{"id":228851,"date":"2026-04-23T15:02:17","date_gmt":"2026-04-23T12:02:17","guid":{"rendered":"https:\/\/azbuki.bg\/?p=228851"},"modified":"2026-04-23T15:02:17","modified_gmt":"2026-04-23T12:02:17","slug":"design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning","status":"publish","type":"post","link":"https:\/\/bel.azbuki.bg\/en\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/","title":{"rendered":"DESIGN AND IMPLEMENTATION OF AUTO-VERIFYING GEOMETRY APPLETS FOR DIGITAL LEARNING"},"content":{"rendered":"<p><strong>Peter Vajo, Agnes Bazso, Daniel Toth<\/strong><br \/>\n<em>Department of Mathematics, J. Selye University (Slovakia)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-2-6-dia\">https:\/\/doi.org\/10.53656\/math2026-2-6-dia<\/a><\/p>\n<p><strong>Abstract.<\/strong> Dynamic Geometry Systems have advanced considerably in recent years, yet the lack of open-source solutions that can automatically<br \/>\nverify answers and provide feedback on geometric construction exercises still limits their wider use in education. This challenge arises from the inherent diculty of assessing complex geometric constructions with computational methods. GeoTry was designed to address this need as an interactive digital learning resource developed with GeoGebra. It supports both teachers and learners by automatically verifying geometric construction exercises and offering structured guidance based on P\u0001olya&#8217;s problem-solving approach. We investigate how automatic veri\u001ccation can be meaningfully embedded in geometric construction exercises, focusing on the underlying design principles and technical considerations.<br \/>\n<em>Keywords:<\/em> GeoGebra, geometric construction problems, interactive learning, automatic verication, scaolding, feedback<\/p>\n<p><a href=\"https:\/\/azbuki.bg\/wp-content\/uploads\/2026\/04\/math_2_2026_peter-vajo.pdf\">Open the full text<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Peter Vajo, Agnes Bazso, Daniel Toth Department of Mathematics, J. Selye University (Slovakia) https:\/\/doi.org\/10.53656\/math2026-2-6-dia Abstract. Dynamic Geometry Systems have advanced considerably in recent years, yet the lack of open-source solutions that can automatically verify answers and provide feedback on geometric construction exercises still limits their wider use in education. This challenge arises from the inherent [&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":[18039,6681,7598,18037,18038,18040],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>DESIGN AND IMPLEMENTATION OF AUTO-VERIFYING GEOMETRY APPLETS FOR DIGITAL LEARNING - \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:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"DESIGN AND IMPLEMENTATION OF AUTO-VERIFYING GEOMETRY APPLETS FOR DIGITAL LEARNING - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Peter Vajo, Agnes Bazso, Daniel Toth Department of Mathematics, J. Selye University (Slovakia) https:\/\/doi.org\/10.53656\/math2026-2-6-dia Abstract. Dynamic Geometry Systems have advanced considerably in recent years, yet the lack of open-source solutions that can automatically verify answers and provide feedback on geometric construction exercises still limits their wider use in education. This challenge arises from the inherent [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/\" \/>\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=\"2026-04-23T12:02:17+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:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"DESIGN AND IMPLEMENTATION OF AUTO-VERIFYING GEOMETRY APPLETS FOR DIGITAL LEARNING\",\"datePublished\":\"2026-04-23T12:02:17+00:00\",\"dateModified\":\"2026-04-23T12:02:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/\"},\"wordCount\":155,\"publisher\":{\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#organization\"},\"keywords\":[\"automatic verication\",\"feedback\",\"GeoGebra\",\"geometric construction problems\",\"interactive learning\",\"scaolding\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/\",\"url\":\"https:\/\/azbuki.bg\/uncategorized\/design-and-implementation-of-auto-verifying-geometry-applets-for-digital-learning\/\",\"name\":\"DESIGN AND IMPLEMENTATION OF AUTO-VERIFYING GEOMETRY APPLETS FOR DIGITAL LEARNING - 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