Las teorías APOS y construccionismo en el análisis de la comprensión del concepto de fracción
- Quintanilla, Cerapio 1
- Gewerc, Adriana 2
- Fraga, Fernando 2
- 1 Universidad Nacional de Huancavelica, Perú
- 2 Universidad de Santiago de Compostela, España
ISSN: 2076-5363
Year of publication: 2017
Issue Title: Enero - Diciembre
Volume: 8
Issue: 0
Pages: 30-39
Type: Article
More publications in: Quintaesencia. Revista de Educación
Abstract
The purpose of this work is to analyze the understanding of the concept of fraction in children of the fifth grade of elementary education through two theories: Constructionism and APOS theory. For the construction and understanding of the students' fraction concept, activities have been designed through the constructs of the APOS theory, characterizing their schemas in terms of levels (Intra, Inter and Trans); all this from the constructionist approach. The methodology applied consisted of a case study with a population of 25 children who developed activities using an object-oriented programming language called Etoys in a constructionist environment. The results show that a high percentage of children were able to understand the concept of fraction and reached the level of process and scheme according to theproposed genetic decomposition.