{"id":65747,"date":"2020-06-16T13:42:45","date_gmt":"2020-06-16T10:42:45","guid":{"rendered":"https:\/\/azbuki.bg\/?p=65747"},"modified":"2023-08-25T17:22:44","modified_gmt":"2023-08-25T14:22:44","slug":"sp-matematika-i-informatika-knizhka-3-2020-godina-lxiii","status":"publish","type":"post","link":"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2020-g\/sp-matematika-i-informatika-knizhka-3-2020-godina-lxiii\/","title":{"rendered":"Mathematics and Informatics, Number 3\/2020, Volume 63"},"content":{"rendered":"
Editorial Board<\/a><\/span><\/h6>\n

EDUCATIONAL MATTERS<\/strong><\/span><\/h4>\n

About the Data and the Road Towards the Big Data<\/h3>\n

Abstract.<\/strong> 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 semi-structured and unstructured types. The speed with which data is generated and amassed necessitates the introduction of new technologies for their collection, transfer, storage and processing.\nIn a chronological fashion, this article begins with the foundational work of database development and progresses through the emergence of big data. Concurrently, the scientists, whose theoretical and practical work underpinned the development of data processing systems, are also discussed. The article provides examples to show the pervasiveness of big data in our daily lives. The key technologies utilized to process big data are described, including the Hadoop ecosystem and the NoSQL type of databases. A strong emphasis is given to the role of data analytics, used to transform the raw data into information, decision-making models and knowledge.
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\nKeywords:<\/em> big data; history of databases; NoSQL databases; tructureddata; unstructured data; semistructured data; ecosystem Hadoop<\/p>\n

Pavel Azalov<\/strong>
\nProfessor Emeritus of Computer Science\nPenn State, Hazleton, U.S.A.<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

 <\/p>\n

Contemporary Means and Teaching Methods, Using Cloud Technologies<\/h3>\n

Abstract.<\/strong> 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 to new teaching methods. Some new and adaptive methods are indicated and examples are shared for their application in a concrete Bulgarian school. It is shown that the use of contemporary means and teaching methods applying cloud technologies facilitates teacher\u2019s work and raises student\u2019s interest towards the learning process including active attitude to it.
\nKeywords:<\/em> cloud technologies; innovative technologies; secondary education; teaching methods; learning process<\/p>\n

Lyubka Slavova, Kosta Garov<\/strong>
\n\u201ePaisii Hilendarski\u201c University of Plovdiv<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

Integrative Classes on the Subject \u201cMathematical Technology\u201d Under Distant Learning Teaching<\/h3>\n

Abstract.<\/strong> The aim of the present article is to show that - regardless limitations, distant learning enables also opportunities to Bulgarian teachers. Such proof is the \u201cYoung Farmer\u201d classes realized successfully under distant learning teaching. The aim of the classes is to revise already known measuring units of area in 5th grade by integrative teaching \u2013 m2, dm2, cm2, mm2, introducing new ones \u2013 are, decare, hectare, and also to show the application of mathematics to farmer\u2019s work.
\nKeywords:<\/em> mathematics; technology and entrepreneurship; measuring units; distant learning<\/p>\n

Kostadin Petleskov<\/strong>
\nDepartment of Mathematics\nFaculty of Sciense\nSWU \"Neofit Rilski\"<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

 <\/p>\n

Designing a Professional Training Program for Working with Gifted Children Using Software Office 365 \/<\/h3>\n

Abstract.<\/strong> 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 activity-based learning based on modern educational technologies and digital resources, work with an empirical database with the results of leading educational centers which are focused on working with gifted children, with the identification of relevant problems and effective practices; attracting leading experts in the field of work with gifted children to conduct research etc\u2026. The program is implemented in a face-to-face network format with the use of modern distance learning and Office 365 software, which allows us to organize collaborative work with documents in real-time regime using Word Web App, PowerPoint Web App or Excel Web App.
\nKeywords:<\/em> professional training; gifted children; Office 365<\/p>\n

Oleg Zverev, Tatiana Sergeeva<\/strong>
\nMoscow City University (Russia)<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h4>\n
\n

EDUCATIONAL TECHNOLOGIES<\/strong><\/span><\/h4>\n

Mathematical Modelling in Learning Outcomes Assessment (Binary Model for the Assessment of Student\u2019s Competences Formation)<\/h3>\n

Abstract.<\/strong> In modern educational institutions there is a necessity for effective assessment methods of competence formation. Both achievement and summative assessment of students\u2019 progress needs to be produced with due expertise. One of the effective ways of improving students\u2019 qualification assessment is through the development and use of a competence formation assessment model. The article presents mathematical models of the subject area as well as competence formation assessment models. These models are determined by subsets of operators, i.e. evaluation operations themselves and necessary materials and equipment. In general, the obtained models describe the structure of the competence formation assessment system corresponding to the disciplines of the particular study field curriculum. The models take into account the specifics of the subject area. They are expandable and customizable.
\nKeywords:<\/em> mathematical modeling; theory of polychromatic sets; competence formation assessment; indicator<\/p>\n

L. E. Khaimina, E. A. Demenkova, M. E. Demenkov, <\/strong>
\nE. S. Khaimin, L. I. Zelenina, I. M. Zashikhina<\/strong>
\nNorthern (Arctic) Federal University named after M. V. Lomonosov (Russia)<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

Problems 2 and 5 on the IMO\u20192019 Paper<\/h3>\n

Abstract.<\/strong> The aim of the present note is to discuss Problem 2 and Problem 5 on the IMO\u20192019 paper. The 60th edition of the International Mathematical Olympiad (IMO) took place in the city of Bath, United Kingdom, 11 \u2013 22 July 2019, with the participation of 621 students from 112 countries. The event is the most prestigious scientific Olympiad for high school students. Problem 2 and Problem 5 are of mean difficulty on the paper. Problem 2 was solved fully (7 points) by 98 participants, 92 students were marked with 6 points, 3 with 5 points, 6 with 4 points, 6 with 3 points, 30 with 2 points, 135 with 1 point and 251 with 0 points. The mean result of all the 621 participants in the Olympiad is 2,399. Analogously, Problem 5 was solved fully (7 points) by 250 participants, 3 students were marked with 6 points, 7 with 5 points, 5 with 4 points, 12 with 3 points, 168 with 2 points, 20 with 1 point and 156 with 0 points. The mean result of all the 621 participants is 3,567.
\nKeywords:<\/em> Olympiad; problem solving; collinear points; concyclic points; parallel lines; Reim\u2019s theorem<\/p>\n

1)Sava Grozdev, 2)Veselin Nenkov<\/strong>
\n1) University of Finance, Business and Entrepreneurship \u2013 Sofia (Bulgaria)<\/em>
\n2) \u201cNikola Vaptsarov\u201d Naval Academy \u2013 Varna (Bulgaria)<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

Configurations \u043ef Pedal Circles \nof an Arbitrary Point
\nin the Plane of a Polygon<\/h3>\n

Abstract.<\/strong> 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 of a point in the plane of an arbitrary pentagon. Simson lines are found for points on determined lines in the plane of the pentagon.
\nKeywords:<\/em> quadrilateral; pentagon; pedal circles; Simson line<\/p>\n

1) Veselin Nenkov, 2) Stanislav Stefanov<\/strong>
\nDepartment of Mathematics and Physics\nFaculty of Engineering\n\u201cNikola Vaptsarov\u201d Naval Academy<\/em>
\n2) Technical University Sofia<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

On the Polynomials with Roots in the Vertices of a Class of Convex Quadrilaterals<\/h3>\n

Abstract.<\/strong> 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 coefficients are considered.
\nKeywords:<\/em> polynomial; derivative a polynomial; polynomial roots; convex quadrilateral; ellipse; focus<\/p>\n

1) Sava Grozdev, 2) Veselin Nenkov<\/strong>
\n1) University of Finance, Business and Entrepreneurship<\/em>
\nDepartment of Mathematics and Physics\nFaculty of Engineering\nNikola Vaptsarov Naval Academy<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

 <\/p>\n

Analysis of an Inquiry Examination of Teachers in Technologies and \u0415ntrepreneurship<\/h3>\n

Abstract.<\/strong> 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 Mathematics and other school subjects.
\nKeywords:<\/em> inquiry; technology and entrepreneurship; interrelationship; mathematics; integration<\/p>\n

Kostadin Petleskov<\/strong>
\nDepartment of Mathematics\nFaculty of Sciense\nSWU \"Neofit Rilski\"<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

\n

REVIEWS AND ANNOTATIONS<\/strong><\/span><\/h4>\n

Mathematical Competence Increase through Dynamic Geometry<\/h3>\n

Sava Grozdev<\/strong>
\nUniversity of Finance, Business and Entrepreneurship<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

 <\/p>\n

Reflective Model for Teaching Computer Modeling in Primary Stage of Education<\/h3>\n

Julia Doncheva<\/strong>
\n\"Angel Kanchev\", University of Ruse (Bulgaria)<\/em><\/p>\nLog in to read the full text<\/a>\n

\n

CONTEST PROBLEMS<\/strong><\/span><\/h4>\n

Contest Problems of this Issue<\/h3>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

Solutions of the Contest Problems from Issue 4, 2019<\/h3>\nLog in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"

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[…]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":{"subtitle":"","format":"standard","video":"","gallery":"","source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"single_blog_custom":"","parallax":"0","fullscreen":"0","sidebar":"","second_sidebar":"","sticky_sidebar":"0","share_position":"","share_float_style":"","show_share_counter":"0","show_view_counter":"0","show_featured":"0","show_post_meta":"0","show_post_author":"0","show_post_author_image":"0","show_post_date":"0","post_date_format":"","post_date_format_custom":"","show_post_category":"0","show_post_reading_time":"0","post_reading_time_wpm":"","show_post_tag":"0","show_prev_next_post":"0","show_popup_post":"0","number_popup_post":"1","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"","single_post_gallery_size":""}],"trending_post":"0","trending_post_position":"","trending_post_label":""},"jnews_primary_category":{"id":""}},"categories":[4034],"tags":[],"yoast_head":"\n\u0421\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u043a\u043d\u0438\u0436\u043a\u0430 3\/2020, \u0433\u043e\u0434\u0438\u043d\u0430 LXIII - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/newspaper.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2020-g\/sp-matematika-i-informatika-knizhka-3-2020-godina-lxiii\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0421\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u043a\u043d\u0438\u0436\u043a\u0430 3\/2020, \u0433\u043e\u0434\u0438\u043d\u0430 LXIII - 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