Abstract

HERNANDEZ-SOLIS, Luis Armando; BATANERO, Carmen; GEA, María M.  and  ALVAREZ-ARROYO, Rocío. Building sample spaces linked to different events: an exploratory study with primary school students. Educ. mat. [online]. 2021, vol.33, n.1, pp.181-207.  Epub Dec 06, 2021. ISSN 2448-8089.  https://doi.org/10.24844/em3301.07.

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 correct-ly constructed a sample space corresponding to the certain and impossible event. These results support other previous research that indicates the difficul-ty for students of the concepts of certain and impossible.

Keywords : types of events; intuition; sample space; primary school students.

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