{"id":125603,"date":"2024-04-30T12:20:00","date_gmt":"2024-04-30T09:20:00","guid":{"rendered":"https:\/\/azbuki.bg\/?p=125603"},"modified":"2025-09-17T14:04:44","modified_gmt":"2025-09-17T11:04:44","slug":"sp-matematika-i-informatika-knizhka-2-2024-godina-lxvii","status":"publish","type":"post","link":"https:\/\/strategies.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2024-g\/sp-matematika-i-informatika-knizhka-2-2024-godina-lxvii\/","title":{"rendered":"Mathematics and Informatics, Number 2\/2024, Volume 67"},"content":{"rendered":"<h3>Properties and Conjectures Regarding Discrete Renewal Sequences<\/h3>\n<p><strong>Nikolai Nikolov, Mladen Savov<\/strong><br \/>\n<em>1) Institute of Mathematics and Informatics, <\/em><em>Bulgarian academy of Sciences (Bulgaria)<\/em><br \/>\n<em>2) University of Library Studies and Information Technologies (Bulgaria)<\/em><br \/>\n<em>3) Faculty of Mathematics and Informatics, <\/em><em>Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-2-1-pro\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-2-1-pro<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this work we review and derive some elementary properties of the discrete renewal sequences based on a positive, finite and integervalued random variable&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/properties-and-conjectures-regarding-discrete-renewal-sequences\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>On Integration of STEM Modules in Mathematics Education<\/h3>\n<p><strong>Elena Karashtranova 1), Aharon Goldreich 2), Nadezhda Borisova 1)<\/strong><br \/>\n<em>1) South-West University \u201cNeofit Rilski\u201d \u2013 Blagoevgrad (Bulgaria)<\/em><br \/>\n<em>2) Ministry of Education \u2013 Tel Aviv (Israel)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-2-2-oni\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-2-2-oni<\/a><\/p>\n<p><strong>Abstract.<\/strong> Student motivation has emerged as a major issue in mathematics education in recent years. Utilizing the capabilities of contemporary technology and the accessibility of a STEM environment is crucial for the creation and application of educational materials. Integration of the created resources will increase the interest of students to pursue in-depth studies of science and math&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/on-integration-of-stem-modules-in-mathematics-education\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Competences Formation through Problem-Based Learning<\/h3>\n<p><strong>Borislava Kirilova<\/strong><br \/>\n<em>Sofia University<\/em><br \/>\n<em>American College of Sofia<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-2-4-for\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-2-4-for<\/a><\/p>\n<p><strong>Abstract.<\/strong> The paper analyzes the benefits and opportunities for the successful integration of Problem-Based Learning (PrBL) during the mathematics classes in the first secondary\nschool stage in order to form and develop key competences as well as skills for life and work in the 21st century in the context of the\nStrategic Framework for the Development of Education, Training and Learning in the Republic of Bulgaria (2021 \u2013 2030). PrBL\nis discussed in the context of the competency-based approach that stimulates learners\u2019 interest, challenging them to apply the knowledge and skills acquired during mathematics education in real-life scenarios...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/formirane-na-kompetentnosti-chrez-problemno-bazirano-obuchenie\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Development of Digital Competencies in the Compulsory Education in Computer Model-\nling and Information Technology in Secondary School<\/h3>\n<p><strong>Temenuzhka Zafirova-Malcheva, Nikolina Nikolova, Pencho Mihnev<\/strong><br \/>\n<em>Sofia University<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-2-4-dev\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-2-4-dev<\/a><\/p>\n<p><strong>Abstract.<\/strong> The present study aims to identify the needs for updating the curriculum documentation and teaching content of Computer Modelling and Information Technology (CMIT) at the lower secondary stage and Information Technology (IT) at the upper secondary stage of education in Bulgaria...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/razvitie-na-digitalni-kompetentnosti-v-zadalzhitelnata-podgotovka-po-kompyutarno-modelirane-i-informaczionni-tehnologii-v-srednoto-uchilishhe\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Interactive Resources for Teaching\nthe Inversion Method for Construction Problems<\/h3>\n<p><strong>Tsvetelina Yordanova<\/strong><br \/>\n<em>Private School \u201dPitagor\u201d<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-2-5-int\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-2-5-int<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article presents a set of interactive resources with a dynamic geometry software which demonstrate the application of the inversion method in solving construction problems...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/interaktivni-uchebni-resursi-za-prepodavane-na-metoda-na-inversiyata-za-postroitelni-zadachi\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Investigation of the Relationship between\nPhonemic Composition and Emotional Valence of Text<\/h3>\n<p><strong>Velina Slavova, Filip Andonov<\/strong><br \/>\n<em>New Bulgarian University<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-2-6-inv\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-2-6-inv<\/a><\/p>\n<p><strong>Abstract.<\/strong> This paper is based on the results of published authorial research on the relationship between the sound composition of language and emotion, leading to the conclusions and generalizations drawn here...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/strategies.azbuki.bg\/en\/uncategorized\/izsledvane-na-vrazkata-mezhdu-fonemniya-sastav-i-emoczionalnata-valentnost-na-tekst\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Properties and Conjectures Regarding Discrete Renewal Sequences Nikolai Nikolov, Mladen Savov 1) Institute of Mathematics and Informatics, Bulgarian academy of Sciences (Bulgaria) 2) University of Library Studies and Information Technologies (Bulgaria) 3) Faculty of Mathematics and Informatics, Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria) https:\/\/doi.org\/10.53656\/math2024-2-1-pro Abstract. In this work we review and derive some elementary properties [&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":"1","fullscreen":"1","layout":"right-sidebar","sidebar":"default-sidebar","second_sidebar":"default-sidebar","sticky_sidebar":"1","share_position":"bottom","share_float_style":"share-monocrhome","show_share_counter":"1","show_view_counter":"1","show_featured":"0","show_post_meta":"1","show_post_author":"1","show_post_author_image":"1","show_post_date":"1","post_date_format":"custom","post_date_format_custom":"d-m-Y","show_post_category":"1","show_post_reading_time":"0","post_reading_time_wpm":"300","show_zoom_button":"1","zoom_button_out_step":"2","zoom_button_in_step":"3","show_post_tag":"1","show_prev_next_post":"1","show_popup_post":"1","number_popup_post":"3","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"crop-500","single_post_gallery_size":"crop-500"}],"trending_post":"0","trending_post_position":"meta","trending_post_label":"Trending","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":[5209],"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 2\/2024, \u0433\u043e\u0434\u0438\u043d\u0430 LXVII - \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\/sadarzhanie-na-sp-matematika-i-informatika-2024-g\/sp-matematika-i-informatika-knizhka-2-2024-godina-lxvii\/\" \/>\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 2\/2024, \u0433\u043e\u0434\u0438\u043d\u0430 LXVII - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Properties and Conjectures Regarding Discrete Renewal Sequences Nikolai Nikolov, Mladen Savov 1) Institute of Mathematics and Informatics, Bulgarian academy of Sciences (Bulgaria) 2) University of Library Studies and Information Technologies (Bulgaria) 3) Faculty of Mathematics and Informatics, Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria) https:\/\/doi.org\/10.53656\/math2024-2-1-pro Abstract. 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