{"id":165981,"date":"2025-09-25T16:14:00","date_gmt":"2025-09-25T13:14:00","guid":{"rendered":"https:\/\/azbuki.bg\/?p=165981"},"modified":"2025-10-06T09:48:14","modified_gmt":"2025-10-06T06:48:14","slug":"sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii","status":"publish","type":"post","link":"https:\/\/bel.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/","title":{"rendered":"Mathematics and Informatics, Number 4\/2025, Volume 68"},"content":{"rendered":"

A Generalization of the Collinearity of the Stereographic Projection around the Lemoine Point<\/h3>\n

Vladislav Natchev<\/strong>
\nAmerican College of Sofia (Bulgaria)<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2025-4-1-gcs<\/a><\/p>\n

Abstract.<\/strong> Under stereographic projection, the projection point is collinear with the Lemoine points of the projection and the projected triangles or with the centers of their Apollonian circles (Natchev 2025)…<\/p>\n

SEE MORE<\/a><\/p>\n

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Competency Models for Studying Numerical Sets<\/h3>\n

Desislava Georgieva
\n<\/strong>Faculty of Mathematics and Informatics, \u201eSt. Cyril and St. Methodius\u201c University of Veliko Tarnovo<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2025-4-2-cms<\/a><\/p>\n

Abstract<\/strong>.<\/strong> The study presents a study aimed at expanding students' mathematical competence in studying the concept of number and related concepts...<\/p>\n

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Improving Students\u2019 Mathematical Competences through Project-based Learning Activities<\/h3>\n

Veritsa Arsov
\n<\/strong>South-West University \u201cNeofit Rilski\u201d\nBlagoevgrad, Bulgaria<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2025-4-3-ism<\/a><\/p>\n

Abstract<\/strong>.<\/strong> In the modern Bulgarian school of the 21st century, the issue of using innovative strategies for teaching students from the initial stage of primary education is increasingly being addressed...<\/p>\n

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Educational Resources with Percentages for the Development of the Visual Estimation<\/h3>\n

Toni Chehlarova
\n<\/strong>Institute of Mathematics and Informatics, Bulgarian Academy of Science (Bulgaria)<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2025-4-4-erp<\/a><\/p>\n

Abstract.<\/strong> Computer models of tasks related to percentage are presented. The files are created with the dynamic software GeoGebra and are provided in the Virtual Mathematics Laboratory, developed by the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences…<\/p>\n

SEE MORE<\/a><\/p>\n

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The Impact of Using GeoGebra on Understanding Quadratic Functions and Equations for Tenth-Grade Students<\/h3>\n

Er\u00ebmir\u00eb R. Aliu, Shp\u00ebtim Rexhepi, and Egzona Iseni
\n<\/strong>Mother<\/em> Teresa University, Skopje, North Macedonia<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2025-4-5-iug<\/a><\/p>\n

Abstract.<\/strong> This study explores the impact of mathematical software, specifically GeoGebra, on tenth-grade students’ understanding of quadratic equations and functions. The research was conducted in two classes with similar academic levels: one class (X\/3) was taught using traditional methods, while the other (X\/4) integrated mathematical software into the learning process…<\/p>\n

SEE MORE<\/a><\/p>\n

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 <\/p>\n

Bridging the Gap: A Pedagogical Tool for Teaching Mathematical Modeling with Spreadsheets<\/h3>\n

D\u00e1vid Paksi1)<\/sup>, M\u00e1rk Cs\u00f3ka1)<\/sup>, Szil\u00e1rd Svitek2)
\n<\/sup><\/strong>1)<\/sup><\/em>Department of Informatics, J. Selye University \u2013 Kom\u00e1rno (Slovakia)
\n2)<\/sup>Department of Mathematics, J. Selye University \u2013 Kom\u00e1rno (Slovakia)<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2025-4-6-bgp<\/a><\/p>\n

Abstract<\/strong>. The widespread use of information and communication technologies (ICT) offers new opportunities in many topics of mathematics education…<\/p>\n

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

A Generalization of the Collinearity of the Stereographic Projection around the Lemoine Point Vladislav Natchev American College of Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-4-1-gcs Abstract. Under stereographic projection, the projection point is collinear with the Lemoine points of the projection and the projected triangles or with the centers of their Apollonian circles (Natchev 2025)… \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415     […]<\/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":"\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 4\/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\" href=\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/\" \/>\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 4\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"A Generalization of the Collinearity of the Stereographic Projection around the Lemoine Point Vladislav Natchev American College of Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-4-1-gcs Abstract. Under stereographic projection, the projection point is collinear with the Lemoine points of the projection and the projected triangles or with the centers of their Apollonian circles (Natchev 2025)… \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415     […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/\" \/>\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=\"2025-09-25T13:14:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-06T06:48:14+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=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#\/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 4\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII\",\"datePublished\":\"2025-09-25T13:14:00+00:00\",\"dateModified\":\"2025-10-06T06:48:14+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/\"},\"wordCount\":419,\"publisher\":{\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#organization\"},\"articleSection\":[\"\u0421\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u043d\u0430 \u0441\u043f. \u201c\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201d, 2025 \u0433.\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/\",\"url\":\"https:\/\/science.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-4-2025-godina-lxviii\/\",\"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 4\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII - 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