{"id":74754,"date":"2021-10-21T17:02:49","date_gmt":"2021-10-21T14:02:49","guid":{"rendered":"https:\/\/azbuki.bg\/?p=74754"},"modified":"2025-09-16T15:37:32","modified_gmt":"2025-09-16T12:37:32","slug":"sp-matematika-i-informatika-knizhka-5-2021-godina-lxiv","status":"publish","type":"post","link":"https:\/\/strategies.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2021-g\/sp-matematika-i-informatika-knizhka-5-2021-godina-lxiv\/","title":{"rendered":"Mathematics and Informatics, Number 5\/2021, Volume 64"},"content":{"rendered":"<h4><span style=\"color: #808080;\"><strong>EDUCATIONAL MATTERS<\/strong><\/span><\/h4>\n<h3>The Benefits Of Collaborative Learning In Examining Functions With Parameters In Dynamic Software Environment<\/h3>\n<p><strong>Radoslav Bozic 1), Djurdjica Takaci 2)<\/strong><br \/>\n<em>1)Educons University \u2013 Novi Sad (Serbia)<\/em><br \/>\n<em>2)University of Novi Sad (Serbia)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-1-the\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-1-the<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this paper the efficiency of collaborative learning of functions, of the functions with parameters, in GeoGebra environment is analyzed. The research was conducted during the calculus course at the University of Novi Sad, Serbia, with the students with two groups of students, major physics and chemistry.<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/the-benefits-of-collaborative-learning-in-examining-functions-with-parameters-in-dynamic-software-environment\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Some Methodological Guidelines on the Creation of Educational Games on \u201cComputer Modeling\u201d<\/h3>\n<p><strong>Krasimir Harizanov<\/strong><br \/>\n<em>Konstantin Preslavsky University of Shumen (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-6-som\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-6-som<\/a><\/p>\n<p><strong>Abstract.<\/strong> In the present study some ideas related to the development of educational games in the classes of &#8222;Computer Modeling&#8220; are presented.<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/some-methodological-guidelines-on-the-creation-of-educational-games-on-computer-modeling\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<h4><\/h4>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Preparation for the XXV Youth Balkaniade in Mathematics 2021<\/h3>\n<p><strong>1) Ivaylo Kortezov, Emil Karlov, Miroslav Marinov <\/strong><br \/>\n<em>1) Institute of Mathematics and Informatics \u2013 BAS<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-2-pod\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-2-pod<\/a><\/p>\n<p><strong>Abstract.<\/strong> The paper contains the team selection tests for the team of Bulgaria at the Junior Balkan Math Olympiad 2021 as well as an overview of the team results...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/podgotovka-za-xxv-mladezhka-balkaniada-po-matematika-2021\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h4><\/h4>\n<h4><\/h4>\n<hr \/>\n<h4><span style=\"color: #808080;\"><strong>EDUCATIONAL TECHNOLOGIES<\/strong><\/span><\/h4>\n<h3>Excel\u2019s Calculation Of Basic Assets Amortisation Values<\/h3>\n<p><strong>Vehbi Ramaj 1), Sead Re\u0161i\u0107 2), Anes Z. Had\u017eiomerovi\u0107 3),<\/strong><br \/>\n<strong>Samira Aganovi\u0107 2)<\/strong><br \/>\n<em>1)University of \u201cHaxhi Zeka\u201d \u2013 Peja (Kosovo)<\/em><br \/>\n<em>2)University of Tuzla (Bosnia and Herzegovina)<\/em><br \/>\n<em>3)Second Gymnasium Mostar (Bosnia and Herzegovina)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-4-exs\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-4-exs<\/a><\/p>\n<p><strong>Abstract.<\/strong> For Excel\u2019s calculation of basic (fixed) assets amortisation values, the investigated economic and mathematical foundation with required values and their relations were used&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/excels-calculation-of-basic-assets-amortisation-values\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h4><strong><span style=\"color: #808080;\">EDUCATIONAL ISSUES<\/span><\/strong><\/h4>\n<h3>Augmented Reality in Online Teacher Training for Digital Competence<\/h3>\n<p><strong>Evgenia Goranova, Valentina Voinohovska<\/strong><br \/>\n<em>\"Angel Kanchev\", University of Ruse (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-5-dob\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-5-dob<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article presents an approach applied in the online training of pre-service teachers to acquire digital competence. The content of the concept of \u2018digital competence\u2019 in its sustainable and variable component is clarified...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/dobavena-realnost-pri-onlajn-obuchenieto-na-uchiteli-za-pridobivane-na-digitalna-kompetentnost\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Educational Environment As A Form For Development Of Math Teachers Methodological Competence<\/h3>\n<p><strong>1) Olha Matiash, 1) Liubov Mykhailenko,<\/strong><br \/>\n<strong>2) Vasyl Shvets, 2) Oleksandr Shkolnyi<\/strong><br \/>\n<em>1)Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University \u2013 Vinnytsia (Ukraine)<\/em><br \/>\n<em>2)National Pedagogical Dragomanov University \u2013 Kyiv (Ukraine)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-7-edu\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-7-edu<\/a><\/p>\n<p><strong>Abstract.<\/strong> The problem of forming the professional competencies of a math teacher in the process of his (her) training at the pedagogical university and in the system of continuing education is extremely relevant not only in Ukraine but also abroad&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/educational-environment-as-a-form-for-development-of-math-teachers-methodological-competence\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Organizational Model for Pedagogical Practices of Informatics and IT<\/h3>\n<p><strong>Philip Petrov<\/strong><br \/>\n<em>Sofia University<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-8-org\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-8-org<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article presents the current standards for pedagogical practices for the subjects Informatics and Informational Technologies for students in Sofia University \u201cSt. Kliment Ohridski\u201d and the evaluation criteria for them...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/organizaczionen-model-za-provezhdane-na-hospitirane-i-tekushha-pedagogicheska-praktika-po-informatika-i-it\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h4><span style=\"color: #808080;\"><strong>Problems and Solutions of this Issue<\/strong><\/span><\/h4>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-9-kon\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-9-kon<\/a><\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/konkursni-zadachi-broj-5-2021-g\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h3><span style=\"color: #808080;\"><strong>Solutions of problems from issue 4, 2021<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-5-3-res\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-5-3-res<\/a><\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/resheniya-na-konkursni-zadachi-broj-4-2021-g\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p style=\"text-align: right;\">","protected":false},"excerpt":{"rendered":"<p>\u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u0418 \u0421\u0422\u0410\u0422\u0418\u0418 The Benefits Of Collaborative Learning In Examining Functions With Parameters In Dynamic Software Environment Radoslav Bozic 1), Djurdjica Takaci 2) 1)Educons University \u2013 Novi Sad (Serbia) 2)University of Novi Sad (Serbia) https:\/\/doi.org\/10.53656\/math2021-5-1-the Abstract. In this paper the efficiency of collaborative learning of functions, of the functions with parameters, in GeoGebra environment is analyzed. [&hellip;]<\/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":{"source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"template":"1","single_blog_custom":"","parallax":"0","fullscreen":"0","layout":"right-sidebar","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_zoom_button":"1","zoom_button_out_step":"2","zoom_button_in_step":"3","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":"","sponsored_post":"0","sponsored_post_label":"Sponsored by","sponsored_post_name":"","sponsored_post_url":"","sponsored_post_logo_enable":"0","sponsored_post_logo":"","sponsored_post_desc":"","disable_ad":"0"},"jnews_primary_category":{"id":"","hide":""}},"categories":[4113],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\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\/2021, \u0433\u043e\u0434\u0438\u043d\u0430 LXIV - \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:\/\/philosophy.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2021-g\/sp-matematika-i-informatika-knizhka-5-2021-godina-lxiv\/\" \/>\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\/2021, \u0433\u043e\u0434\u0438\u043d\u0430 LXIV - \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 The Benefits Of Collaborative Learning In Examining Functions With Parameters In Dynamic Software Environment Radoslav Bozic 1), Djurdjica Takaci 2) 1)Educons University \u2013 Novi Sad (Serbia) 2)University of Novi Sad (Serbia) https:\/\/doi.org\/10.53656\/math2021-5-1-the Abstract. 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