{"id":224532,"date":"2026-03-05T14:19:22","date_gmt":"2026-03-05T12:19:22","guid":{"rendered":"https:\/\/azbuki.bg\/?p=224532"},"modified":"2026-03-10T11:37:58","modified_gmt":"2026-03-10T09:37:58","slug":"mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution","status":"publish","type":"post","link":"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/","title":{"rendered":"Mathematical Modelling in the Computation of Volumes of Solids of Revolution"},"content":{"rendered":"<p><strong>Radoslav Bo\u017ei\u0107 1), Milenkovi\u0107 Aleksandar 2), Mitrovi\u0107 Sla\u0111ana 3)<\/strong><br \/>\n1)Educons University, Faculty of Teacher Training, Novi Sad (Serbia)<br \/>\n2)University of Kragujevac, Faculty of Science, Kragujevac (Serbia)<br \/>\n3)University of Novi Sad, Faculty of Science, Novi Sad, Serbia<\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-3-mmc\">https:\/\/doi.org\/10.53656\/math2026-1-3-mmc<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this paper, the influence of the mathematical modelling approach in computer-supported collaborative learning (CSCL final) on students\u2019 knowledge of calculus contents, particularly the application of definite integral, is examined. The research was conducted with the final-grade students at the grammar school. Two groups of the students, the experimental and the control one, were observed. Both the groups learned in CSCL environment, while in the experimental group, mathematical modelling was applied. The work of the experimental group students during the whole mathematical modelling process was monitored and analyzed. Some examples of the students\u2019 solutions are described. After the learning process of the integral contents, the students\u2019 learning achievements were tested and compared. The results indicate that the use of mathematical modelling increases the students\u2019 interest in solving the definite integral application problems. It is proved that the students who applied modelling process had better results than the students who did not.<\/p>\n<p><em>Keywords:<\/em> Calculus, Constructivism, Definite integral, Mathematical modelling, volume<\/p>\n<p><a href=\"https:\/\/azbuki.bg\/wp-content\/uploads\/2026\/03\/matematika_01_2026_radslav-bozic-1.pdf\" target=\"_blank\" rel=\"noopener\">>> Download the article as a PDF file <<<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Radoslav Bo\u017ei\u0107 1), Milenkovi\u0107 Aleksandar 2), Mitrovi\u0107 Sla\u0111ana 3) 1)Educons University, Faculty of Teacher Training, Novi Sad (Serbia) 2)University of Kragujevac, Faculty of Science, Kragujevac (Serbia) 3)University of Novi Sad, Faculty of Science, Novi Sad, Serbia https:\/\/doi.org\/10.53656\/math2026-1-3-mmc Abstract. In this paper, the influence of the mathematical modelling approach in computer-supported collaborative learning (CSCL final) on [&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":[12076,16876,16877,11310,16878],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mathematical Modelling in the Computation of Volumes of Solids of Revolution - \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\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematical Modelling in the Computation of Volumes of Solids of Revolution - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Radoslav Bo\u017ei\u0107 1), Milenkovi\u0107 Aleksandar 2), Mitrovi\u0107 Sla\u0111ana 3) 1)Educons University, Faculty of Teacher Training, Novi Sad (Serbia) 2)University of Kragujevac, Faculty of Science, Kragujevac (Serbia) 3)University of Novi Sad, Faculty of Science, Novi Sad, Serbia https:\/\/doi.org\/10.53656\/math2026-1-3-mmc Abstract. In this paper, the influence of the mathematical modelling approach in computer-supported collaborative learning (CSCL final) on [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\" \/>\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=\"2026-03-05T12:19:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-10T09:37:58+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\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"Mathematical Modelling in the Computation of Volumes of Solids of Revolution\",\"datePublished\":\"2026-03-05T12:19:22+00:00\",\"dateModified\":\"2026-03-10T09:37:58+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\"},\"wordCount\":224,\"publisher\":{\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#organization\"},\"keywords\":[\"calculus\",\"Constructivism\",\"Definite integral\",\"Mathematical Modelling\",\"volume\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\",\"url\":\"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\",\"name\":\"Mathematical Modelling in the Computation of Volumes of Solids of Revolution - 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In this paper, the influence of the mathematical modelling approach in computer-supported collaborative learning (CSCL final) on [&hellip;]","og_url":"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/","og_site_name":"\u0410\u0437-\u0431\u0443\u043a\u0438","article_publisher":"https:\/\/www.facebook.com\/Azbuki55\/","article_published_time":"2026-03-05T12:19:22+00:00","article_modified_time":"2026-03-10T09:37:58+00:00","author":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","twitter_card":"summary_large_image","twitter_misc":{"Written by":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/#article","isPartOf":{"@id":"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/"},"author":{"name":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","@id":"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd"},"headline":"Mathematical Modelling in the Computation of Volumes of Solids of Revolution","datePublished":"2026-03-05T12:19:22+00:00","dateModified":"2026-03-10T09:37:58+00:00","mainEntityOfPage":{"@id":"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/"},"wordCount":224,"publisher":{"@id":"https:\/\/vocedu.azbuki.bg\/en\/#organization"},"keywords":["calculus","Constructivism","Definite integral","Mathematical Modelling","volume"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/","url":"https:\/\/azbuki.bg\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/","name":"Mathematical Modelling in the Computation of Volumes of Solids of Revolution - 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