How Would the Arithmetic of Infinity Methodology Affect Students’ Beliefs of Infinity?

Proceedings of The 4th International Conference on Applied Research in Education

Year: 2022

DOI:

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How Would the Arithmetic of Infinity Methodology Affect Students’ Beliefs of Infinity?

Layla Nasr

ABSTRACT: 

This study investigates the effect of a new methodology of the mathematical infinity on students’ beliefs of it. A group of 25 students (grade 12) participated in the study considering traditional views on infinity in mathematics and then recently introduced to “Arithmetic of Infinity” methodology proposed by Yaroslav D. Sergeyev. The students were subject to an intervention presenting this methodology which is new to them and different from the classical one. A pre- & post questionnaires were administrated to check its effect. Results showed that the majority of students had positive beliefs of infinity after being exposed to this methodology.

keywords: Arithmetic of Infinity, beliefs, grossone, infinity, students’ perception of infinity.