Comparing probabilities in urns: A study with primary school students

The study aimed to explore the strategies used by Costa Rican primary school students when comparing urn probabilities. The sample was intentional and consisted of 55 6th graders. Using an interpretive approach, we analyzed the children’s responses to a questionnaire of five probability comparison i...

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Detalles Bibliográficos
Autores: Hernández-Solís, Luis Armando, Batanero, Carmen, Gea, María M., Álvarez-Arroyo, Rocío
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Costa Rica
Institución:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Idioma:inglés
español
OAI Identifier:oai:ojs.www.una.ac.cr:article/14494
Acceso en línea:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494
Access Level:acceso abierto
Palabra clave:Probability comparison
proportional reasoning
primary education
statistical education
urns
Costa Rica
Comparación de probabilidades
Razonamiento proporcional
Educación primaria
Educación Estadística
Urnas
comparação de probabilidades
raciocínio proporcional
ensino fundamental
educação estatística
urnas
id CR_c9799765caf04a4ebfb9eac7eaeeba94
oai_identifier_str oai:ojs.www.una.ac.cr:article/14494
network_acronym_str CR
network_name_str Costa Rica
repository_id_str
dc.title.none.fl_str_mv Comparing probabilities in urns: A study with primary school students
Comparación de probabilidades en urnas: Un estudio con estudiantes de Educación Primaria
Comparação de probabilidades nas urnas: um estudo com estudantes do ensino fundamental
title Comparing probabilities in urns: A study with primary school students
spellingShingle Comparing probabilities in urns: A study with primary school students
Hernández-Solís, Luis Armando
Probability comparison
proportional reasoning
primary education
statistical education
urns
Costa Rica
Comparación de probabilidades
Razonamiento proporcional
Educación primaria
Educación Estadística
Urnas
Costa Rica
comparação de probabilidades
raciocínio proporcional
ensino fundamental
educação estatística
urnas
Costa Rica
title_short Comparing probabilities in urns: A study with primary school students
title_full Comparing probabilities in urns: A study with primary school students
title_fullStr Comparing probabilities in urns: A study with primary school students
title_full_unstemmed Comparing probabilities in urns: A study with primary school students
title_sort Comparing probabilities in urns: A study with primary school students
dc.creator.none.fl_str_mv Hernández-Solís, Luis Armando
Batanero, Carmen
Gea, María M.
Álvarez-Arroyo, Rocío
author Hernández-Solís, Luis Armando
author_facet Hernández-Solís, Luis Armando
Batanero, Carmen
Gea, María M.
Álvarez-Arroyo, Rocío
author_role author
author2 Batanero, Carmen
Gea, María M.
Álvarez-Arroyo, Rocío
author2_role author
author
author
dc.subject.none.fl_str_mv Probability comparison
proportional reasoning
primary education
statistical education
urns
Costa Rica
Comparación de probabilidades
Razonamiento proporcional
Educación primaria
Educación Estadística
Urnas
Costa Rica
comparação de probabilidades
raciocínio proporcional
ensino fundamental
educação estatística
urnas
Costa Rica
topic Probability comparison
proportional reasoning
primary education
statistical education
urns
Costa Rica
Comparación de probabilidades
Razonamiento proporcional
Educación primaria
Educación Estadística
Urnas
Costa Rica
comparação de probabilidades
raciocínio proporcional
ensino fundamental
educação estatística
urnas
Costa Rica
description The study aimed to explore the strategies used by Costa Rican primary school students when comparing urn probabilities. The sample was intentional and consisted of 55 6th graders. Using an interpretive approach, we analyzed the children’s responses to a questionnaire of five probability comparison items taken from previous studies, including different levels of proportional reasoning. Results indicate that problems in the first levels of proportional reasoning were solved easily by students, while problems at higher levels increased in difficulty. One-variable strategies, which compare only the favorable or unfavorable cases in both urns, are predominant; although there are correspondence strategies, few students show complete proportional reasoning. Aside from slight variations, results are similar to previous studies, which suggests that this task is influenced more by the child’s level of maturity than the instruction received.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-31
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
Papers evaluated by academic peers
Artículos evaluados por pares académicos
artículo original
http://purl.org/coar/resource_type/c_2df8fbb1
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494
10.15359/ru.35-2.9
url https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494
identifier_str_mv 10.15359/ru.35-2.9
dc.language.none.fl_str_mv eng
spa
language eng
spa
dc.relation.none.fl_str_mv https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/20330
https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/20331
https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21450
https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21451
https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21452
https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21453
dc.rights.none.fl_str_mv acceso abierto
http://purl.org/coar/access_right/c_abf2
info:eu-repo/semantics/openAccess
rights_invalid_str_mv acceso abierto
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
text/html
text/html
application/epub+zip
application/epub+zip
dc.publisher.none.fl_str_mv Universidad Nacional, Costa Rica
publisher.none.fl_str_mv Universidad Nacional, Costa Rica
dc.source.none.fl_str_mv Uniciencia; Vol. 35 No. 2 (2021): Uniciencia. July-December, 2021; 1-18
Uniciencia; Vol. 35 Núm. 2 (2021): Uniciencia. Julio-Diciembre, 2021; 1-18
Uniciencia; v. 35 n. 2 (2021): Uniciencia. Julio-Diciembre, 2021; 1-18
2215-3470
reponame:Portal de Revistas UNA
instname:Universidad Nacional de Costa Rica
instacron:UNA
instname_str Universidad Nacional de Costa Rica
instacron_str UNA
institution UNA
reponame_str Portal de Revistas UNA
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repository.name.fl_str_mv Portal de Revistas UNA - Universidad Nacional de Costa Rica
repository.mail.fl_str_mv andrea.mora.campos@una.cr
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spelling Comparing probabilities in urns: A study with primary school studentsComparación de probabilidades en urnas: Un estudio con estudiantes de Educación PrimariaComparação de probabilidades nas urnas: um estudo com estudantes do ensino fundamentalHernández-Solís, Luis ArmandoBatanero, CarmenGea, María M.Álvarez-Arroyo, RocíoProbability comparisonproportional reasoningprimary educationstatistical educationurnsCosta RicaComparación de probabilidadesRazonamiento proporcionalEducación primariaEducación EstadísticaUrnasCosta Ricacomparação de probabilidadesraciocínio proporcionalensino fundamentaleducação estatísticaurnasCosta RicaThe study aimed to explore the strategies used by Costa Rican primary school students when comparing urn probabilities. The sample was intentional and consisted of 55 6th graders. Using an interpretive approach, we analyzed the children’s responses to a questionnaire of five probability comparison items taken from previous studies, including different levels of proportional reasoning. Results indicate that problems in the first levels of proportional reasoning were solved easily by students, while problems at higher levels increased in difficulty. One-variable strategies, which compare only the favorable or unfavorable cases in both urns, are predominant; although there are correspondence strategies, few students show complete proportional reasoning. Aside from slight variations, results are similar to previous studies, which suggests that this task is influenced more by the child’s level of maturity than the instruction received.El objetivo del estudio fue explorar las estrategias que emplean niños y niñas de 6º curso de educación primaria costarricenses al comparar probabilidades en contextos de urnas. La muestra participante fue intencional y estuvo formada por 55 estudiantes de primaria. La investigación tiene un enfoque interpretativo, donde se analizan sus respuestas a un cuestionario formado por cinco ítems de comparación de probabilidades, tomados de investigaciones previas, que tienen en cuenta diferentes niveles de razonamiento proporcional. Los resultados indican que el estudiantado de la muestra resuelve con facilidad los problemas que corresponden a los primeros niveles de razonamiento proporcional, y aumentan su dificultad en los niveles superiores. Predominan las estrategias de una variable, en que se comparan solo los casos favorables o desfavorables de las dos urnas, y aunque aparecen estrategias de correspondencia, es poca la cantidad de estudiantes que muestran un razonamiento proporcional completo. Los resultados son similares, con ligeras variaciones, a los estudios previos, lo que indica que en esta tarea influye más la maduración del alumnado que la enseñanza recibida.O estudo teve como objetivo explorar as estratégias aplicadas por estudantes do 6º ano do ensino fundamental costarriquenho ao comparar probabilidades no contexto das urnas. A amostragem participativa foi intencional e composta por 55 meninos e meninas do ensino fundamental. A pesquisa tem uma abordagem interpretativa, em que são analisadas as respostas desse público em um questionário conformado por cinco itens de comparação de probabilidades, coletados de pesquisas prévias que levam em consideração diferentes níveis de raciocínio proporcional. Os resultados indicam que os estudantes da amostra solucionam facilmente problemas que correspondem aos primeiros níveis de raciocínio proporcional, e aumentam a dificuldade em níveis superiores. São predominantes as estratégias de uma variável, nos quais são comparados somente os casos favoráveis ou desfavoráveis das duas urnas e, ainda que aparecem estratégias de correspondência, é pouca a quantidade de estudantes que demonstram um raciocínio proporcional completo. Os resultados são semelhantes, com ligeiras variações, aos estudos prévios, indicando que nesta tarefa a maturidade da infância influencia mais do que o ensino recebido.Universidad Nacional, Costa Rica2021-07-31info:eu-repo/semantics/publishedVersionPapers evaluated by academic peersArtículos evaluados por pares académicosartículo originalhttp://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articleapplication/pdfapplication/pdftext/htmltext/htmlapplication/epub+zipapplication/epub+ziphttps://www.revistas.una.ac.cr/index.php/uniciencia/article/view/1449410.15359/ru.35-2.9Uniciencia; Vol. 35 No. 2 (2021): Uniciencia. July-December, 2021; 1-18Uniciencia; Vol. 35 Núm. 2 (2021): Uniciencia. Julio-Diciembre, 2021; 1-18Uniciencia; v. 35 n. 2 (2021): Uniciencia. Julio-Diciembre, 2021; 1-182215-3470reponame:Portal de Revistas UNAinstname:Universidad Nacional de Costa Ricainstacron:UNAengspahttps://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/20330https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/20331https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21450https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21451https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21452https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/14494/21453acceso abiertohttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccess2022-06-14T15:40:01Zoai:ojs.www.una.ac.cr:article/14494Portal de revistashttp://revistas.una.ac.cr/Universidadhttp://www.una.ac.crhttps://revistas.una.ac.cr/index.php/index/oaiandrea.mora.campos@una.crCosta RicaNo aplicaNo aplicaNo aplicaopendoar:2022-06-14T15:40:01Portal de Revistas UNA - Universidad Nacional de Costa Ricafalse
score 15,812455

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