Szilárd Svitek

• PhD, Assistant Professor
• Assistant Professor at J. Selye University

The aim of this article is to investigate the relations between the exponent of the convergence of sequences and other characteristics defined for monotone sequences of positive numbers. Another main goal is to characterize such monotone sequences (an) of positive numbers that, for each n≥2, satisfy the equality an=K(an−1,an+1), where the function...

Problem-solving skills and abilities are crucial not only in mathematics but in real life too. Number of researches and studies show that open-ended tasks can increase understanding problems which occur in everyday life and motivate students to approach it from a mathematical perspective. The subjects of the study were first-year students majoring...

Number theory is an area of mathematics not unknown to students majoring in mathematics teaching. As early as in junior high, they may encounter basic number theory concepts such as prime numbers, multiples, divisors, or even the fundamental theorem of arithmetic—the proof of which, however, will only be included in the university curriculum of mat...

Number theory is one of the topics in high school mathematics that requires relatively little priorknowledge. Tasks and problems related to divisibility can be dealt with in high school classes -regardless of age, since students are already introduced to (basic) concepts such as prime numbers,multiples, divisors, or even the basics of number theory...

This survey through an open reality based word problem is intended to assess - in two secondary schools in Komárom (Hungary) and in Komarno (Slovakia, Hungarian name: Révkomárom) in grade 10 - the ability of students to realize openness of a task. The comparison is justified by the fact that the language of teaching is Hungarian in both secondary s...

Mathematik ist in Ungarn traditionell von hoher kultureller und wissenschaftlicher Bedeutung. Intention der Buchreihe „Mathematiklehren und -lernen in Ungarn“ ist es, die beispielgebende Rolle des Landes und den inspirativen Austausch über Grenzen hinweg zum Ausdruck zu bringen. Der vorliegende Band enthält – ganz in diesem Sinne – Artikel aus mehr...

Auch wenn A falsch ist, kann B wahr sein. – Diese aussagenlogische Feststellung soll als Leitsatz für das vorliegende Buch nicht in wörtlicher, sondern in metaphorischer Bedeutung den Erkenntnisgang der Mathematik zum Ausdruck bringen – und zwar in doppelter Weise. Auf dem Weg zu gesicherten Erkenntnissen sind Irrtümer und Fehler, Lücken und Unvoll...