Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style
Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation i...
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| Format: | UMS Journal (OJS) |
| Language: | eng |
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Universitas Muhammadiyah Surakarta
2020
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| Online Access: | https://journals.ums.ac.id/index.php/jramathedu/article/view/9983 |
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| author | Nugroho, Aryo Andri Nizaruddin, Nizaruddin Dwijayanti, Ida Tristianti, Anggi |
| author_facet | Nugroho, Aryo Andri Nizaruddin, Nizaruddin Dwijayanti, Ida Tristianti, Anggi |
| author_sort | Nugroho, Aryo Andri |
| collection | OJS |
| description | Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from cognitive style. Qualitative research was used as a procedure of the study. The data was collected through MFFT questionnaires, mathematics problem tests, and interviews. This research involved 31 eighth-grade students at one of junior high school in Kendal regency, Central Java. Those two subjects represented the reflective and impulsive cognitive styles that have been selected based on their mathematical abilities. The data was analyzed through iterative method. The results of the study showed that both subjects demonstrated a different performance in solving problem. In term of fluency, both subjects used visual representations in interpreting information. On the originality, the reflective subject used symbolic representations. while the impulsive one used symbolic and verbal representations in constructing the mathematical expressions. However, both of them have not yet created new ideas in solving problems. Moreover, on the flexibility, these both subjects used visual and symbolic representations that could solve the problems by utilizing the environment objects towards the interpret problems into mathematical expressions. However, the reflective subject made a mistake in elaborating the formula as well as the impulsive subject can do it. These results indicated that both subjects have used the representation of each indicator of creative thinking in solving problems. |
| format | UMS Journal (OJS) |
| id | oai:ojs2.journals.ums.ac.id:article-9983 |
| institution | Universitas Muhammadiyah Surakarta |
| language | eng |
| publishDate | 2020 |
| publisher | Universitas Muhammadiyah Surakarta |
| record_format | ojs |
| spelling | oai:ojs2.journals.ums.ac.id:article-9983 Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style Nugroho, Aryo Andri Nizaruddin, Nizaruddin Dwijayanti, Ida Tristianti, Anggi Pendidikan Matematika Creative thinking process, representation, cognitive style, reflective, impulsive Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from cognitive style. Qualitative research was used as a procedure of the study. The data was collected through MFFT questionnaires, mathematics problem tests, and interviews. This research involved 31 eighth-grade students at one of junior high school in Kendal regency, Central Java. Those two subjects represented the reflective and impulsive cognitive styles that have been selected based on their mathematical abilities. The data was analyzed through iterative method. The results of the study showed that both subjects demonstrated a different performance in solving problem. In term of fluency, both subjects used visual representations in interpreting information. On the originality, the reflective subject used symbolic representations. while the impulsive one used symbolic and verbal representations in constructing the mathematical expressions. However, both of them have not yet created new ideas in solving problems. Moreover, on the flexibility, these both subjects used visual and symbolic representations that could solve the problems by utilizing the environment objects towards the interpret problems into mathematical expressions. However, the reflective subject made a mistake in elaborating the formula as well as the impulsive subject can do it. These results indicated that both subjects have used the representation of each indicator of creative thinking in solving problems. Universitas Muhammadiyah Surakarta 2020-06-28 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion kualitatif application/pdf https://journals.ums.ac.id/index.php/jramathedu/article/view/9983 10.23917/jramathedu.v5i2.9983 JRAMathEdu (Journal of Research and Advances in Mathematics Education); Volume 5 Issue 2 June 2020; 202-217 2541-2590 2503-3697 10.23917/jramathedu.v5i2 eng https://journals.ums.ac.id/index.php/jramathedu/article/view/9983/5601 https://journals.ums.ac.id/index.php/jramathedu/article/downloadSuppFile/9983/1494 Pendidikan Matematika Pembelajaran Matematika student Copyright (c) 2020 Aryo Andri Nugroho, Nizaruddin Nizaruddin, Nizaruddin Nizaruddin, Anggi Tristianti, Anggi Tristianti http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Pendidikan Matematika Creative thinking process, representation, cognitive style, reflective, impulsive Nugroho, Aryo Andri Nizaruddin, Nizaruddin Dwijayanti, Ida Tristianti, Anggi Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| title | Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| title_full | Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| title_fullStr | Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| title_full_unstemmed | Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| title_short | Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| title_sort | exploring students creative thinking in the use of representations in solving mathematical problems based on cognitive style |
| topic | Pendidikan Matematika Creative thinking process, representation, cognitive style, reflective, impulsive |
| topic_facet | Pendidikan Matematika Creative thinking process, representation, cognitive style, reflective, impulsive |
| url | https://journals.ums.ac.id/index.php/jramathedu/article/view/9983 |
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