Kontaktujte nás | Jazyk: čeština English
dc.title | Teaching congruences in connection with diophantine equations | en |
dc.contributor.author | Ďuriš, Viliam | |
dc.contributor.author | Gonda, Dalibor | |
dc.contributor.author | Tirpáková, Anna | |
dc.contributor.author | Pavlovičová, Gabriela | |
dc.relation.ispartof | Education Sciences | |
dc.identifier.issn | 2227-7102 Scopus Sources, Sherpa/RoMEO, JCR | |
dc.date.issued | 2021 | |
utb.relation.volume | 11 | |
utb.relation.issue | 9 | |
dc.type | article | |
dc.language.iso | en | |
dc.publisher | MDPI | |
dc.identifier.doi | 10.3390/educsci11090538 | |
dc.relation.uri | https://www.mdpi.com/2227-7102/11/9/538 | |
dc.subject | congruences | en |
dc.subject | residual classes | en |
dc.subject | cryptography | en |
dc.subject | relational algebra | en |
dc.subject | prime numbers | en |
dc.subject | discrete mathematics | en |
dc.subject | survey | en |
dc.description.abstract | The presented paper is devoted to the new teaching model of congruences of computer science students within the subject of discrete mathematics at universities. The main goal was to create a new model of teaching congruences on the basis of their connection with Diophantine equations and subsequently to verify the effectiveness and efficiency of the proposed model experimentally. The teaching of congruences was realized in two phases: acquisition of procedural knowledge and use of Diophantine equations to obtain conceptual knowledge of congruences. Experiments confirmed that conceptual understanding of congruences is positively related to increasing the procedural fluidity of congruence resolution. Research also demonstrated the suitability of using Diophantine equations to link congruences and equations. Among other things, the presented research has confirmed the justification of teaching mathematics in computer-oriented study programs. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. | en |
utb.faculty | Faculty of Humanities | |
dc.identifier.uri | http://hdl.handle.net/10563/1010587 | |
utb.identifier.obdid | 43882703 | |
utb.identifier.scopus | 2-s2.0-85115145318 | |
utb.identifier.wok | 000699206400001 | |
utb.source | j-scopus | |
dc.date.accessioned | 2021-10-10T09:47:59Z | |
dc.date.available | 2021-10-10T09:47:59Z | |
dc.format.extent | 14 | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.rights.access | openAccess | |
utb.ou | Department of School Education | |
utb.contributor.internalauthor | Tirpáková, Anna | |
utb.fulltext.affiliation | Ďuriš Viliam 1 , Gonda Dalibor 2,* , Tirpáková Anna 1,3 and Gabriela Pavlovič1 Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, 1 Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 94901 Nitra, Slovakia; vduris@ukf.sk (Ď.V.); atirpakova@gmail.com (T.A.); gpavlovicova@ukf.sk (G.P.) 2 Department of Mathematical Methods and Operations Research, Faculty of Management Science and Informatics, University of Žilina, Univerzitná 1, 01001 Žilina, Slovakia 3 Department of School Education, Faculty of Humanities, Tomas Bata University in Zlín, Štefánikova 5670, 760 00 Zlín, Czech Republic * Correspondence: dalibor.gonda@fri.uniza.sk; Tel.: +421-911-720-507ová1 | |
utb.fulltext.dates | Received: 30 July 2021 Accepted: 10 September 2021 Published: 14 September 2021 | |
utb.fulltext.sponsorship | This research received no external funding. | |
utb.wos.affiliation | [Viliam, Duris; Anna, Tirpakova; Pavlovicova, Gabriela] Constantine Philosopher Univ Nitra, Fac Nat Sci, Dept Math, Tr A Hlinku 1, Nitra 94901, Slovakia; [Dalibor, Gonda] Univ Zilina, Fac Management Sci & Informat, Dept Math Methods & Operat Res, Univ 1, Zilina 01001, Slovakia; [Anna, Tirpakova] Tomas Bata Univ Zlin, Fac Humanities, Dept Sch Educ, Stefanikova 5670, Zlin 76000, Czech Republic | |
utb.scopus.affiliation | Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, Nitra, 94901, Slovakia; Department of Mathematical Methods and Operations Research, Faculty of Management Science and Informatics, University of Žilina, Univerzitná 1, Žilina, 01001, Slovakia; Department of School Education, Faculty of Humanities, Tomas Bata University in Zlín, Štefánikova 5670, Zlín, 760 00, Czech Republic | |
utb.fulltext.projects | - | |
utb.fulltext.faculty | Faculty of Humanities | |
utb.fulltext.ou | Department of School Education |