Practices of the Random Variable Proposed in the Chilean Mathematics Curriculum of Secondary Education

Patricia Belén Carrera, Luis R. Pino-Fan, Hugo Alvarado and Jesús Guadalupe Lugo-Armenta
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Patricia Belén Carrera: Departamento de Ciencias Exactas, Universidad de Los Lagos, Osorno 5290000, Chile
Luis R. Pino-Fan: Departamento de Ciencias Exactas, Universidad de Los Lagos, Osorno 5290000, Chile
Hugo Alvarado: Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Concepción 4090541, Chile
Jesús Guadalupe Lugo-Armenta: Departamento de Ciencias Exactas, Universidad de Los Lagos, Osorno 5290000, Chile

Mathematics, 2021, vol. 9, issue 19, 1-26

Abstract: Working with statistical data from real contexts has become fundamental in school-level statistics, because it enables the development of statistical reasoning. In this regard, the notion of the random variable is fundamental to statistical data analysis. Thus, the aim of this research was to characterise the meanings of the concept of the random variable that are promoted in the Chilean mathematics curriculum for secondary education. To achieve this, we examined the representativeness of the meanings of the random variable intended by the curriculum in relation to the meanings of reference for this concept, using theoretical and methodological notions from the onto-semiotic approach. The findings show that the meanings of reference were not fully represented in the textbooks and the national curriculum, and that the most promoted meaning was that of the random variable as a variable of interest. Regarding the types of representation, it was observed that the graphical and tabular representations were neglected. Lastly, it was noticed that definitions of the concept of variable, its classifications, and differences were omitted almost entirely from the textbooks.

Keywords: random variable; mathematics task; textbooks; meanings; statistics education (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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