Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry
This research analyzes the thinking processes of students specializing and generalizing in solving problems related to three-dimensional geometry. The objective of this research is to clearly identify how the cognitive processes of specializing and generalizing assist students in comprehending and s...
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| Format: | Article |
| Language: | English |
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Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam Malang
2025-07-01
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| Series: | Jurnal Pendidikan Matematika (JPM) |
| Subjects: | |
| Online Access: | https://riset.unisma.ac.id/index.php/jpm/article/view/23346 |
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| author | Moh. Fauzi Jamiludin Abi Suwito Susanto Frenza |
| author_facet | Moh. Fauzi Jamiludin Abi Suwito Susanto Frenza |
| author_sort | Moh. Fauzi Jamiludin |
| collection | DOAJ |
| description | This research analyzes the thinking processes of students specializing and generalizing in solving problems related to three-dimensional geometry. The objective of this research is to clearly identify how the cognitive processes of specializing and generalizing assist students in comprehending and solving problems related to three-dimensional geometry. This study employed a descriptive qualitative method to investigate students’ problem-solving processes in three-dimensional geometry. Two ninth-grade students were selected through purposive sampling based on their mathematical abilities. Data were collected through task-based interviews and analyzed using qualitative coding to identify key problem-solving strategies and cognitive processes based on their ability to demonstrate specializing and generalizing thinking. Data were collected through geometry problem-solving tasks and unstructured interviews, and analyzed using Stacey’s cognitive framework of mathematical thinking. The result of study reveal that the students demonstrated two distinct forms of schematic representation in their problem-solving processes. Subject 1 employed a pure schematic representation and subject 2 utilized a mixed schematic representation. These two forms of representation enable students to identify patterns and apply the concepts they have learned in a broader context. The findings indicate that students exhibit distinct cognitive patterns in specializing and generalizing, with a predominant reliance on visual reasoning in spatial geometry problem-solving. While some students transition effectively between these two processes, others face difficulties in generalizing abstract concepts |
| format | Article |
| id | doaj-art-b129c26256c84d8c83704db46daa4f05 |
| institution | Kabale University |
| issn | 2442-4668 2656-4564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam Malang |
| record_format | Article |
| series | Jurnal Pendidikan Matematika (JPM) |
| spelling | doaj-art-b129c26256c84d8c83704db46daa4f052025-08-20T03:36:10ZengDepartment of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam MalangJurnal Pendidikan Matematika (JPM)2442-46682656-45642025-07-0111110711610.33474/jpm.v11i1.2334620901Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional GeometryMoh. Fauzi Jamiludin0Abi Suwito1Susanto2Frenza3Universitas JemberUniversitas JemberUniversitas JemberUniversitas JemberThis research analyzes the thinking processes of students specializing and generalizing in solving problems related to three-dimensional geometry. The objective of this research is to clearly identify how the cognitive processes of specializing and generalizing assist students in comprehending and solving problems related to three-dimensional geometry. This study employed a descriptive qualitative method to investigate students’ problem-solving processes in three-dimensional geometry. Two ninth-grade students were selected through purposive sampling based on their mathematical abilities. Data were collected through task-based interviews and analyzed using qualitative coding to identify key problem-solving strategies and cognitive processes based on their ability to demonstrate specializing and generalizing thinking. Data were collected through geometry problem-solving tasks and unstructured interviews, and analyzed using Stacey’s cognitive framework of mathematical thinking. The result of study reveal that the students demonstrated two distinct forms of schematic representation in their problem-solving processes. Subject 1 employed a pure schematic representation and subject 2 utilized a mixed schematic representation. These two forms of representation enable students to identify patterns and apply the concepts they have learned in a broader context. The findings indicate that students exhibit distinct cognitive patterns in specializing and generalizing, with a predominant reliance on visual reasoning in spatial geometry problem-solving. While some students transition effectively between these two processes, others face difficulties in generalizing abstract conceptshttps://riset.unisma.ac.id/index.php/jpm/article/view/23346pure schematic representationmixed schematic representationspecializing and generalizingthree-dimensional geometry |
| spellingShingle | Moh. Fauzi Jamiludin Abi Suwito Susanto Frenza Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry Jurnal Pendidikan Matematika (JPM) pure schematic representation mixed schematic representation specializing and generalizing three-dimensional geometry |
| title | Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry |
| title_full | Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry |
| title_fullStr | Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry |
| title_full_unstemmed | Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry |
| title_short | Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry |
| title_sort | analysis of students specializing and generalizing thinking in three dimensional geometry |
| topic | pure schematic representation mixed schematic representation specializing and generalizing three-dimensional geometry |
| url | https://riset.unisma.ac.id/index.php/jpm/article/view/23346 |
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