{"id":63242,"date":"2019-11-05T17:01:27","date_gmt":"2019-11-05T14:01:27","guid":{"rendered":"https:\/\/azbuki.bg\/?p=63242"},"modified":"2023-08-25T17:22:46","modified_gmt":"2023-08-25T14:22:46","slug":"sp-matematika-i-informatika-knizhka-6-2019-godina-lxii","status":"publish","type":"post","link":"https:\/\/strategies.azbuki.bg\/en\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-6-2019-godina-lxii\/","title":{"rendered":"Mathematics and Informatics, Number 6\/2019, Volume 62"},"content":{"rendered":"

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

Discrete Mathematics and Programming \u2013 Teaching and Learning Approaches<\/h3>\n

Abstract.<\/strong>\u00a0Discrete mathematics is one of the most important parts of the introduction to programming. Although known as the basis of writing good software and its usage is necessary, the students have many difficulties while gaining the competency to apply it in software projects. In order to make it a little bit easier for learners, an additional course Discrete Mathematics and Programming was conducted in the Informatics major in the New Bulgarian University. Its objectives, conduction, some exemplary tasks and homework are presented in this paper. The difficulties in the learning process and different approaches to reduce them are discussed.
\nKeywords:<\/em>\u00a0discrete mathematics; programming; algorithm; learning<\/p>\n

Mariyana Raykova, Hristina Kostadinova, Stoyan Boev<\/strong>
\nNew Bulgarian University \u2013 Sofia (Bulgaria)<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

Automated Management of Network Infrastructure<\/h3>\n

Abstract.<\/strong>\u00a0This article discusses network management automation problem. Difficulties encountered while expanding network infrastructure are addressed. An analysis of the path to automation in network management is given.
\nA process classification for network automation is proposed. A brief survey of the most popular network management tools is presented. A comparison between these and a custom tool contributed by the authors is made. The custom tool is used in \u201cInformation Services\u201d Plc for network management.
\nIn conclusion we shared some thoughts about application extension, popularization and integration.<\/p>\n

Keywords<\/em>: network management; network automation; software development for network management<\/p>\n

1) Hristo Hristov, 2) Angel Ignatov<\/strong>
\n1) Faculty of Mathematics and Informatics\nUniversity of Plovdiv \u201cPaisii Hilendarski\u201d<\/em>
\n2)\u201cInformation Services\u201d Plc - Plovdiv<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

Converter from Moodle Lessons to Interactive Epub Ebooks<\/h3>\n

Abstract.<\/strong>\u00a0This article describes a software, that automatically converts already created Moodle Learning Resources of type \u201clessons\u201d into interactive e-books, stored in EPUB format. The advantages of EPUB format to present learning content are discussed, as well as existing examples of its use in education. Emphasis is given to creating interactive EPUB lessons that enable tracking learners\u2019 activities and saving their current progress with the help of xAPI statements and stateAPI implementation.<\/p>\n

Keywords:<\/em>\u00a0EPUB; xAPI; e-learning environment; educational content modelling; educational authoring; Learning Analytics<\/p>\n

1)Martin Takev, 1)Elena Somova, 2)Miguel Rodr\u00edguez-Artacho<\/strong>
\n1)University \u201cPaisii Hilendarski\u201d \u2013 Plovdiv (Bulgaria)<\/em>
\n2)UNED University \u2013 Madrid (Spain)<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h4>\n

Cycloid\u00a0<\/span><\/h4>\n

Abstract.<\/strong>\u00a0The present article describes the results of the sub-team of Kazakhstan \u2013 a part of an International team of students, created for the realization of the net research project \u201cEncyclopedia of Notable Plane Curves: We Write by Ourselves\u201d. For completing the tasks, students made computer researches by using the software products GeoGebra, Geometer\u2019s Sketchpad and Maple. The coordinate method was applied to the proofs of the corresponding hypothesis. The net interaction between the participants has been carried out in Google Cloud.<\/p>\n

Keywords:<\/em>\u00a0circle; curve; trajectory; cycloid<\/p>\n

Ayapbergenov Azamat, Bokaeva Moldir,<\/strong>
\nChurymbaev Beknur, Kaldybek Zhansuygen<\/strong>
\nRegional Specialized Boarding School for Gifted \nChildren with In-Depth Study of Various Subjects - Aktau, Kazakhstan<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

Cardioide<\/h3>\n

Abstract.<\/strong>\u00a0The paper presents the results of the work of the Russian sub-team from the city of Arkhangelsk \u2013 a part of the international team of students. The team was created in connection with the realization of the net research project \u201cEncyclopedia of Notable Plane Curves: We Write by Ourselves\u201d. The research was made by using the software program GeoGebra. Methods from Analytical Geometry were applied for proving the corresponding hypothesis. The net interaction between the participants was carried out in Google Cloud service.<\/p>\n

Keywords:<\/em>\u00a0circle; curve; trajectory; cardioid\u0435<\/p>\n

Vorontsov Eugene, Platonov Nikita<\/strong>
\nPublic Secondary school \u21168<\/em>
\n30, Avenue Obvodni kanal\n163 002 Arkhangelsk, Russia<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

\n

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

A Generalization of the Fermat Points in the Plane of a Triangle<\/h3>\n

Abstract.<\/strong>\u00a0It is considered a generalization of the equilateral triangles depending on their circumscribed ellipses. It is obtained a generalization of the Fermat points in the plane of a given triangle as a corollary of the corresponding construction.<\/p>\n

Keywords:<\/em>\u00a0triangle; ellipse; Fermat points<\/p>\n

1) Sava Grozdev, 2) Veselin Nenkov<\/strong>
\n1)University of Finance, Business 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

Other Connections between Notable Points in the Quadrilateral<\/h3>\n

Abstract.<\/strong>\u00a0New geometric connections between different notable points in the quadrilateral are considered in the paper. It is proved that the lines, determined by three pairs of notable points are concurrent. Also, connections between notable points in the quadrilateral, generated by the transformations isogonal conjugate and complement are discussed.<\/p>\n

Keywords:<\/em>\u00a0quadrilateral; notable point; line; isogonal conjugate; complement<\/p>\n

1) Veselin Nenkov, 2) Stanislav Stefanov<\/strong>
\nResearcher ID AAB-5776-2019\n\u201cNikola Vaptsarov\u201d Naval Academy\n73, Vasil Drumev St.\nVarna, Bulgaria<\/em>
\n2) Technical University \u2013 Sofia<\/em><\/p>\nLog in to read the full text<\/a>\n

<\/h3>\n

 <\/p>\n

Bulgarian Olympiad on Financial and Actuarial Mathematics in Russia<\/h3>\n

Abstract.<\/strong>\u00a0Improving financial literacy for all segments of the population is a global problem which solving is aim of many international and national projects. It is not possible to find a sufficient solution without drawing attention to mathematical methods for adequate understanding and assessment of financial situation and taking optimal decisions. This is the goal of the Olympiad, established by two Bulgarian universities: the Higher School of Insurance and Finance (VUZF) in Sofia and the Economics University in Varna. Russia participated in the 2018-2019 edition of the\nOlympiad for the third time. This paper presents the Olympiad task solutions and gives information about the solution difficulties faced by the students. The authors hope that this information will be helpful for Olympiad questions developers and the participants\u2019 coaches.<\/p>\n

Keywords:<\/em>\u00a0financial literacy; Olympiad; mathematical methods; financial mathematics; actuarial mathematics<\/p>\n

1) Rosen Nikolaev, 2) Sava Grozdev, 3) Bogdana Koneva,<\/strong>
\n3) Maria Shabanova, 3) Nina Patronova<\/strong>
\n1) Varna University of Economics - Bulgaria<\/em>
\n2) University of Finance, Business Entrepreneurship<\/em>
\n3) Northern (Arctic) Federal University named after M.V. Lomonosov<\/em><\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

\n

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

Contest Problems of this Issue<\/h3>\n

Contest Problems<\/em>
\nVeselin Nenkov<\/strong><\/p>\nLog in to read the full text<\/a>\n

Solutions of the Contest Problems from Issue 1, 2019<\/h3>\n

Contest Problems<\/em>
\nVeselin Nenkov<\/strong><\/p>\nLog in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"

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In […]<\/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":[3732],"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 6\/2019, \u0433\u043e\u0434\u0438\u043d\u0430 LXII - \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:\/\/mathinfo.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-6-2019-godina-lxii\/\" \/>\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 6\/2019, \u0433\u043e\u0434\u0438\u043d\u0430 LXII - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"\u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u0418 \u0421\u0422\u0410\u0422\u0418\u0418 Discrete Mathematics and Programming \u2013 Teaching and Learning Approaches Abstract.\u00a0Discrete mathematics is one of the most important parts of the introduction to programming. Although known as the basis of writing good software and its usage is necessary, the students have many difficulties while gaining the competency to apply it in software projects. 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