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Un Recorrido de Estudio e Investigación para el aprendizaje del concepto devariable aleatoria discreta mediante métodos de Monte Carlo
Author(s) -
Vicente Domingo Estruch Fuster,
Francisco J. Planes,
Anna Vidal Meló
Publication year - 2017
Publication title -
modelling in science education and learning
Language(s) - English
Resource type - Journals
ISSN - 1988-3145
DOI - 10.4995/msel.2017.6561
Subject(s) - humanities , philosophy , physics
The concept of random variable is a mathematical construct that presents some theoretical complexity. However, learning  this  concept  can  be  facilitated  if  it  is  presented  as  the  end  of  a  sequential  process  of  modeling  of  a  real event. More specifically, to learn the concept of discrete random variable, the Monte Carlo simulation can provide an extremely useful tool because in the process of modeling / simulation one can approach the theoretical concept of random variable, while the random variable is observed \in action". This paper presents a Research and Study Course  (RSC)  based  on  series  of  activities  related  to  random  variables  such  as  training  and  introduction  of  simulation  elements,  then  the  construction  of  the  model  is  presented,  which  is  the  substantial  part  of  the  activity, generating a random variable and its probability function. Starting from a simple situation related to reproduction and  survival  of  the  litter  of  a  rodent,  with  random  components,  step  by  step,  the  model  that  represents  the  real raised situation is built obtaining an \original" random variable. In the intermediate stages of the construction of the model have a fundamental role the uniform discrete and binomial distributions. The trajectory of these stages allows reinforcing the concept of random variable while exploring the possibilities offered by Monte Carlo methods to  simulate  real  cases  and  the  simplicity  of  implementing  these  methods  by  means  of  the  Matlab© programming language

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