Using numerical infinities and infinitesimals in teaching the infinity concept in high schools in Lebanon.

In this paper, we show briefly outcomes of a pedagogical study using numerical methods, in particular the Arithmetic of Infinity, in teaching infinity for undergraduate level (for the detailed study, see [15]). This methodology, introduced by Yaroslav Sergeyev in 2003, provides a new way to deal with infinite quantities and infinitesimals. Though it is different from the methods used in traditional mathematics, those which are adopted in most school curriculums worldwide, yet it doesn't contradict those methods. The study presented in this paper highlights students' beliefs of mathematical infinity, as well as their ability to learn and use the new methodology. The results of evoking the Arithmetic of Infinity in school teaching seemed to be promising as it provides easy methods for computing infinite quantities and infinitesimals. In addition, students' beliefs of the mathematical infinity turned to be more confident and positive after being subject to the new method. [ABSTRACT FROM AUTHOR]