INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS
Linear algebra is an area of mathematics that is widely considered challenging. One of the subjects covered is the system of linear equations in two variables. During their first year of college, Pre-Service Teachers (PST) study this subject using increasingly sophisticated approaches and theories....
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| Format: | Article |
| Language: | Indonesian |
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Universitas Muhammadiyah Metro
2024-09-01
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| Series: | Aksioma: Jurnal Program Studi Pendidikan Matematika |
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| Online Access: | https://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/10388 |
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| author | Sudirman Sudirman Ahmad Hasan Saifurrisal Pradina Parameswari Nego Linuhung |
| author_facet | Sudirman Sudirman Ahmad Hasan Saifurrisal Pradina Parameswari Nego Linuhung |
| author_sort | Sudirman Sudirman |
| collection | DOAJ |
| description | Linear algebra is an area of mathematics that is widely considered challenging. One of the subjects covered is the system of linear equations in two variables. During their first year of college, Pre-Service Teachers (PST) study this subject using increasingly sophisticated approaches and theories. The objective of this qualitative study is to classify and describe the Mathematical Thinking Trajectories (MTT) of PST in solving a system of linear equations in two variables problems. Thirty-three PST majoring in mathematics education who enrolled in the Errors and Misconceptions in Mathematics course participated in this study, which used written answers as research data. The Three Worlds of Mathematics theory framework is used in this study. Seven MTT classifications were identified by the research findings: (1) embodied, (2) symbolic, (3) embodied-symbolic, (4) symbolic-embodied, (5) formal, (6) embodied-symbolic-embodied, and (7) symbolic-embodied-symbolic. “Embodied” refers to how PST applies mathematical ideas that focus on actual objects, “symbolic” focuses on symbols, operations, and their properties, and “formal” focuses on definitions, theorems, and logical procedures. In learning practices, the results of this study can be applied to create learning that is meaningful and that fosters the growth of algebraic thinking abilities. |
| format | Article |
| id | doaj-art-e16de4aca16c43bdaa5e8cb0404763e0 |
| institution | Kabale University |
| issn | 2089-8703 2442-5419 |
| language | Indonesian |
| publishDate | 2024-09-01 |
| publisher | Universitas Muhammadiyah Metro |
| record_format | Article |
| series | Aksioma: Jurnal Program Studi Pendidikan Matematika |
| spelling | doaj-art-e16de4aca16c43bdaa5e8cb0404763e02025-08-20T03:31:15ZindUniversitas Muhammadiyah MetroAksioma: Jurnal Program Studi Pendidikan Matematika2089-87032442-54192024-09-01133997101110.24127/ajpm.v13i3.103883579INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMSSudirman Sudirman0Ahmad Hasan Saifurrisal1Pradina Parameswari2Nego Linuhung3Universitas Negeri MalangUniversitas Negeri MalangUniversitas Negeri MalangUniversitas Negeri MalangLinear algebra is an area of mathematics that is widely considered challenging. One of the subjects covered is the system of linear equations in two variables. During their first year of college, Pre-Service Teachers (PST) study this subject using increasingly sophisticated approaches and theories. The objective of this qualitative study is to classify and describe the Mathematical Thinking Trajectories (MTT) of PST in solving a system of linear equations in two variables problems. Thirty-three PST majoring in mathematics education who enrolled in the Errors and Misconceptions in Mathematics course participated in this study, which used written answers as research data. The Three Worlds of Mathematics theory framework is used in this study. Seven MTT classifications were identified by the research findings: (1) embodied, (2) symbolic, (3) embodied-symbolic, (4) symbolic-embodied, (5) formal, (6) embodied-symbolic-embodied, and (7) symbolic-embodied-symbolic. “Embodied” refers to how PST applies mathematical ideas that focus on actual objects, “symbolic” focuses on symbols, operations, and their properties, and “formal” focuses on definitions, theorems, and logical procedures. In learning practices, the results of this study can be applied to create learning that is meaningful and that fosters the growth of algebraic thinking abilities.https://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/10388algebraic thinkingmathematical thinking trajectorymeaningful learningsystem of linear equationsthree worlds of mathematics theory. |
| spellingShingle | Sudirman Sudirman Ahmad Hasan Saifurrisal Pradina Parameswari Nego Linuhung INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS Aksioma: Jurnal Program Studi Pendidikan Matematika algebraic thinking mathematical thinking trajectory meaningful learning system of linear equations three worlds of mathematics theory. |
| title | INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS |
| title_full | INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS |
| title_fullStr | INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS |
| title_full_unstemmed | INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS |
| title_short | INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS |
| title_sort | investigating pre service teachers pst mathematical thinking trajectories mtt in solving system of linear equations problems |
| topic | algebraic thinking mathematical thinking trajectory meaningful learning system of linear equations three worlds of mathematics theory. |
| url | https://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/10388 |
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