ARBELOS IN WASAN GEOMETRY: SATOH’S PROBLEM AND A CIRCLE PATTERN
We generalize a problem in W asan geometry involving an arbelos, and construct a self-similar circle pattern.
arbelos; self-similar figure
Еducаtionаl Tеchnologiеs
FORMULAES FOR THE DISTANCES FROM THE BROCARDIANS AND THE MIQUEL POINT IN A QUADRILATERAL TO ITS VERTICES AND THE MIDPOINTS OF ITS SIDES AND DIAGONALS
Formulae are derived and presented for the distances to the vertices and the midpoints of the sides and diagonals of a quadrilateral from three of its notable points. They are used to prove some inequalities in the quadrilateral, connecting the lengths of its...
quadrilateral; notable points; inequalities; centroid; Euler circle
ON THE CONCEPT OF BITWISE OPERATIONS IN THE PROGRAMMING COURSES
This article is intended for anyone who studies programming, as well as for his teachers. The article deals with the some aspects of teaching programming languages C++ and Java. It presents some essential and interesting examples of the advantages of using bit...
bitwise operations; binary notation; set; Latin square
RESULTS OF THE FIRST WEEK OF CYBERSECURITY IN ARKHANGELSK REGION
The question of the need to teach schoolchildren to use cyberspace safely is the most discussed today. The analysis of the methodological literature and Internet sources suggests that almost all the proposed materials are instructive in nature. Students are no...
cybersecurity; schoolchildren; cyberthreat; a conceptual model; week of cybersecurity
DIDACTIC POTENTIAL OF REMOTE CONTESTS IN COMPUTER SCIENCE
A remote contest is a form of extracurricular students’ activity. Using the example of “Infoznaika”, a remote contest in computer science, the article discovers the didactic potential of such events, which includes monitoring the progress of computer science a...
extracurricular activity; remote contest; monitoring; cognitive activity; meta-disciplinary competence; disciplinary competence