Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation
First-order Ordinary Differential Equation (ODE) has many applications in physics, engineering, biology, economics, and ecology. Therefore, mastering the concepts and methods of solving ODE is essential for students to be able to apply mathematics in solving real-world problems. However, the teachin...
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Institut Keguruan dan Ilmu Pendidikan Siliwangi; Indonesia Mathematics Educators' Society
2025-07-01
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| Series: | Infinity |
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| Online Access: | https://e-journal.stkipsiliwangi.ac.id/index.php/infinity/article/view/5659 |
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| author | Yarman Yarman Dewi Murni Fridgo Tasman |
| author_facet | Yarman Yarman Dewi Murni Fridgo Tasman |
| author_sort | Yarman Yarman |
| collection | DOAJ |
| description | First-order Ordinary Differential Equation (ODE) has many applications in physics, engineering, biology, economics, and ecology. Therefore, mastering the concepts and methods of solving ODE is essential for students to be able to apply mathematics in solving real-world problems. However, the teaching of first-order ODE has not paid attention to practical applications, so that students have difficulty linking theory with real cases. This study aims to analyze the implementation of the SOLO taxonomy and Newman Error Analysis (NEA) in first-order ODE. The methodology used is a case study. The research subjects consisted of nine students of the mathematics department of FMIPA Universitas Negeri Padang. Data were collected through tests, interviews, and documentation. Then the data were analysed quantitatively and qualitatively. The results showed that there were five errors in solving first-order ODE made by students, namely Reading Errors (RE), Comprehension Errors (CE), Transformation Errors (TE), Process Skill Errors (PE), and Encoding Errors (EE). Some of the causes of these errors include students' low ability to read mathematical symbols, students' inaccuracy, not being able to use algorithms correctly, not mastering the concepts of algebra, differential, and integral, as well as not understanding in determining the systematic solution of the problem and not being accustomed to writing the final answer. This information can be used as a guideline for lecturers in designing strategies and lecture designs for first-order ODE. |
| format | Article |
| id | doaj-art-86c4bcd5b6dc490a93e2dbc6e732cc1a |
| institution | DOAJ |
| issn | 2089-6867 2460-9285 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Institut Keguruan dan Ilmu Pendidikan Siliwangi; Indonesia Mathematics Educators' Society |
| record_format | Article |
| series | Infinity |
| spelling | doaj-art-86c4bcd5b6dc490a93e2dbc6e732cc1a2025-08-20T02:39:16ZengInstitut Keguruan dan Ilmu Pendidikan Siliwangi; Indonesia Mathematics Educators' SocietyInfinity2089-68672460-92852025-07-0114369571010.22460/infinity.v14i3.p695-7104905Implementation of SOLO taxonomy and Newman error analysis in first-order differential equationYarman Yarman0https://orcid.org/0009-0005-6530-8203Dewi Murni1Fridgo Tasman2https://orcid.org/0000-0001-5539-050XDepartment of Mathematics, Universitas Negeri PadangDepartment of Mathematics, Universitas Negeri PadangDepartment of Mathematics, Universitas Negeri PadangFirst-order Ordinary Differential Equation (ODE) has many applications in physics, engineering, biology, economics, and ecology. Therefore, mastering the concepts and methods of solving ODE is essential for students to be able to apply mathematics in solving real-world problems. However, the teaching of first-order ODE has not paid attention to practical applications, so that students have difficulty linking theory with real cases. This study aims to analyze the implementation of the SOLO taxonomy and Newman Error Analysis (NEA) in first-order ODE. The methodology used is a case study. The research subjects consisted of nine students of the mathematics department of FMIPA Universitas Negeri Padang. Data were collected through tests, interviews, and documentation. Then the data were analysed quantitatively and qualitatively. The results showed that there were five errors in solving first-order ODE made by students, namely Reading Errors (RE), Comprehension Errors (CE), Transformation Errors (TE), Process Skill Errors (PE), and Encoding Errors (EE). Some of the causes of these errors include students' low ability to read mathematical symbols, students' inaccuracy, not being able to use algorithms correctly, not mastering the concepts of algebra, differential, and integral, as well as not understanding in determining the systematic solution of the problem and not being accustomed to writing the final answer. This information can be used as a guideline for lecturers in designing strategies and lecture designs for first-order ODE.https://e-journal.stkipsiliwangi.ac.id/index.php/infinity/article/view/5659newman error analysisordinary differential equationsolo taxonomy |
| spellingShingle | Yarman Yarman Dewi Murni Fridgo Tasman Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation Infinity newman error analysis ordinary differential equation solo taxonomy |
| title | Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation |
| title_full | Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation |
| title_fullStr | Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation |
| title_full_unstemmed | Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation |
| title_short | Implementation of SOLO taxonomy and Newman error analysis in first-order differential equation |
| title_sort | implementation of solo taxonomy and newman error analysis in first order differential equation |
| topic | newman error analysis ordinary differential equation solo taxonomy |
| url | https://e-journal.stkipsiliwangi.ac.id/index.php/infinity/article/view/5659 |
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