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Comparison Strategies by Quotient and the Urn Model in the Choice of Probabilities = Estrategias de comparación por cociente y el modelo de urna en la elección de probabilidades

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Title: Comparison Strategies by Quotient and the Urn Model in the Choice of Probabilities = Estrategias de comparación por cociente y el modelo de urna en la elección de probabilidades
Language: English
Spanish
Authors: Aguas-Hidalgo, Maribel, Quintero-Zazueta, Ricardo
Source: North American Chapter of the International Group for the Psychology of Mathematics Education. 2021 (pter).
Availability: North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Peer Reviewed: Y
Page Count: 15
Publication Date: 2020
Document Type: Speeches/Meeting Papers
Reports - Research
Multilingual/Bilingual Materials
Education Level: Secondary Education
Descriptors: Decision Making, Mathematics Instruction, Models, Secondary School Students, Comparative Analysis, Probability, Foreign Countries
Geographic Terms: Mexico (Mexico City)
Abstract: In this research, quotient strategies and their influence on decision-making in situations that involve the comparison of probabilities are analyzed. In order to achieve this, classical probability situations modeled with urns were designed. In each situation, two urns with simple extraction, involving or not proportional relationships, were proposed to third grade secondary school students. The analysis was carried out through the categorization of the results based on the relationships established between the components of the urns (favorable, unfavorable and possible cases). The study concluded that when comparing probabilities, students not only resort to the quotient (ratio): favorable case numbers among the number of possible cases to make their choice, but to others where they also include unfavorable cases. [For the complete proceedings, see ED629884.]
Abstractor: As Provided
Entry Date: 2023
Accession Number: ED629996
Database: ERIC
FullText Text:
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  Data: Comparison Strategies by Quotient and the Urn Model in the Choice of Probabilities = Estrategias de comparación por cociente y el modelo de urna en la elección de probabilidades
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  Data: North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
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  Data: In this research, quotient strategies and their influence on decision-making in situations that involve the comparison of probabilities are analyzed. In order to achieve this, classical probability situations modeled with urns were designed. In each situation, two urns with simple extraction, involving or not proportional relationships, were proposed to third grade secondary school students. The analysis was carried out through the categorization of the results based on the relationships established between the components of the urns (favorable, unfavorable and possible cases). The study concluded that when comparing probabilities, students not only resort to the quotient (ratio): favorable case numbers among the number of possible cases to make their choice, but to others where they also include unfavorable cases. [For the complete proceedings, see ED629884.]
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      – Text: Spanish
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