{"id":731,"date":"2025-06-18T22:58:23","date_gmt":"2025-06-18T20:58:23","guid":{"rendered":"http:\/\/blogs.sonia.de\/sefi25\/?page_id=731"},"modified":"2025-06-18T23:01:11","modified_gmt":"2025-06-18T21:01:11","slug":"pbl-in-the-teaching-of-differential-equations-from-bachelor-to-engineer","status":"publish","type":"page","link":"https:\/\/blogs.sonia.de\/sefi25\/pbl-in-the-teaching-of-differential-equations-from-bachelor-to-engineer\/","title":{"rendered":"PBL In The Teaching Of Differential Equations From Bachelor To Engineer"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><em>Jana Gabkov\u00e1<\/em><br>jana.gabkova@stuba.sk <br>Slovak University of Technology in Bratislava <\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Abstract<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Paper will present the use of the PBL active learning method in the teaching of Differential equations from bachelor to engineering study programmes at the Faculty of Mechanical Engineering of the Slovak University of Technology in Bratislava. PBL is an educational approach that focuses on using real-world problems to support student learning. Therefore, we want to emphasize its importance in teaching Mathematics \u2013 why we need it, in which mathematical subjects we can use it, how to incorporate PBL into mathematics teaching, where we can find it, what can students use to solve PBL, and how we want to proceed with PBL further.  <br>The paper is concluded with a demonstration of one PBL used in two mathematics subjects at the bachelor\u00b4s degree in the subject Applied Mathematics at the master\u00b4s degree of study. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Keywords<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Active learning methods, PBL, mathematics, teaching of mathematics, differential equations.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>References <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Enomoto Kayoko, Warner Richard, Nygaard. (2022). Active Learning in Higher Education: Student Engagement and Deeper Learning Outcomes. Libri Publishing. <br>Gabkov\u00e1, J. (2007). \u201eRie\u0161enie pohybov\u00fdch rovn\u00edc pre \u0161tvrtinov\u00fd model automobilu v programovom syst\u00e9me Mathematica\u201c. In 26th International Colloquium on the Management of Educational Process : Proceedings of abstracts and electronic version of reviewed contributions on CD-Rom. &#8211; Brno, May 22, 2007. Brno : University of Defence, 2008, s.CD Rom. ISBN 978-80-7231-511-6 <span><a href=\"\"><img decoding=\"async\" title=\"Add to Citavi project by ISBN\" class=\"citavipicker\" src=\"image\/svg+xml;base64,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\" style=\"border: 0px none!important;width: 16px!important;height: 16px!important;margin-left:1px !important;margin-right:1px !important\"><\/a><\/span> <br>J. Gabkov\u00e1, P. Letavaj, D. Velichov\u00e1, (2022). &#8222;Case study from Slovak University of Technology in Bratislava&#8220;, Open Education Studies 2022; 4(1): 35-61, de Gruyter, 2022. Retrieved from https:\/\/doi.org\/10.1515\/edu-2022-0003e <span><a href=\"\"><img decoding=\"async\" title=\"Add to Citavi project by DOI\" class=\"citavipicker\" src=\"image\/svg+xml;base64,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\" style=\"border: 0px none!important;width: 16px!important;height: 16px!important;margin-left:1px !important;margin-right:1px !important\"><\/a><\/span>. <br>Starek, L. (2009). Kmitanie s riaden\u00edm. Vydavate\u013estvo STU, Bratislava <\/p>\n<div class=\"fcbkbttn_buttons_block\" id=\"fcbkbttn_left\"><\/div>","protected":false},"excerpt":{"rendered":"<p>Jana Gabkov\u00e1jana.gabkova@stuba.sk Slovak University of Technology in Bratislava Abstract Paper will present the use of the PBL active learning method in the teaching of Differential equations from bachelor to engineering study programmes at the Faculty of Mechanical Engineering of the Slovak University of Technology in Bratislava. PBL is an educational approach that focuses on using &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/blogs.sonia.de\/sefi25\/pbl-in-the-teaching-of-differential-equations-from-bachelor-to-engineer\/\" class=\"more-link\"><span class=\"screen-reader-text\">\u201ePBL In The Teaching Of Differential Equations From Bachelor To Engineer\u201c <\/span>weiterlesen<\/a><\/p>\n","protected":false},"author":76,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-731","page","type-page","status-publish","hentry"],"jetpack_shortlink":"https:\/\/wp.me\/PfFxp7-bN","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/pages\/731","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/users\/76"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/comments?post=731"}],"version-history":[{"count":2,"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/pages\/731\/revisions"}],"predecessor-version":[{"id":733,"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/pages\/731\/revisions\/733"}],"wp:attachment":[{"href":"https:\/\/blogs.sonia.de\/sefi25\/wp-json\/wp\/v2\/media?parent=731"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}