Year LXIII, Issue 3, 2020<<Archive>>
Еducаtionаl Маttеrs
ABOUT THE DATA AND THE ROAD TOWARDS THE BIG DATA
Over the past two decades, data turned into big data. The term big data encompasses the exponential growth of all data but most notably, the semistructured and unstructured types. The speed with which data is generated and amassed necessitates the introduction...
big data; history of databases; NoSQL databases; tructureddata; unstructured data; semistructured data; ecosystem Hadoop
CONTEMPORARY MEANS AND TEACHING METHODS, USING CLOUD TECHNOLOGIES
The present work is dedicated to contemporary means and teaching methods, using cloud technologies in Bulgarian secondary education. A review is elaborated on the development and essence of cloud technologies. Digital instruments are listed which are applied t...
cloud technologies; innovative technologies; secondary education; teaching methods; learning process
INTEGRAIVE CLASSES ON THE SUBJECT “MATHEMATICAL TECHNOLOGY” UNDER DISTANT LEARNING TEACHING
The aim of the present article is to show that - regardless limitations, distant learning enables also opportunities to Bulgarian teachers. Such proof is the “Young Farmer” classes realized successfully under distant learning teaching. The aim of the classes i...
mathematics; technology and entrepreneurship; measuring units; distant learning
DESIGNING A PROFESSIONAL TRAINING PROGRAM FOR WORKING WITH GIFTED CHILDREN USING SOFTWARE OFFICE 365
This article describes the Master Program of professional training of specialists for working with gifted children using software Office 365. We justify the relevance and identify key ideas and content of the program. It includes activitybased learning based o...
professional training; gifted children; Office 365
Еducаtionаl Tеchnologiеs
MATHEMATICAL MODELLING IN LEARNING OUTCOMES ASSESSMENT (BINARY MODEL FOR THE ASSESSMMENT OF STUDENT’S COMPETENCES FORMATION)
In modern educational institutions there is a necessity for effective assessment methods of competence formation. Both achievement and summative assessment of students’ progress needs to be produced with due expertise. One of the effective ways of improving st...
mathematical modeling; theory of polychromatic sets; competence formation assessment; indicator
PROBLEMS 2 AND 5 ON THE IMO’2019 PAPER
The aim of the present note is to discuss Problem 2 and Problem 5 on the IMO’2019 paper. The \(60^{\text {th }}\) edition of the International Mathematical Olympiad (IMO) took place in the city of Bath, United Kingdom, 11 – 22 July 2019, with the participatio...
Olympiad; problem solving; collinear points; concyclic points; parallel lines; Reim’s theorem
CONFIGURATIONS OF PEDAL CIRCLES OF AN ARBITRARY POINT IN THE PLANE OF A POLYGON
In this paper it is described the mutual location of the pedal circles of an arbitrary point in the plane of an arbitrary quadrilateral and pentagon with respect to the triangles determined by their sides and diagonals. As a result it is defined Simson circle...
quadrilateral; pentagon; pedal circles; Simson line
ON THE POLYNOMIALS WITH ROOTS IN THE VERTICES OF A CLASS OF CONVEX QUADRILATERALS
A geometrical relation is derived for the roots of polynomials of complex variable with multiple roots in the vertices of a convex quadrilateral and the roots of the corresponding derivatives. As an application some polynomials of real variable and with real c...
polynomial; derivative a polynomial; polynomial roots; convex quadrilateral; ellipse; focus
ANALYSIS OF AN INQUIRY EXAMINATION OF TEACHERS IN TECНNOLOGIES AND ENTREPRENEURSHIP
The inquiry examination aims at establishing whether teachers in Technologies and entrepreneurship in 5th grade respect the order of the sections and topics as scheduled in the course syllabus or change it according to the realization of integrative links with...
inquiry; technology and entrepreneurship; interrelationship; mathematics; integration