Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education
The development of probabilistic thinking at school requires enhancing combinatorial and proportional reasoning. For this reason, 190 sixth-grade elementary school students (11–12-year-old), without previous instruction in the topic, solve a task consisting of five questions that address both types...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/8/1340 |
| _version_ | 1797434423448174592 |
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| author | Maria Ricart Assumpta Estrada |
| author_facet | Maria Ricart Assumpta Estrada |
| author_sort | Maria Ricart |
| collection | DOAJ |
| description | The development of probabilistic thinking at school requires enhancing combinatorial and proportional reasoning. For this reason, 190 sixth-grade elementary school students (11–12-year-old), without previous instruction in the topic, solve a task consisting of five questions that address both types of reasoning. This study explores the problem-solving strategies used by schoolchildren. The results obtained indicate that, in general, the students do not show strategies in the answers to the combinatorial questions. In addition, it is observed that they have difficulties in understanding the proposed statements and arguing the issues that explicitly require a justification. |
| first_indexed | 2024-03-09T10:32:01Z |
| format | Article |
| id | doaj.art-6b368185073446499f8938bd1f2e6dfc |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T10:32:01Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-6b368185073446499f8938bd1f2e6dfc2023-12-01T21:12:22ZengMDPI AGMathematics2227-73902022-04-01108134010.3390/math10081340Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary EducationMaria Ricart0Assumpta Estrada1Department of Mathematics, University of Lleida, 25001 Lleida, SpainDepartment of Mathematics, University of Lleida, 25001 Lleida, SpainThe development of probabilistic thinking at school requires enhancing combinatorial and proportional reasoning. For this reason, 190 sixth-grade elementary school students (11–12-year-old), without previous instruction in the topic, solve a task consisting of five questions that address both types of reasoning. This study explores the problem-solving strategies used by schoolchildren. The results obtained indicate that, in general, the students do not show strategies in the answers to the combinatorial questions. In addition, it is observed that they have difficulties in understanding the proposed statements and arguing the issues that explicitly require a justification.https://www.mdpi.com/2227-7390/10/8/1340combinatorial reasoningproportional reasoningprobabilistic thinkingprimary education |
| spellingShingle | Maria Ricart Assumpta Estrada Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education Mathematics combinatorial reasoning proportional reasoning probabilistic thinking primary education |
| title | Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education |
| title_full | Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education |
| title_fullStr | Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education |
| title_full_unstemmed | Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education |
| title_short | Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education |
| title_sort | combinatorial and proportional task looking for intuitive strategies in primary education |
| topic | combinatorial reasoning proportional reasoning probabilistic thinking primary education |
| url | https://www.mdpi.com/2227-7390/10/8/1340 |
| work_keys_str_mv | AT mariaricart combinatorialandproportionaltasklookingforintuitivestrategiesinprimaryeducation AT assumptaestrada combinatorialandproportionaltasklookingforintuitivestrategiesinprimaryeducation |