Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis
The concept of exponentials and logarithms is one of the essential concepts in mathematics as part of transcendent functions. However, students' understanding of these two concepts has yet to be fully mastered, so there are still errors in solving problems related to these two concepts. This st...
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| Format: | Article |
| Language: | Indonesian |
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Universitas Hamzanwadi
2024-10-01
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| Series: | Jurnal Elemen |
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| Online Access: | https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/26775 |
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| author | Yuvita Andriani Kusumadewi Riki Andriatna |
| author_facet | Yuvita Andriani Kusumadewi Riki Andriatna |
| author_sort | Yuvita Andriani Kusumadewi |
| collection | DOAJ |
| description | The concept of exponentials and logarithms is one of the essential concepts in mathematics as part of transcendent functions. However, students' understanding of these two concepts has yet to be fully mastered, so there are still errors in solving problems related to these two concepts. This study aims to describe the meaning and meaning process and explore the potential learning obstacles of students based on the meaning and experience of students in obtaining the meaning of exponents and logarithms in senior high school. This qualitative study uses a hermeneutic phenomenological approach with student participants and high school mathematics teachers. Data was collected using tests, documentation, and interviews with students and teachers. Data were analyzed qualitatively to identify learning obstacles and the meaning of exponentials and logarithms. The results showed the meaning of exponents and logarithms according to students, namely exponents as power numbers and logarithms as the opposite of power numbers. In addition, the results also show the existence of learning obstacles in students, both ontogenic, epistemological, and didactic. Based on the findings, these learning obstacles can be considered when developing an appropriate didactic design. |
| format | Article |
| id | doaj-art-da0e4ab8132d487aba131bbc163bf14f |
| institution | Kabale University |
| issn | 2442-4226 |
| language | Indonesian |
| publishDate | 2024-10-01 |
| publisher | Universitas Hamzanwadi |
| record_format | Article |
| series | Jurnal Elemen |
| spelling | doaj-art-da0e4ab8132d487aba131bbc163bf14f2025-02-01T08:22:44ZindUniversitas HamzanwadiJurnal Elemen2442-42262024-10-0110363065110.29408/jel.v10i3.2677534017Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysisYuvita Andriani Kusumadewi0Riki Andriatna1Universitas Sebelas MaretUniversitas Sebelas MaretThe concept of exponentials and logarithms is one of the essential concepts in mathematics as part of transcendent functions. However, students' understanding of these two concepts has yet to be fully mastered, so there are still errors in solving problems related to these two concepts. This study aims to describe the meaning and meaning process and explore the potential learning obstacles of students based on the meaning and experience of students in obtaining the meaning of exponents and logarithms in senior high school. This qualitative study uses a hermeneutic phenomenological approach with student participants and high school mathematics teachers. Data was collected using tests, documentation, and interviews with students and teachers. Data were analyzed qualitatively to identify learning obstacles and the meaning of exponentials and logarithms. The results showed the meaning of exponents and logarithms according to students, namely exponents as power numbers and logarithms as the opposite of power numbers. In addition, the results also show the existence of learning obstacles in students, both ontogenic, epistemological, and didactic. Based on the findings, these learning obstacles can be considered when developing an appropriate didactic design.https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/26775exponentialhermeneutic phenomenologicallogarithmlearning obstacle |
| spellingShingle | Yuvita Andriani Kusumadewi Riki Andriatna Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis Jurnal Elemen exponential hermeneutic phenomenological logarithm learning obstacle |
| title | Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis |
| title_full | Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis |
| title_fullStr | Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis |
| title_full_unstemmed | Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis |
| title_short | Conceptual images and learning obstacles in exponentiation and logarithms: A hermeneutic phenomenological analysis |
| title_sort | conceptual images and learning obstacles in exponentiation and logarithms a hermeneutic phenomenological analysis |
| topic | exponential hermeneutic phenomenological logarithm learning obstacle |
| url | https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/26775 |
| work_keys_str_mv | AT yuvitaandrianikusumadewi conceptualimagesandlearningobstaclesinexponentiationandlogarithmsahermeneuticphenomenologicalanalysis AT rikiandriatna conceptualimagesandlearningobstaclesinexponentiationandlogarithmsahermeneuticphenomenologicalanalysis |