The effectiveness of goal-free problems for studying triangle similarity in collaborative groups
Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free proble...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | UMS Journal (OJS) |
| Language: | eng |
| Published: |
Universitas Muhammadiyah Surakarta
2020
|
| Subjects: | |
| Online Access: | https://journals.ums.ac.id/index.php/jramathedu/article/view/11198 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1805342444116508672 |
|---|---|
| author | Purnama, Pratama Wahyu Retnowati, Endah |
| author_facet | Purnama, Pratama Wahyu Retnowati, Endah |
| author_sort | Purnama, Pratama Wahyu |
| collection | OJS |
| description | Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free problems is suggested since it can minimize cognitive load. This research examined the effectiveness of presenting similarity inquiries using goal-free problems for learning by collaboration. Using a factorial design: 2 presentation techniques (goal-free vs. goal-given problems) x 2 groupings (collaborative vs. individual) in authentic classrooms, the experiment consisted of four consecutive phases: introductory, learning phase, retention test, and transfer test. One-hundred eleven eighth-graders from four classrooms in a junior high school in Yogyakarta, Indonesia, served as research participants. The findings showed that students who were learning using goal-free problems possessed significantly higher scores of retention and transfer tests, as well as experience lower cognitive load during both tests. On the contrary, it was found that studying individually yielded a significantly higher transfer score than studying collaboratively. Since there was no interaction effect, it may be concluded that goal-free problems can be effective for either collaborative or individual learning. |
| format | UMS Journal (OJS) |
| id | oai:ojs2.journals.ums.ac.id:article-11198 |
| institution | Universitas Muhammadiyah Surakarta |
| language | eng |
| publishDate | 2020 |
| publisher | Universitas Muhammadiyah Surakarta |
| record_format | ojs |
| spelling | oai:ojs2.journals.ums.ac.id:article-11198 The effectiveness of goal-free problems for studying triangle similarity in collaborative groups Purnama, Pratama Wahyu Retnowati, Endah Mathematics Education Geometry, goal-free problems, cognitive load, collaborative learning Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free problems is suggested since it can minimize cognitive load. This research examined the effectiveness of presenting similarity inquiries using goal-free problems for learning by collaboration. Using a factorial design: 2 presentation techniques (goal-free vs. goal-given problems) x 2 groupings (collaborative vs. individual) in authentic classrooms, the experiment consisted of four consecutive phases: introductory, learning phase, retention test, and transfer test. One-hundred eleven eighth-graders from four classrooms in a junior high school in Yogyakarta, Indonesia, served as research participants. The findings showed that students who were learning using goal-free problems possessed significantly higher scores of retention and transfer tests, as well as experience lower cognitive load during both tests. On the contrary, it was found that studying individually yielded a significantly higher transfer score than studying collaboratively. Since there was no interaction effect, it may be concluded that goal-free problems can be effective for either collaborative or individual learning. Universitas Muhammadiyah Surakarta 2020-12-16 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion quantitative research application/pdf https://journals.ums.ac.id/index.php/jramathedu/article/view/11198 10.23917/jramathedu.v6i1.11198 JRAMathEdu (Journal of Research and Advances in Mathematics Education); Volume 6 Issue 1 January 2021; 32-45 2541-2590 2503-3697 10.23917/jramathedu.v6i1 eng https://journals.ums.ac.id/index.php/jramathedu/article/view/11198/6167 Mathematics education Copyright (c) 2020 Pratama Wahyu Purnama, Endah Retnowati http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Mathematics Education Geometry, goal-free problems, cognitive load, collaborative learning Purnama, Pratama Wahyu Retnowati, Endah The effectiveness of goal-free problems for studying triangle similarity in collaborative groups |
| title | The effectiveness of goal-free problems for studying triangle similarity in collaborative groups |
| title_full | The effectiveness of goal-free problems for studying triangle similarity in collaborative groups |
| title_fullStr | The effectiveness of goal-free problems for studying triangle similarity in collaborative groups |
| title_full_unstemmed | The effectiveness of goal-free problems for studying triangle similarity in collaborative groups |
| title_short | The effectiveness of goal-free problems for studying triangle similarity in collaborative groups |
| title_sort | effectiveness of goal free problems for studying triangle similarity in collaborative groups |
| topic | Mathematics Education Geometry, goal-free problems, cognitive load, collaborative learning |
| topic_facet | Mathematics Education Geometry, goal-free problems, cognitive load, collaborative learning |
| url | https://journals.ums.ac.id/index.php/jramathedu/article/view/11198 |
| work_keys_str_mv | AT purnamapratamawahyu theeffectivenessofgoalfreeproblemsforstudyingtrianglesimilarityincollaborativegroups AT retnowatiendah theeffectivenessofgoalfreeproblemsforstudyingtrianglesimilarityincollaborativegroups AT purnamapratamawahyu effectivenessofgoalfreeproblemsforstudyingtrianglesimilarityincollaborativegroups AT retnowatiendah effectivenessofgoalfreeproblemsforstudyingtrianglesimilarityincollaborativegroups |