Construcción de espacios muestrales asociados a distintos tipos de sucesos: un estudio exploratorio con estudiantes de Educación Primaria
- Luis Armando Hernández-Solís 1
- Carmen Batanero 2
- María M. Gea 2
- Rocío Álvarez-Arroyo 2
- 1 Universidad Estatal a Distancia, Costa Rica
- 2 Universidad de Granada, España
ISSN: 1665-5826, 0187-8298
Year of publication: 2021
Volume: 33
Issue: 1
Pages: 181-207
Type: Article
More publications in: Educación matemática
Abstract
We present an exploratory study in which we analyse the construction of the sample space associated with various types of events. We analyse the responses of 55 students from 6th degree of primary education, 29 of them from a private school and 26 from a public school. We propose them two items one in the urn context and another in roulettes context, in which the students are asked to build the sample space compatible with the description of a certain, probable, equiprobable and impossible event. The responses are categorized according to the type of event that would take place, when taking into account the sample spaces the children construct, and we analyse the differences in the two contexts and schools. The simpler tasks were building a sample space compatible with a possible and equiprobable event, while few students correctly constructed a sample space corresponding to the certain and impossible event. These results support other previous research that indicates the difficulty for students of the concepts of certain and impossible.