Relating students’ proportional reasoning level and their understanding of fair games
This paper analyzes the relationship between proportional reasoning and understanding fair games in Costa Rican students. We conducted a quantitative and qualitative analysis of the answers to six items on comparing ratios of increasing difficulty level and another item on prize estimation in a fair...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sriwijaya University
2023-08-01
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| Series: | Journal on Mathematics Education |
| Subjects: | |
| Online Access: | http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/388 |
| _version_ | 1827787640827543552 |
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| author | María Magdalena Gea Luis Armando Hernández-Solís Carmen Batanero Rocío Álvarez-Arroyo |
| author_facet | María Magdalena Gea Luis Armando Hernández-Solís Carmen Batanero Rocío Álvarez-Arroyo |
| author_sort | María Magdalena Gea |
| collection | DOAJ |
| description | This paper analyzes the relationship between proportional reasoning and understanding fair games in Costa Rican students. We conducted a quantitative and qualitative analysis of the answers to six items on comparing ratios of increasing difficulty level and another item on prize estimation in a fair game. We describe the strategies employed and the semiotic conflicts detected in 292 Costa Rican students from Grades 6 to 10 (11-16-year-olds), comparing the findings with those established in previous research. The results show an increase in the level of proportional reasoning with the grade, although the age at which the higher levels are reached is lower than that assumed by Noelting. The percentage of students applying correct strategies in the fair game problem also increases with grade, and a relationship between the understanding of fair game and the level of proportional reasoning is observed. |
| first_indexed | 2024-03-11T16:51:48Z |
| format | Article |
| id | doaj.art-dd40fe9b148c4e6d874a873b901daf9b |
| institution | Directory Open Access Journal |
| issn | 2087-8885 |
| language | English |
| last_indexed | 2024-03-11T16:51:48Z |
| publishDate | 2023-08-01 |
| publisher | Sriwijaya University |
| record_format | Article |
| series | Journal on Mathematics Education |
| spelling | doaj.art-dd40fe9b148c4e6d874a873b901daf9b2023-10-21T06:29:22ZengSriwijaya UniversityJournal on Mathematics Education2087-88852023-08-0114466368210.22342/jme.v14i4.pp663-682388Relating students’ proportional reasoning level and their understanding of fair gamesMaría Magdalena Gea0https://orcid.org/0000-0002-5229-0121Luis Armando Hernández-Solís1https://orcid.org/0000-0003-2956-8102Carmen Batanero2https://orcid.org/0000-0002-4189-7139Rocío Álvarez-Arroyo3https://orcid.org/0000-0002-3201-8542Mathematics Education Department, University of Granada, Granada, SpainMathematics Education Department, State Distance University, San José, Costa RicaMathematics Education Department, University of Granada, Granada, SpainMathematics Education Department, University of Granada, Granada, SpainThis paper analyzes the relationship between proportional reasoning and understanding fair games in Costa Rican students. We conducted a quantitative and qualitative analysis of the answers to six items on comparing ratios of increasing difficulty level and another item on prize estimation in a fair game. We describe the strategies employed and the semiotic conflicts detected in 292 Costa Rican students from Grades 6 to 10 (11-16-year-olds), comparing the findings with those established in previous research. The results show an increase in the level of proportional reasoning with the grade, although the age at which the higher levels are reached is lower than that assumed by Noelting. The percentage of students applying correct strategies in the fair game problem also increases with grade, and a relationship between the understanding of fair game and the level of proportional reasoning is observed.http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/388evaluationfair gameunderstanding proportional reasoning level |
| spellingShingle | María Magdalena Gea Luis Armando Hernández-Solís Carmen Batanero Rocío Álvarez-Arroyo Relating students’ proportional reasoning level and their understanding of fair games Journal on Mathematics Education evaluation fair game understanding proportional reasoning level |
| title | Relating students’ proportional reasoning level and their understanding of fair games |
| title_full | Relating students’ proportional reasoning level and their understanding of fair games |
| title_fullStr | Relating students’ proportional reasoning level and their understanding of fair games |
| title_full_unstemmed | Relating students’ proportional reasoning level and their understanding of fair games |
| title_short | Relating students’ proportional reasoning level and their understanding of fair games |
| title_sort | relating students proportional reasoning level and their understanding of fair games |
| topic | evaluation fair game understanding proportional reasoning level |
| url | http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/388 |
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