Divisibility and its application in teaching mathematics in the third educational level

• Autorzy: Jędrzejewski J. , Ziółkowski M.
• Języki publikacji: EN

Abstrakty

EN

Elements of theory of divisibility are present in many various interesting mathematical tasks, especially in tasks that are addressed to talented pupils taking part in mathematical competitions. Good understanding of it lets solve very interesting and difficult (at first glance) issues. On the other hand, there are a lot of problems with understanding such terms as: multiple, divisor, divisibility, prime number, LCM, GCD etc. The purpose of the article is presenting the base terms of theory in the language understood for pupil of the gymnasium (3-rd educational level, 13-16 years old). In addition, we present some algorithms that are used to solve problems from the theory of divisibility and we discuss the influence the choice of the algorithm on its effectiveness (so we analyse its complexity). Presented algorithms let us create computer programs that solve the problems mechanically. We also enlarge a bit some topics for those ones which can be taught in the class of pupils which are interested in Mathematics.

Słowa kluczowe

EN

mathematical education; teaching mathematics; mathematical tasks; pupil; gymnasium

PL

edukacja matematyczna; nauczanie matematyki; zadania matematyczne; uczeń; gimnazjum

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2014
• Tom: Vol. 19
• Strony: 71--82
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Jędrzejewski J.

• Jan Długosz University in Częstochowa, Institute of Mathematics and Computer Science, Al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

autor

Ziółkowski M.

• Jan Długosz University in Częstochowa, Institute of Mathematics and Computer Science, Al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

Bibliografia

• [1] J. M. Jędrzejewski, A. Vizváry, M. Ziółkowski, Matematyka - Świat liczb - poradnik dla nauczyciela gimnazjum klasa I, Res Polona, Łódź 2012.
• [2] J. M. Jędrzejewski, A. Vizváry, M. Ziółkowski, Matematyka - Świat liczb - podręcznik dla uczniów gimnazjum klasa I, Res Polona, Łódź 2012.
• [3] J. M. Jędrzejewski, A. Vizváry, M. Ziółkowski, Matematyka - Świat liczb - zbiór zadań dla uczniów gimnazjum klasa I, Res Polona, Łódź 2012.
• [4] J. M. Jędrzejewski, A. Vizváry, M. Ziółkowski, Repetytorium z matematyki, Res Polona, Łódź 2012.
• [5] Z. Opial, Algebra wyższa, PWN Warszawa 1974.