e-learning environment for elementary analysis

dc.contributor.authorVajda, Róbert
dc.date.accessioned2024-09-04T09:46:06Z
dc.date.available2024-09-04T09:46:06Z
dc.date.issued2009-06-01
dc.description.abstractCreaComp is a project at the University of Linz, which aims at producing computer-supported interactive learning units for several mathematical topics at introductory university level. The units are available as Mathematica notebooks. For student experimentation we provide computational, graphical and reasoning tools as well. This paper focuses on the elementary analysis units. The computational and graphical tools of the CreaComp learning environment facilitate the exploration of new mathematical objects and their properties (e.g., boundedness, continuity, limits of real valued functions). Using the provided tools students should be able to collect empirical data systematically and come up with conjectures. A CreaComp component allows the formulation of precise conjectures and the investigatation of their validity. The Theorema system, which has been integrated into the CreaComp learning environment, provides full predicate logic with a user-friendly twodimensional syntax and a couple of automated reasoners that produce proofs in an easy-to-read and natural presentation. We demonstrate the learning situations and the provided tools through several examples.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 7 No. 1 (2009) , 13-34
dc.identifier.doihttps://doi.org/10.5485/TMCS.2009.0189
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue1
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379655
dc.identifier.volume7
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14845
dc.rights.accessOpen Access
dc.rights.ownerRóbert Vajda
dc.subjectcomputer algebraen
dc.subjectelementary analysisen
dc.subjectautomated reasoningen
dc.subjectextended quantifier eliminationen
dc.titlee-learning environment for elementary analysisen
dc.typefolyóiratcikkhu
dc.typearticleen
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