Abstract

LASNIBAT GODOY, Tamara; FLORES SEPULVEDA, Mónica  and  PURAIVAN HUENUMAN, Eduardo. A virtual class study to promete the construction of the actual infinity, in secondary school and freshmen students, from the perspective of APOS theory. Educ. mat. [online]. 2022, vol.34, n.3, pp.218-247.  Epub Mar 17, 2023. ISSN 2448-8089.  https://doi.org/10.24844/em3403.08.

Chilean curriculum has recently included an optional module called “Limits, derivatives and integrals”, which addresses infinitesimal calculus. On the face of it, it is expected that students understand the notion of actual infinity; however, the curriculum has a paramathematical treatment of that concept. On these grounds, this research operationalizes a virtual class study that promotes the understanding of the notion of actual infinity among upper secondary school and first-year university students. The theoretical perspective this research resorts to is APOS theory. It was observed that the proposal the research suggests promotes a successful understanding of actual infinity, since the structure of totality in the students is evident.

Keywords : actual infinity; virtual Class Study; APOS theory.