{"id":62445,"date":"2019-10-14T17:02:10","date_gmt":"2019-10-14T14:02:10","guid":{"rendered":"https:\/\/azbuki.bg\/?p=62445"},"modified":"2025-07-07T11:24:36","modified_gmt":"2025-07-07T08:24:36","slug":"sp-matematika-i-informatika-knizhka-5-2019-godina-lxii","status":"publish","type":"post","link":"https:\/\/mathinfo.azbuki.bg\/en\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/","title":{"rendered":"Mathematics and Informatics, Number 5\/2019, Volume 62"},"content":{"rendered":"

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

Preparing Primary Junior Grade Teachers to Teach Computational Teaching: Experiences from the Glat Project<\/h3>\n

Natasa Hoic-Bozic
\n<\/strong>Darko Lon\u010dari\u0107
\n<\/strong>Martina Holenko Dlab
\n<\/strong>University of Rijeka (Croatia)<\/em><\/p>\n

Abstract.<\/strong> The paper presents results of a study conducted within the Erasmus+ project GLAT which promotes the integration of activities for developing computational thinking and programming skills into daily teaching in primary school. The aim of the study is to identify to what extent are primary school junior grade teachers from Croatia prepared for developing these skills among their classroom students. The results show that there is a need for teacher training programmes on applying methods, activities and ICT tools for developing computational thinking in everyday teaching practice.
\nKeywords:<\/em> computational thinking; digital games; GLAT project; ICT in education; primary junior grade teachers<\/p>\nLog in to read the full text<\/a>\n

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 <\/p>\n

Cloud Technologies Implementation in Secondary Education<\/h3>\n

Lyubka Slavova<\/strong>
\nKosta Garov<\/strong>
\nPlovdiv University \u201cPaisii Hilendarski\u201d (Bulgaria)<\/em><\/p>\n

Abstract.<\/strong> The current article is about the implementation of cloud technologies in secondary education in Bulgaria. An overview of the development and nature of cloud technologies is made. Practical experience is gained from the deployment of cloud technologies in a particular Bulgarian school. The use of cloud technologies facilitating the work of the school administration and increasing pupils\u2019 interest in the learning process, as well as their activity in the school, is shown.
\nKeywords:<\/em> cloud technologies; innovative technologies; secondary education; school administration; learning process<\/p>\nLog in to read the full text<\/a>\n

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Google Classroom \u2013 An Innovative Approach to a More Efficient Organization of Learning<\/h3>\n

Muharem Asanov Mollov<\/strong>
\n\u201cPaisii Hilendarski\u201d University of Plovdiv (Bulgaria)<\/em><\/p>\n

Abstract.<\/strong> The article presents a pedagogical study, proving the positive impact of Google Classroom on the learning motivation of secondary school students in a selected school, and the improved communication among the participants in the educational process.
\nKeywords:<\/em> Information Communication Technologies; Google ClassRoom; Education; Innovative school<\/p>\nLog in to read the full text<\/a>\n

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To Read or Interact with Textbooks \u2013 What is Better for Learners?<\/h3>\n

Gabriela Kiryakova<\/strong>
\nTrakia University \u2013 Stara Zagora (Bulgaria)<\/em><\/p>\n

Abstract.<\/strong> The introduction of digital technologies into education changes the medium and tools used to achieve the learning objectives. Traditional textbooks have to be adapted to suit to the needs and characteristics of the digital generation learners. Textbooks, combined with innovative technologies, are becoming a modern way for knowledge transfer. They engage learners and bring them new sensations and opportunities to interact with the content. The current paper presents the essence and benefits of augmented textbooks in education. An augmented textbook is presented as an example of effective use of modern technologies, combined with traditional training tools.
\nKeywords:<\/em> augmented textbooks; interactive books; augmented reality; digital learners<\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

\n

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

Deep Copy in C++ and Java<\/h3>\n

Hristina Kostadinova, Mariyana Raykova<\/strong>
\nNew Bulgarian University<\/em><\/p>\n

Abstract.<\/strong> The programme realization topic of the ways to copy cloning objects in object-oriented software projects is presented in the paper. The stress is on the subject of shallow and deep copy or the situations in which the copied objects have common resources with the original one. In many cases, programmers need to switch from one technology to another, which leads to the need of knowing the details of the implementation of a programme functionality in more than one programming languages. Different approaches for the implementation of the deep copy are demonstrated with examples in C++ and Java programming languages. Advantages and disadvantages of the presented methods are discussed.<\/p>\n

Keywords:<\/em> shallow copy; deep copy; C++; Java<\/p>\nLog in to read the full text<\/a>\n

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Polynomials with Roots in the Vertices of Medi-Tangential Polygons<\/h3>\n

1) Sava Grozdev, 2) Veselin Nenkov<\/strong>
\n1) University of Finance, Business and Entrepreneurship<\/em>
\n2)\u201cNikola Vaptsarov\u201d Naval Academy \u2013 Varna, Bulgaria<\/em><\/p>\n

Abstract.<\/strong> A geometric relation is derived concerning the roots of a special type polynomials of n -th degree and the roots of their derivatives.
\nKeywords:<\/em> polynomial, roots of polynomial, ellipse, focus, centre<\/p>\nLog in to read the full text<\/a>\n

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Algebraic Description of Pascal\u2019s Snails of Order n<\/h3>\n

Sergey Larin<\/strong>
\nSchool of Mathematics, Physics and Computer Technology<\/em>
\nKrasnoyarsk, Russia<\/em><\/p>\n

Abstract.<\/strong> As a generalization of the well-known concept of Pascal\u2019s snail for\ntwo circles a geometric notion of Pascal\u2019s snail of order n is introduced in the paper\nfor n circles. It is solved the problem of its algebraic description in the form of\na polynomial with complex coefficients under the condition that the module of\nthe complex variable is equal to 1. The role and importance of the information\ncomponent is demonstrated by an example of animation drawings in GeoGebra\nenvironment, which have been used during the experiments. Some of the\naccompanying proofs turn out to be obvious in verbal sense and the realibility of\nthe assertions is confirmed by animation drawing models.
\nKeywords:<\/em> animated drawings; GeoGebra environment; Pascal\u2019s snail; complex plane; transformation; polynomial<\/p>\nLog in to read the full text<\/a>\n

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Inquiry on Students\u2019 Opinion about the Quality of their Preparation in Mathematics and Information Technologies<\/h3>\n

Adelina Ivanova, Vladislav Todorov<\/strong>
\nFaculty of Business Management\nUniversity of Forestry\n1756 Sofia, Bulgaria<\/em><\/p>\n

Abstract.<\/strong> The present article aims at establishing some conclusions and summaries about the education quality in the Faculty of Business Management (FBM) with the University of Forestry (UF). The bachelor students\u2019 opinion is studied for the purpose concerning the level of their preparation in Mathematics and Information technologies (IT) as an element of the system of quality in UF. The summarized replies of the inquiry give a possibility to evaluate student\u2019s skills in applying mathematical methods and IT when mastering the curriculum of the disciplines from the educational plan of the FBM specialties. The results will help the improvement of the education quality in the faculty.
\nKeywords:<\/em> University of forestry; student; mathematics; information technologies<\/p>\nLog in to read the full text<\/a>\n

 <\/p>\n

\n

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

Contest Problems of this Issue<\/a> \u2013 page 573<\/p>\n

Solutions of the Contest Problems from Issue 6, 2018<\/a> \u2013 page 574<\/p>\n

 <\/p>","protected":false},"excerpt":{"rendered":"

\u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u0418 \u0421\u0422\u0410\u0422\u0418\u0418 Preparing Primary Junior Grade Teachers to Teach Computational Teaching: Experiences from the Glat Project Natasa Hoic-Bozic Darko Lon\u010dari\u0107 Martina Holenko Dlab University of Rijeka (Croatia) Abstract. The paper presents results of a study conducted within the Erasmus+ project GLAT which promotes the integration of activities for developing computational thinking and programming skills into […]<\/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 5\/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:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-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 5\/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 Preparing Primary Junior Grade Teachers to Teach Computational Teaching: Experiences from the Glat Project Natasa Hoic-Bozic Darko Lon\u010dari\u0107 Martina Holenko Dlab University of Rijeka (Croatia) Abstract. The paper presents results of a study conducted within the Erasmus+ project GLAT which promotes the integration of activities for developing computational thinking and programming skills into […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Azbuki55\/\" \/>\n<meta property=\"article:published_time\" content=\"2019-10-14T14:02:10+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-07T08:24:36+00:00\" \/>\n<meta name=\"author\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/azbuki.bg\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"\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 5\/2019, \u0433\u043e\u0434\u0438\u043d\u0430 LXII\",\"datePublished\":\"2019-10-14T14:02:10+00:00\",\"dateModified\":\"2025-07-07T08:24:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/\"},\"wordCount\":1095,\"publisher\":{\"@id\":\"https:\/\/azbuki.bg\/#organization\"},\"articleSection\":[\"\u0421\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u043d\u0430 \u0441\u043f. \\\"\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\\\", 2019 \u0433.\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/\",\"url\":\"https:\/\/newspaper.azbuki.bg\/matematics\/matharticles2016-4\/sp-matematika-i-informatika-knizhka-5-2019-godina-lxii\/\",\"name\":\"\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 5\/2019, \u0433\u043e\u0434\u0438\u043d\u0430 LXII - 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