{"id":161335,"date":"2025-08-08T14:29:14","date_gmt":"2025-08-08T11:29:14","guid":{"rendered":"https:\/\/azbuki.bg\/?p=161335"},"modified":"2026-01-27T13:43:05","modified_gmt":"2026-01-27T11:43:05","slug":"sp-matematika-i-informatika-knizhka-3-2025-godina-lxviii","status":"publish","type":"post","link":"https:\/\/science.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-3-2025-godina-lxviii\/","title":{"rendered":"Mathematics and Informatics, Number 3\/2025, Volume 68"},"content":{"rendered":"<h3>Models of Sample Spaces in Olympiad Problems<\/h3>\n<p><strong>Dragomir Grozev, Stanislav Harizanov<\/strong><br \/>\n<em>Institute of Mathematics and Informatics<\/em><br \/>\n<em>Bulgarian Academy of Sciences (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-3-1-mss\">https:\/\/doi.org\/10.53656\/math2025-3-1-mss<\/a><\/p>\n<p><strong>Abstract<\/strong>. Applications of the probabilistic method in combinatorial problems are shown. In most sources, the construction of the corresponding sample space is natural and trivial and as a result, the existence of certain objects is proven...<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/modeli-na-veroyatnostni-prostranstva-v-olimpiadni-zadachi\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Statistical Analysis of Academic Achievement and Intrinsic Motivation in STEM Students \u0415ducated through a Competency-based Approach<\/h3>\n<p><strong>Muharem Mollov<sup>1)<\/sup>, Dimitar Stoitsov<sup>1)<\/sup>, Gencho Stoits\u043ev<sup>1)<\/sup><\/strong><\/p>\n<p><em><sup>1) <\/sup><\/em><em>Paisii Hilendarski University \u2013 Plovdiv (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-3-2-saa\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-3-2-saa<\/a><\/p>\n<p><strong>Abstract.<\/strong> This study explores the impact of Competency-Based Education (CBE) on students&#8217; academic performance in selected STEM disciplines and on their intrinsic motivation. In the context of growing interest in STEM (Science, Technology, Engineering, and Mathematics), the research examines whether the implementation of CBE can enhance student achievement and foster deeper motivation. &#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/statistical-analysis-of-academic-achievement-and-intrinsic-motivation-in-stem-students-educated-through-a-competency-based-approach\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>A Model Approach to the Application of Artificial Intelligence and Project-based Method in Mathematics Education<\/h3>\n<p><strong>Ivelina Velcheva<sup>1)<\/sup>, Irina Kartaleva<sup>2<\/sup><\/strong><strong><sup>)<\/sup><\/strong><\/p>\n<p><em><sup>1)<\/sup><\/em><em>Paisii Hilendarski<\/em> <em>University of Plovdiv<\/em><em> \u2013<\/em><em> Plovdiv (Bulgaria)<\/em><\/p>\n<p><em><sup>2<\/sup><\/em><em><sup>)<\/sup><\/em><em>FEG \u201cAntoine de Saint Exupery\u201d<\/em> <em>\u00a0Plovdiv (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-3-3\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-3-3<\/a><\/p>\n<p><strong>Abstract<\/strong><strong>.<\/strong> The present study is dedicated to describing a sample approach for integrating digital tools powered by artificial intelligence (AI) and project-based method in mathematics education. Numerous studies have demonstrated the significant potential of AI to revolutionize mathematics teaching and learning, while also highlighting the importance of addressing the associated challenges to ensure its effective and responsible implementation in the educational process...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/primeren-podhod-za-prilozhenie-na-izkustven-intelekt-i-proektna-dejnost-v-obuchenieto-po-matematika\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Combinatorial Problems using Square and Triangular Grids with StruniMa and Geogebra<\/h3>\n<p><strong>Mladen Valkov<sup>1)<\/sup><\/strong><\/p>\n<p><em><sup>1)<\/sup><\/em><em>Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-3-4-cpu\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-3-4-cpu<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this article we look at digital systems as Geogebra and StruniMa, with which some mathematical problems with square and triangular sets can be investigated...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/kombinatorni-zadachi-varhu-kvadratni-i-triagalni-mrezhi-sas-strunima-i-geogebra\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>The Impact of Teachers\u2019 Gender, Education, and Experience on Fostering Mathematical Creativity: a Quantitative Study<\/h3>\n<p><strong>Sultan Kowkas<sup>1)<\/sup>, Saida Affouneh<sup>2)<\/sup>, Daniel Burgos<sup>3)<\/sup><\/strong><\/p>\n<p><em><sup>1)<\/sup><\/em><em>An-Najah National University, Nablus, Palestine<\/em><em> (West Bank)<\/em><\/p>\n<p><em><sup>2)<\/sup><\/em><em>An-Najah National University, Nablus, Palestine<\/em><em> (West Bank)<\/em><\/p>\n<p><em><sup>3)<\/sup><\/em><em>International University of La Rioja, Logro\u00f1o, Spain<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-3-5-itg\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-3-5-itg<\/a><\/p>\n<p><strong>Abstract.<\/strong> Mathematics education increasingly embraces creativity as a\u2002necessary element in the growth of students\u2019 problem-solving and critical-thinking skills. This study investigates how teachers\u2019 demographics (including gender, educational level, and experience) influence their practices in\u00a0\u00a0 promoting students\u2019 mathematical creativity (MC) in Palestinian eighth- and ninth-grade classrooms&#8230;.<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/the-impact-of-teachers-gender-education-and-experience-on-fostering-mathematical-creativity-a-quantitative-study\/\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>\u041c\u043e\u0434\u0435\u043b\u0438 \u043d\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u0438 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0432 \u043e\u043b\u0438\u043c\u043f\u0438\u0439\u0441\u043a\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0414\u0440\u0430\u0433\u043e\u043c\u0438\u0440 \u0413\u0440\u043e\u0437\u0435\u0432, \u0421\u0442\u0430\u043d\u0438\u0441\u043b\u0430\u0432 \u0425\u0430\u0440\u0438\u0437\u0430\u043d\u043e\u0432, \u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0411\u044a\u043b\u0433\u0430\u0440\u0441\u043a\u0430 \u0430\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u043d\u0430 \u043d\u0430\u0443\u043a\u0438\u0442\u0435 https:\/\/doi.org\/10.53656\/math2025-3-1-mss \u0420\u0435\u0437\u044e\u043c\u0435. \u041f\u043e\u043a\u0430\u0437\u0430\u043d\u0438 \u0441\u0430 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u0438\u044f \u043c\u0435\u0442\u043e\u0434 \u0432 \u043a\u043e\u043c\u0431\u0438 \u043d\u0430\u0442\u043e\u0440\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438. \u0412 \u043f\u043e\u0432\u0435\u0447\u0435\u0442\u043e \u0438\u0437\u0442\u043e\u0447\u043d\u0438\u0446\u0438 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u0438\u0440\u0430\u043d\u0435\u0442\u043e \u043d\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u0435 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u0435\u043d\u043e \u0438 \u0442\u0440\u0438\u0432\u0438\u0430\u043b\u043d\u043e \u0438 \u043a\u0430\u0442\u043e \u0441\u043b\u0435\u0434\u0441\u0442\u0432\u0438\u0435 \u0441\u0435 \u0434\u043e\u043a\u0430\u0437\u0432\u0430 \u0441\u044a\u0449\u0435\u0441\u0442\u0432\u0443\u0432\u0430\u043d\u0435 \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438 \u043e\u0431\u0435\u043a\u0442\u0438&#8230;. \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415 &nbsp; [&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":[],"jnews_primary_category":[]},"categories":[10650],"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 3\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII - \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\" 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