Double-entry tables: reading and calculating probabilities by high school students
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
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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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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1799944218721910784 |