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Teaching Combinatorial Principles Using Relations through the Placemat Method

Author

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  • Viliam Ďuriš

    (Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 94901 Nitra, Slovakia)

  • Gabriela Pavlovičová

    (Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 94901 Nitra, Slovakia)

  • Dalibor Gonda

    (Department of Mathematical Methods and Operations Research, Faculty of Management Science and Informatics, University of Žilina, Univerzitná 1, 01001 Žilina, Slovakia)

  • Anna Tirpáková

    (Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 94901 Nitra, Slovakia
    Department of School Education, Faculty of Humanities, Tomas Bata University in Zlín, Štefánikova 5670, 760 00 Zlín, Czech Republic)

Abstract

The presented paper is devoted to an innovative way of teaching mathematics, specifically the subject combinatorics in high schools. This is because combinatorics is closely connected with the beginnings of informatics and several other scientific disciplines such as graph theory and complexity theory. It is important in solving many practical tasks that require the compilation of an object with certain properties, proves the existence or non-existence of some properties, or specifies the number of objects of certain properties. This paper examines the basic combinatorial structures and presents their use and learning using relations through the Placemat method in teaching process. The effectiveness of the presented innovative way of teaching combinatorics was also verified experimentally at a selected high school in the Slovak Republic. Our experiment has confirmed that teaching combinatorics through relationships among talented children in mathematics is more effective than teaching by a standard algorithmic approach.

Suggested Citation

  • Viliam Ďuriš & Gabriela Pavlovičová & Dalibor Gonda & Anna Tirpáková, 2021. "Teaching Combinatorial Principles Using Relations through the Placemat Method," Mathematics, MDPI, vol. 9(15), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1825-:d:607170
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