Exploring the basic concepts of Calculus through a case study on motion in gravitational space

dc.contributor.authorTekeli, Miklós
dc.contributor.authorKarsai, János
dc.contributor.authorKopasz, Katalin
dc.date.accessioned2025-12-04T19:46:42Z
dc.date.available2025-12-04T19:46:42Z
dc.date.issued2024-12-20
dc.description.abstractIn universities, the Calculus course presents significant challenges year after year. In this article, we will demonstrate how to use methods of Realistic Mathematics Education (RME) to introduce the concepts of limits, differentiation, and integration based on high school kinematics and dynamics knowledge. All mathematical concepts are coherently built upon experiences, experiments, and fundamental dynamics knowledge related to motion in a gravitational field. With the help of worksheets created using GeoGebra or Microsoft Excel, students can conduct digital experiments and later independently visualize and relate abstract concepts to practical applications, thereby facilitating their understanding. Subject Classification: 97D40, 97I40, 97M50en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 22 No. 2 (2024) , 111-132
dc.identifier.doihttps://doi.org/10.5485/TMCS.2024.14168
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue2
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/399451
dc.identifier.volume22
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14168
dc.rights.accessOpen Access
dc.rights.ownerMiklós Tekeli, János Karsai, Katalin Kopasz
dc.subjectteaching calculusen
dc.subjectkinematicsen
dc.subjectdynamicsen
dc.subjectphysicsen
dc.subjectinterdisciplinarityen
dc.subjectRMEen
dc.subjectvisualizationen
dc.subjectdynamic illustrationen
dc.subjectexperimental approachen
dc.subjectGeoGebraen
dc.titleExploring the basic concepts of Calculus through a case study on motion in gravitational spaceen
dc.typefolyóiratcikkhu
dc.typearticleen
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