{"id":156126,"date":"2025-06-19T16:59:11","date_gmt":"2025-06-19T13:59:11","guid":{"rendered":"https:\/\/azbuki.bg\/?p=156126"},"modified":"2025-06-19T16:59:11","modified_gmt":"2025-06-19T13:59:11","slug":"enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks","status":"publish","type":"post","link":"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/","title":{"rendered":"Enchancing Visual Reasoning in Calculus: introducing a New Typology of Graphical Tasks"},"content":{"rendered":"<p><strong>Valentina Kostic<\/strong><strong><sup>1)<\/sup><\/strong><strong>,<\/strong> <strong>Tanja Sekulic<\/strong><strong><sup>2<\/sup><\/strong><strong><sup>)<\/sup><\/strong><\/p>\n<p><em><sup>1)<\/sup><\/em><em>Academy of Applied Technical and Preschool Studies Nis &#8211; Department Pirot (Serbia)<\/em><\/p>\n<p><em><sup>2<\/sup><\/em><em><sup>)<\/sup><\/em><em>Technical College of Applied Sciences in Zrenjanin (Serbia)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-2-4-evr\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-2-4-evr<\/a><\/p>\n<p><strong>Abstract.<\/strong> This paper emphasizes the introduction of the innovative typology of tasks in calculus education to enhance students\u2019 visual reasoning skills. The proposed typology includes graphical tasks that require students to engage with images to derive meanings, justify solutions, and foster a deeper conceptual understanding of function derivatives. By integrating these tasks, we aim to address the imbalances in mathematics education regarding traditional approach, which often favors algebraic over graphical representation. This new typology will help students develop a well-rounded understanding, bridging the gap between symbolic manipulation and graphical interpretation.<\/p>\n<p><em>Keywords<\/em><em>:<\/em> visualization; graphical tasks; calculus; derivative<\/p>\n<p>&nbsp;<\/p>\n<a href=\"https:\/\/vocedu.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"<p>Valentina Kostic1), Tanja Sekulic2) 1)Academy of Applied Technical and Preschool Studies Nis &#8211; Department Pirot (Serbia) 2)Technical College of Applied Sciences in Zrenjanin (Serbia) https:\/\/doi.org\/10.53656\/math2025-2-4-evr Abstract. This paper emphasizes the introduction of the innovative typology of tasks in calculus education to enhance students\u2019 visual reasoning skills. The proposed typology includes graphical tasks that require students [&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":[12076,12077,12075,12074],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Enchancing Visual Reasoning in Calculus: introducing a New Typology of Graphical Tasks - \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\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Enchancing Visual Reasoning in Calculus: introducing a New Typology of Graphical Tasks - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Valentina Kostic1), Tanja Sekulic2) 1)Academy of Applied Technical and Preschool Studies Nis &#8211; Department Pirot (Serbia) 2)Technical College of Applied Sciences in Zrenjanin (Serbia) https:\/\/doi.org\/10.53656\/math2025-2-4-evr Abstract. This paper emphasizes the introduction of the innovative typology of tasks in calculus education to enhance students\u2019 visual reasoning skills. The proposed typology includes graphical tasks that require students [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/\" \/>\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=\"2025-06-19T13:59:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/azbuki.bg\/wp-content\/uploads\/2025\/06\/s1.png\" \/>\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=\"18 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"Enchancing Visual Reasoning in Calculus: introducing a New Typology of Graphical Tasks\",\"datePublished\":\"2025-06-19T13:59:11+00:00\",\"dateModified\":\"2025-06-19T13:59:11+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/\"},\"wordCount\":2447,\"publisher\":{\"@id\":\"https:\/\/azbuki.bg\/en\/#organization\"},\"keywords\":[\"calculus\",\"derivative\",\"graphical tasks\",\"visualization\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/\",\"url\":\"https:\/\/azbuki.bg\/en\/uncategorized\/enchancing-visual-reasoning-in-calculus-introducing-a-new-typology-of-graphical-tasks\/\",\"name\":\"Enchancing Visual Reasoning in Calculus: introducing a New Typology of Graphical Tasks - 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