From the deterministic to the stochastic: the case of the race to 20
In the context of the Theory of Didactic Situations proposed by Guy Brousseau, a game called "race to 20" is recognized in which two players face each other, and the winner is whoever reaches number 20, after a sequence of numbers that each You say, adding one or two to the number your opp...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | México |
| Recursos: | UNIVERSIDAD AUTÓNOMA DEL ESTADO DE HIDALGO |
| Repositorio: | PÄDI Boletín Científico de Ciencias Básicas e Ingeniería del ICBI |
| Idioma: | español |
| OAI Identifier: | oai:repository.uaeh.edu.mx:article/8561 |
| Acesso em linha: | https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/8561 |
| Access Level: | acceso abierto |
| Palavra-chave: | Didactic proposal stochastic system deterministic system race to 20 Propuesta didáctica sistema estocástico sistema determinista carrera al 20 |
| Resumo: | In the context of the Theory of Didactic Situations proposed by Guy Brousseau, a game called "race to 20" is recognized in which two players face each other, and the winner is whoever reaches number 20, after a sequence of numbers that each You say, adding one or two to the number your opponent says. This game can be considered "deterministic" because what is going to happen is actually predictable, and there is an infallible way to win it. What happens when one of the variables in this game is modified? Specifically, the number of players. In the present work, a didactic proposal is made that consists of adding a third player, the intention is to show from the didactic point of view, the difference between a system that behaves as predictable or deterministic, with respect to another that turns out to be unpredictable or stochastic, with the intention of promoting the notion of randomness from basic education. |
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