constructive and metacognitive teaching path at university level on the Principle of Mathematical Induction

A tétel rövid nézete
dc.contributor.authorTelloni, Agnese Ilaria
dc.contributor.authorMalara, Nicolina Antonia
dc.date.accessioned2024-07-30T13:18:06Z
dc.date.available2024-07-30T13:18:06Z
dc.date.issued2021-10-14
dc.description.abstractWe present the main results about a teaching/learning path for engineering university students devoted to the Principle of Mathematical Induction (PMI). The path, of constructive and metacognitive type, is aimed at fostering an aware and meaningful learning of PMI and it is based on providing students with a range of explorations and conjecturing activities, after which the formulation of the statement of the PMI is devolved to the students themselves, organized in working groups. A specific focus is put on the quantification in the statement of PMI to bring students to a deep understanding and a mature view of PMI as a convincing method of proof. The results show the effectiveness of the metacognitive reflections on each phase of the path for what concerns a) students' handling of structural complexity of the PMI, b) students' conceptualization of quantification as a key element for the reification of the proving process by PMI; c) students' perception of the PMI as a convincing method of proof. Subject Classification: 97B40, 97C70en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 19 No. 1 (2021) , 133-161
dc.identifier.doihttps://doi.org/10.5485/TMCS.2021.0525
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/2437/378519
dc.identifier.volume19
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/10978
dc.rights.accessOpen Access
dc.rights.ownerAgnese Ilaria Telloni, Nicolina Antonia Malara
dc.subjectmathematical inductionen
dc.subjectquantificationen
dc.subjectconstructive teaching/learningen
dc.subjectmetacognitionen
dc.subjectproofs/refutation of conjecturesen
dc.subjectuniversity levelen
dc.titleconstructive and metacognitive teaching path at university level on the Principle of Mathematical Inductionen
dc.typefolyóiratcikkhu
dc.typearticleen
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Teaching Mathematics and Computer Science (DE-journals)