Contexts, analogies, and tasks that expose the purpose of the key concepts of probability
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Zetetiké (Online) |
Texto Completo: | https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607 |
Resumo: | Probability is and will continue to be a virtual concept. This specificity requires meta strategies that go far beyond the instruction of the mathematical details and ask for a sensible use of simulation. We suggest focussing teaching efforts on explicitly exposing the students to the purpose of the concept of probability. The purpose shows the character of probability indirectly as the required steps for solving a task make the properties appear natural in the context. We elaborate suitable tasks and interactive animations, which are designed to overcome learning obstacles. We focus on three aspects of probability: The character of probabilistic statements, the transparent use of probability for decisions under risk, and informal inference considerations in the early probability education. An essential criterion of teaching is how far it allows learners a more direct access to the concepts on an intuitive level. For designing didactic animations, our principles are characterised by the following ideas: A dynamic change is explored in comparison to the initial situation. Like watching a video, one looks at the different stages of emergence of a relation between the investigated concepts. |
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Contexts, analogies, and tasks that expose the purpose of the key concepts of probabilityContextos, analogías y tareas, que exponen el propósito de los conceptos clave de probabilidadContexts, Analogies, and Tasks that Expose the Purpose of the Key Concepts of ProbabilityContextos, analogías y tareas, que exponen el propósito de los conceptos clave de probabilidadInterplay of intuitionsPurpose of conceptsProbabilistic thinkingDynamic animationsInteracción de intuicionesPropósito de los conceptosPensamiento probabilísticoAnimaciones dinámicasProbability is and will continue to be a virtual concept. This specificity requires meta strategies that go far beyond the instruction of the mathematical details and ask for a sensible use of simulation. We suggest focussing teaching efforts on explicitly exposing the students to the purpose of the concept of probability. The purpose shows the character of probability indirectly as the required steps for solving a task make the properties appear natural in the context. We elaborate suitable tasks and interactive animations, which are designed to overcome learning obstacles. We focus on three aspects of probability: The character of probabilistic statements, the transparent use of probability for decisions under risk, and informal inference considerations in the early probability education. An essential criterion of teaching is how far it allows learners a more direct access to the concepts on an intuitive level. For designing didactic animations, our principles are characterised by the following ideas: A dynamic change is explored in comparison to the initial situation. Like watching a video, one looks at the different stages of emergence of a relation between the investigated concepts.La probabilidad es y seguirá siendo un concepto virtual. Esta especificidad requiere meta-estrategias que van mucho más allá de la instrucción de los detalles matemáticos y piden un uso sensato de la simulación. Sugerimos enfocar los esfuerzos de enseñanza en exponer explícitamente a los estudiantes al propósito del concepto de probabilidad. El propósito muestra el carácter de probabilidad indirectamente como los pasos requeridos para resolver una tarea hacen que las propiedades parezcan naturales en el contexto. Elaboramos tareas adecuadas y animaciones interactivas, que están diseñadas para superar los obstáculos de aprendizaje. Nos centramos en tres aspectos de la probabilidad: El carácter de las afirmaciones probabilísticas, el uso transparente de la probabilidad para las decisiones bajo riesgo y las consideraciones de inferencia informal en la educación temprana de probabilidad. Un criterio esencial de la enseñanza es hasta qué punto permite a los alumnos un acceso más directo a los conceptos en un nivel intuitivo. Para el diseño de animaciones didácticas, nuestros principios se caracterizan por las siguientes ideas: Se explora un cambio dinámico en comparación con la situación inicial. Como si se tratara de ver un vídeo, se observan las diferentes etapas de la emergencia de una relación entre los conceptos investigados.La probabilidad es y seguirá siendo un concepto virtual. Esta especificidad requiere meta-estrategias que van mucho más allá de la instrucción de los detalles matemáticos y piden un uso sensato de la simulación. Sugerimos enfocar los esfuerzos de enseñanza en exponer explícitamente a los estudiantes al propósito del concepto de probabilidad. El propósito muestra el carácter de probabilidad indirectamente como los pasos requeridos para resolver una tarea hacen que las propiedades parezcan naturales en el contexto. Elaboramos tareas adecuadas y animaciones interactivas, que están diseñadas para superar los obstáculos de aprendizaje. Nos centramos en tres aspectos de la probabilidad: El carácter de las afirmaciones probabilísticas, el uso transparente de la probabilidad para las decisiones bajo riesgo y las consideraciones de inferencia informal en la educación temprana de probabilidad. Un criterio esencial de la enseñanza es hasta qué punto permite a los alumnos un acceso más directo a los conceptos en un nivel intuitivo. Para el diseño de animaciones didácticas, nuestros principios se caracterizan por las siguientes ideas: Se explora un cambio dinámico en comparación con la situación inicial. Como si se tratara de ver un vídeo, se observan las diferentes etapas de la emergencia de una relación entre los conceptos investigados.Universidade Estadual de Campinas2020-03-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTextoTextoinfo:eu-repo/semantics/otherapplication/pdfapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/865760710.20396/zet.v28i0.8657607Zetetike; Vol. 28 (2020): Publicação Contínua; e020008Zetetike; Vol. 28 (2020): Publicação Contínua; e020008Zetetike; v. 28 (2020): Publicação Contínua; e0200082176-1744reponame:Zetetiké (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607/22142https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607/22143Mundial; ContemporanyMundial; ContemporáneoMundial; ContemporâneoCopyright (c) 2020 Zetetikehttps://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessBorovcnik, Manfred2024-01-11T16:05:04Zoai:ojs.periodicos.sbu.unicamp.br:article/8657607Revistahttp://www.fe.unicamp.br/zetetike/PUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/oaizetetike@unicamp.br2176-17440104-4877opendoar:2024-01-11T16:05:04Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)false |
dc.title.none.fl_str_mv |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability Contextos, analogías y tareas, que exponen el propósito de los conceptos clave de probabilidadContexts, Analogies, and Tasks that Expose the Purpose of the Key Concepts of Probability Contextos, analogías y tareas, que exponen el propósito de los conceptos clave de probabilidad |
title |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability |
spellingShingle |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability Borovcnik, Manfred Interplay of intuitions Purpose of concepts Probabilistic thinking Dynamic animations Interacción de intuiciones Propósito de los conceptos Pensamiento probabilístico Animaciones dinámicas |
title_short |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability |
title_full |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability |
title_fullStr |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability |
title_full_unstemmed |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability |
title_sort |
Contexts, analogies, and tasks that expose the purpose of the key concepts of probability |
author |
Borovcnik, Manfred |
author_facet |
Borovcnik, Manfred |
author_role |
author |
dc.contributor.author.fl_str_mv |
Borovcnik, Manfred |
dc.subject.por.fl_str_mv |
Interplay of intuitions Purpose of concepts Probabilistic thinking Dynamic animations Interacción de intuiciones Propósito de los conceptos Pensamiento probabilístico Animaciones dinámicas |
topic |
Interplay of intuitions Purpose of concepts Probabilistic thinking Dynamic animations Interacción de intuiciones Propósito de los conceptos Pensamiento probabilístico Animaciones dinámicas |
description |
Probability is and will continue to be a virtual concept. This specificity requires meta strategies that go far beyond the instruction of the mathematical details and ask for a sensible use of simulation. We suggest focussing teaching efforts on explicitly exposing the students to the purpose of the concept of probability. The purpose shows the character of probability indirectly as the required steps for solving a task make the properties appear natural in the context. We elaborate suitable tasks and interactive animations, which are designed to overcome learning obstacles. We focus on three aspects of probability: The character of probabilistic statements, the transparent use of probability for decisions under risk, and informal inference considerations in the early probability education. An essential criterion of teaching is how far it allows learners a more direct access to the concepts on an intuitive level. For designing didactic animations, our principles are characterised by the following ideas: A dynamic change is explored in comparison to the initial situation. Like watching a video, one looks at the different stages of emergence of a relation between the investigated concepts. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-03-03 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Texto Texto info:eu-repo/semantics/other |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607 10.20396/zet.v28i0.8657607 |
url |
https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607 |
identifier_str_mv |
10.20396/zet.v28i0.8657607 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607/22142 https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8657607/22143 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2020 Zetetike https://creativecommons.org/licenses/by-nc-nd/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2020 Zetetike https://creativecommons.org/licenses/by-nc-nd/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.coverage.none.fl_str_mv |
Mundial; Contemporany Mundial; Contemporáneo Mundial; Contemporâneo |
dc.publisher.none.fl_str_mv |
Universidade Estadual de Campinas |
publisher.none.fl_str_mv |
Universidade Estadual de Campinas |
dc.source.none.fl_str_mv |
Zetetike; Vol. 28 (2020): Publicação Contínua; e020008 Zetetike; Vol. 28 (2020): Publicação Contínua; e020008 Zetetike; v. 28 (2020): Publicação Contínua; e020008 2176-1744 reponame:Zetetiké (Online) instname:Universidade Estadual de Campinas (UNICAMP) instacron:UNICAMP |
instname_str |
Universidade Estadual de Campinas (UNICAMP) |
instacron_str |
UNICAMP |
institution |
UNICAMP |
reponame_str |
Zetetiké (Online) |
collection |
Zetetiké (Online) |
repository.name.fl_str_mv |
Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP) |
repository.mail.fl_str_mv |
zetetike@unicamp.br |
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1798329592941903872 |