Double-entry tables: reading and calculating probabilities by high school students

Detalhes bibliográficos
Autor(a) principal: Torres, Daniela Calderón
Data de Publicação: 2023
Outros Autores: García-García, Jaime I., Coronado, Nicolás Fernández, Arredondo, Elizabeth H.
Tipo de documento: Artigo
Idioma: spa
eng
Título da fonte: Ensino em Revista
Texto Completo: https://seer.ufu.br/index.php/emrevista/article/view/71901
Resumo: The double-entry table is a useful representation for the analysis of two statistical variables, whose teaching is essential in the student's education. This qualitative research, descriptive-exploratory, aimed to analyze the reading and calculation of probabilities in double-entry tables carried out by high school students. Using the content analysis technique, the responses of 75 students to two reading and three probability calculation tasks are analyzed. The results show that the majority of the students have mastery of the first levels of Curcio's reading and make use of Laplace's rule, or the rule of three, as a solution strategy; however, some have errors, for example, they confuse a conditional probability with its inverse. The above evidence the need to design teaching proposals that address the various mathematical objects and processes related to the reading and calculation of probabilities in double-entry tables.
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spelling Double-entry tables: reading and calculating probabilities by high school students Tablas de doble entrada: lectura y cálculo de probabilidades por estudiantes de educación mediaTabelas de dupla entrada: leitura e cálculo de probabilidades por alunos do ensino médioEstratégiaErroNível de leituraCálculo de probabilidadesTabelas de contingênciaStrategyErrorReading levelsProbability calculationContingency tablesEstrategiaErrorNivel de lecturaCálculo de probabilidadesTablas de contingenciaThe double-entry table is a useful representation for the analysis of two statistical variables, whose teaching is essential in the student's education. This qualitative research, descriptive-exploratory, aimed to analyze the reading and calculation of probabilities in double-entry tables carried out by high school students. Using the content analysis technique, the responses of 75 students to two reading and three probability calculation tasks are analyzed. The results show that the majority of the students have mastery of the first levels of Curcio's reading and make use of Laplace's rule, or the rule of three, as a solution strategy; however, some have errors, for example, they confuse a conditional probability with its inverse. The above evidence the need to design teaching proposals that address the various mathematical objects and processes related to the reading and calculation of probabilities in double-entry tables.La tabla de doble entrada es una representación útil para el análisis de dos variables estadísticas, cuya enseñanza es esencial en la formación del estudiante. Esta investigación cualitativa, descriptiva-exploratoria, tuvo por objetivo analizar la lectura y el cálculo de probabilidades en tablas de doble entrada realizado por estudiantes de educación media. Bajo la técnica de análisis de contenido, se analizan las respuestas de 75 estudiantes a dos tareas de lectura y tres de cálculo de probabilidades. Los resultados muestran que la mayoría del estudiantado posee dominio de los primeros niveles de lectura de Curcio y hace uso de la regla de Laplace, o la regla de tres, como estrategia de solución; sin embargo, algunos presentan errores, por ejemplo, confunden una probabilidad condicional con su inversa. Lo anterior evidencia la necesidad de diseñar propuestas de enseñanza donde se aborden los diversos objetos y procesos matemáticos en torno a la lectura y cálculo de probabilidades en tablas de doble entrada.A tabela de dupla entrada é uma representação útil para a análise de duas variáveis estatísticas, cujo ensino é essencial na formação do aluno. Esta investigação qualitativa, de carácter descritivo-exploratório, teve como objetivo analisar a leitura e o cálculo de probabilidades em tabelas de dupla entrada efetuados por alunos do ensino médio. Utilizando a técnica de análise de conteúdo, foram analisadas as respostas de 75 alunos a duas tarefas de leitura e a três tarefas de cálculo de probabilidades. Os resultados mostram que a maioria dos alunos domina os primeiros níveis de leitura de Curcio e utiliza a regra de Laplace, ou a regra de três, como estratégia de solução; no entanto, alguns cometem erros, por exemplo, confundem uma probabilidade condicional com a sua inversa. Isto mostra a necessidade de conceber propostas de ensino que abordem os diferentes objetos e processos matemáticos em torno da leitura e cálculo de probabilidades em tabelas de dupla entrada.Universidade Federal de Uberlândia2023-12-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://seer.ufu.br/index.php/emrevista/article/view/7190110.14393/ER-v30a2023-32Ensino em Re-Vista; Vol. 30 (2023): Continuous Publishing; e032Ensino em Re-Vista; Vol. 30 (2023): Publicación continua; e032Ensino em Re-Vista; v. 30 (2023): Publicação Contínua; e0321983-17300104-3757reponame:Ensino em Revistainstname:Universidade Federal de Uberlândia (UFU)instacron:UFUspaenghttps://seer.ufu.br/index.php/emrevista/article/view/71901/37383https://seer.ufu.br/index.php/emrevista/article/view/71901/37384Copyright (c) 2023 Daniela Calderón Torres, Jaime I. García-García, Nicolás Fernández Coronado, Elizabeth H. Arredondohttp://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessTorres, Daniela CalderónGarcía-García, Jaime I.Coronado, Nicolás FernándezArredondo, Elizabeth H.2024-03-04T14:19:40Zoai:ojs.www.seer.ufu.br:article/71901Revistahttps://seer.ufu.br/index.php/emrevistaPUBhttps://seer.ufu.br/index.php/emrevista/oai||ensinoemrevista@gmail.com1983-17300104-3757opendoar:2024-03-04T14:19:40Ensino em Revista - Universidade Federal de Uberlândia (UFU)false
dc.title.none.fl_str_mv Double-entry tables: reading and calculating probabilities by high school students
Tablas de doble entrada: lectura y cálculo de probabilidades por estudiantes de educación media
Tabelas de dupla entrada: leitura e cálculo de probabilidades por alunos do ensino médio
title Double-entry tables: reading and calculating probabilities by high school students
spellingShingle Double-entry tables: reading and calculating probabilities by high school students
Torres, Daniela Calderón
Estratégia
Erro
Nível de leitura
Cálculo de probabilidades
Tabelas de contingência
Strategy
Error
Reading levels
Probability calculation
Contingency tables
Estrategia
Error
Nivel de lectura
Cálculo de probabilidades
Tablas de contingencia
title_short Double-entry tables: reading and calculating probabilities by high school students
title_full Double-entry tables: reading and calculating probabilities by high school students
title_fullStr Double-entry tables: reading and calculating probabilities by high school students
title_full_unstemmed Double-entry tables: reading and calculating probabilities by high school students
title_sort Double-entry tables: reading and calculating probabilities by high school students
author Torres, Daniela Calderón
author_facet Torres, Daniela Calderón
García-García, Jaime I.
Coronado, Nicolás Fernández
Arredondo, Elizabeth H.
author_role author
author2 García-García, Jaime I.
Coronado, Nicolás Fernández
Arredondo, Elizabeth H.
author2_role author
author
author
dc.contributor.author.fl_str_mv Torres, Daniela Calderón
García-García, Jaime I.
Coronado, Nicolás Fernández
Arredondo, Elizabeth H.
dc.subject.por.fl_str_mv Estratégia
Erro
Nível de leitura
Cálculo de probabilidades
Tabelas de contingência
Strategy
Error
Reading levels
Probability calculation
Contingency tables
Estrategia
Error
Nivel de lectura
Cálculo de probabilidades
Tablas de contingencia
topic Estratégia
Erro
Nível de leitura
Cálculo de probabilidades
Tabelas de contingência
Strategy
Error
Reading levels
Probability calculation
Contingency tables
Estrategia
Error
Nivel de lectura
Cálculo de probabilidades
Tablas de contingencia
description The double-entry table is a useful representation for the analysis of two statistical variables, whose teaching is essential in the student's education. This qualitative research, descriptive-exploratory, aimed to analyze the reading and calculation of probabilities in double-entry tables carried out by high school students. Using the content analysis technique, the responses of 75 students to two reading and three probability calculation tasks are analyzed. The results show that the majority of the students have mastery of the first levels of Curcio's reading and make use of Laplace's rule, or the rule of three, as a solution strategy; however, some have errors, for example, they confuse a conditional probability with its inverse. The above evidence the need to design teaching proposals that address the various mathematical objects and processes related to the reading and calculation of probabilities in double-entry tables.
publishDate 2023
dc.date.none.fl_str_mv 2023-12-22
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://seer.ufu.br/index.php/emrevista/article/view/71901
10.14393/ER-v30a2023-32
url https://seer.ufu.br/index.php/emrevista/article/view/71901
identifier_str_mv 10.14393/ER-v30a2023-32
dc.language.iso.fl_str_mv spa
eng
language spa
eng
dc.relation.none.fl_str_mv https://seer.ufu.br/index.php/emrevista/article/view/71901/37383
https://seer.ufu.br/index.php/emrevista/article/view/71901/37384
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Uberlândia
publisher.none.fl_str_mv Universidade Federal de Uberlândia
dc.source.none.fl_str_mv Ensino em Re-Vista; Vol. 30 (2023): Continuous Publishing; e032
Ensino em Re-Vista; Vol. 30 (2023): Publicación continua; e032
Ensino em Re-Vista; v. 30 (2023): Publicação Contínua; e032
1983-1730
0104-3757
reponame:Ensino em Revista
instname:Universidade Federal de Uberlândia (UFU)
instacron:UFU
instname_str Universidade Federal de Uberlândia (UFU)
instacron_str UFU
institution UFU
reponame_str Ensino em Revista
collection Ensino em Revista
repository.name.fl_str_mv Ensino em Revista - Universidade Federal de Uberlândia (UFU)
repository.mail.fl_str_mv ||ensinoemrevista@gmail.com
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