Relationships between frequentist and theoretical probability through a random experiment simulation from the theory of didactic situations.

 

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Auteur: Muñoz Sepulveda, Roberto
Formaat: artículo original
Status:Versión publicada
Publicatiedatum:2025
Omschrijving:This research aims to characterize how students relate frequentist probability to theoretical probability in a didactic situation that uses a simulator of random experiments. The Theory of Didactic Situations (Brousseau, 2007) was chosen for both the design and the construction and analysis of a class. The methodology consists of a qualitative approach that analyzes the results according to the phases of the Theory of Didactic Situations, identifying the arguments established by students based on different probabilistic meanings. The classroom proposal was implemented in a seventh-grade basic education class at a private school located in the city of Valparaíso, Chile. The activity was divided into five parts, from a recreational instance posed through initial bets about what is in a bag with tokens,  to the institutionalization of the law of large numbers. The results showed that most working pairs, when addressing the problem, based their strategies primarily on intuitive and frequentist approaches; however, some students validated their results using arguments associated with both frequentist and theoretical approaches to probability. In relation to this, one of the conclusions is that the frequentist results obtained were validated using the theoretical approach. 
Land:Portal de Revistas UNED
Instelling:Universidad Estatal a Distancia
Repositorio:Portal de Revistas UNED
Taal:Español
OAI Identifier:oai:revistas.investiga.uned.ac.cr:article/5310
Online toegang:https://revistas.uned.ac.cr/index.php/innovaciones/article/view/5310
Keyword:Probabilidad
Método de enseñanza
Educación b´´asica
Material didáctico
Probability
Teaching method
Basic education
Teaching materials
Probabilidade
Método de ensino
Educação básica
Material didático