Teaching congruences in connection with diophantine equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28150%2F21%3A63532758" target="_blank" >RIV/70883521:28150/21:63532758 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7102/11/9/538" target="_blank" >https://www.mdpi.com/2227-7102/11/9/538</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/educsci11090538" target="_blank" >10.3390/educsci11090538</a>

Result language
angličtina
Original language name
Teaching congruences in connection with diophantine equations
Original language description
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.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
50301 - Education, general; including training, pedagogy, didactics [and education systems]

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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