Comparing probabilities in urns: A study with primary school students

Abstract 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 by the instruction received.

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Main Authors: Batanero,Carmen, Hernández-Solís,Luis Armando, Gea,María M., Álvarez-Arroyo,Rocío
Format: Digital revista
Language:English
Published: Universidad Nacional, Costa Rica 2021
Online Access:http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S2215-34702021000200129
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spelling oai:scielo:S2215-347020210002001292021-09-22Comparing probabilities in urns: A study with primary school studentsBatanero,CarmenHernández-Solís,Luis ArmandoGea,María M.Álvarez-Arroyo,Rocío Probability comparison proportional reasoning primary education statistical education urns Costa Rica. Abstract 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 by the instruction received.info:eu-repo/semantics/openAccessUniversidad Nacional, Costa RicaUniciencia v.35 n.2 20212021-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S2215-34702021000200129en10.15359/ru.35-2.9
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country Costa Rica
countrycode CR
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access En linea
databasecode rev-scielo-cr
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region America Central
libraryname SciELO
language English
format Digital
author Batanero,Carmen
Hernández-Solís,Luis Armando
Gea,María M.
Álvarez-Arroyo,Rocío
spellingShingle Batanero,Carmen
Hernández-Solís,Luis Armando
Gea,María M.
Álvarez-Arroyo,Rocío
Comparing probabilities in urns: A study with primary school students
author_facet Batanero,Carmen
Hernández-Solís,Luis Armando
Gea,María M.
Álvarez-Arroyo,Rocío
author_sort Batanero,Carmen
title Comparing probabilities in urns: A study with primary school students
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
description Abstract 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 by the instruction received.
publisher Universidad Nacional, Costa Rica
publishDate 2021
url http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S2215-34702021000200129
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