{"id":149030,"date":"2025-04-04T11:51:59","date_gmt":"2025-04-04T08:51:59","guid":{"rendered":"https:\/\/azbuki.bg\/?p=149030"},"modified":"2025-04-04T11:51:59","modified_gmt":"2025-04-04T08:51:59","slug":"educational-resources-for-studying-midsegment-of-triangle-and-trapezoid","status":"publish","type":"post","link":"https:\/\/press.azbuki.bg\/en\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/","title":{"rendered":"Educational Resources for Studying Midsegment of Triangle and Trapezoid"},"content":{"rendered":"<p><strong>Toni Chehlarova 1), Neda Chehlarova 2), Georgi Gachev 1)<\/strong><br \/>\n<em>1)Institute of Mathematics and Informatics,<\/em><br \/>\n<em>Bulgarian Academy of Sciences (Bulgaria)<\/em><br \/>\n<em>2)Institute of Robotics \u201cSt. Ap. and Gospeller Matthew\u201d<\/em><br \/>\n<em>Bulgarian Academy of Sciences (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-4-edu\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-4-edu<\/a><\/p>\n<p><strong>Abstract.<\/strong> Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described. Variants of dynamic constructions are considered, in support of characterization studies, as well as for the development of the eye-based proportion estimation. Files for 3D printing models when studying midsegments of triangles and trapezoids are presented. The 3D printed models can be used when working with people with visual impairments.<br \/>\n<em>Keywords:<\/em> digital competence; mathematical competence; educational computer models; additive manufacturing; 3D models; inquiry-based learning<\/p>\n<a href=\"https:\/\/press.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"<p>Toni Chehlarova 1), Neda Chehlarova 2), Georgi Gachev 1) 1)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria) 2)Institute of Robotics \u201cSt. Ap. and Gospeller Matthew\u201d Bulgarian Academy of Sciences (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-1-4-edu Abstract. Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described. Variants of dynamic constructions [&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":[1],"tags":[10670,10669,5633,10668,10671,10667],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Educational Resources for Studying Midsegment of Triangle and Trapezoid - \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:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Educational Resources for Studying Midsegment of Triangle and Trapezoid - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Toni Chehlarova 1), Neda Chehlarova 2), Georgi Gachev 1) 1)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria) 2)Institute of Robotics \u201cSt. Ap. and Gospeller Matthew\u201d Bulgarian Academy of Sciences (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-1-4-edu Abstract. Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described. Variants of dynamic constructions [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\" \/>\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=\"2025-04-04T08:51:59+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=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/azbuki.bg\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"Educational Resources for Studying Midsegment of Triangle and Trapezoid\",\"datePublished\":\"2025-04-04T08:51:59+00:00\",\"dateModified\":\"2025-04-04T08:51:59+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\"},\"wordCount\":154,\"publisher\":{\"@id\":\"https:\/\/azbuki.bg\/#organization\"},\"keywords\":[\"3D models\",\"additive manufacturing\",\"digital competence\",\"educational computer models\",\"inquiry-based learning\",\"mathematical competence\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\",\"url\":\"https:\/\/bel.azbuki.bg\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\",\"name\":\"Educational Resources for Studying Midsegment of Triangle and Trapezoid - 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Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described. 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