A genetic decomposition for the mathematical object limit of a function

Autor: Maria Alice de Vasconcelos Feio Messias, João Cláudio Brandemberg
Jazyk: Spanish; Castilian<br />Portuguese
Rok vydání: 2021
Předmět:
Zdroj: Amazônia, Vol 17, Iss 38, Pp 121-138 (2021)
Druh dokumentu: article
ISSN: 1980-5128
2317-5125
DOI: 10.18542/amazrecm.v17i38.9657
Popis: The study presented in this paper, which shows part of the results of a doctoral research, has the aim of conjecture about mental structures and mechanisms need to be built by an individual, in order to enable the comprehension of the limit concept. We were based on the assumptions of APOS theory (DUBINSKY et al., 1984; ARNOON et al., 2014), in what we know about such mathematical object, besides students comprehensions about limits, to create a Genetic Decomposition (GD) to the referred concept. In this sense, we noticed the importance of different mathematical objects, such as function, limit definition, relation, lateral and bilateral limits, limits properties, limits involving infinity, above others, as part of a GD for the object Limit of a Function. We reiterate that such Genetic Decomposition may guide both, evaluative instruments and instructional materials in order to make the learning process in Calculus possible.
Databáze: Directory of Open Access Journals