Main Article Content
Abstract
This study aims to analyze student’s mathematical concept understanding ability on function material in class XI of SMA Islam Sabilurrosyad Gasek Malang in the 2024/2025 Academic Year. The research method used is a qualitative approach with a case study. Data were collected through interviews with teachers and students, classroom observations, and concept understanding tests. Interviews were conducted to explore factors that influence student understanding, observations were used to see student interactions with the material and teaching methods applied, and tests were used to identify student misconceptions. The collected data were analyzed to determine the main themes related to student’s difficulties in understanding the concept of functions and the misconceptions that occurred. The study results showed that there were difficulties for students in understanding the concept of functions, which were caused by factors such as ineffective teaching methods and a lack of practice. Based on these findings, it is recommended that teachers improve their teaching methods and provide more varied exercises to improve student understanding. The implications of this study show the importance of an interactive and contextual teaching approach in conveying mathematical concepts. As a practical recommendation, teachers are advised to use visual learning media and provide constructive feedback to help students build a deeper understanding of concepts.
Keywords
Article Details
References
- Amaral, R., & Mazzi, L. (2024). Mathematical Concept Representations in the Early Years of School: Analyzing Student’s Errors. Alexandria: Revista de Educação em Ciência e Tecnologia. https://doi.org/10.5007/1982-5153.2024.e93256.
- Andriani, T., Suastika, I. K., & Sesanti, N. R. (2017). Analisis kesalahan konsep matematika siswa dalam menyelesaikan soal Trigonometri kelas X TKJ SMKN 1 Gempol Tahun Pelajaran 2016/2017. Pi: Mathematics Education Journal, 1(1), 34–39. https://doi.org/10.21067/pmej.v1i1.1998
- Asmida, A., Hartoyo, A., & Sugiatno, S. (2018). Developing The Mathematics Conceptual Understanding and Procedural Fluency through Didactical Anticipatory Approach Equipped with Teaching AIDS. JETL (Journal Of Education, Teaching and Learning). https://doi.org/10.26737/JETL.V3I2.796.
- Assyakurrohim, D., Ikhram, D., Sirodj, R. A., & Afgani, M. W. (2022). Metode studi kasus dalam penelitian kualitatif. Jurnal Pendidikan Sains dan Komputer, 3(01), 1–9. https://doi.org/10.47709/jpsk.v3i01.1951
- Azizah, Z., Taqwa, M. R. A., & Assalam, I. T. (2020). Analisis pemahaman konsep fisika peserta didik menggunakan isntrumen berbantukan quizizz. Edu Sains Jurnal Pendidikan Sains & Matematika, 8(2), 1–11. https://doi.org/10.23971/eds.v8i2.1707
- Fitriyani, N., & Fadhilah, N. (2019). Analisis pemahaman konsep matematis siswa pada materi fungsi. Jurnal Ilmiah Pendidikan Matematika, 8(2), 156–163. https://doi.org/10.25273/jipm.v8i2.3998
- George, F., Rzyankina, E., & Simpson, Z. (2024). Enhancing Conceptual Understanding in Engineering Mathematics Through E-Textbooks. IEEE Transactions on Education, 67, 534-541. https://doi.org/10.1109/TE.2024.3387102.
- Giawa, L., Gee, E., & Harefa, D. (2022). Analisis kemampuan pemahaman konsep matematis siswa pada materi bentuk pangkat dan akar di kelas XI SMA Negeri 1 Ulususua tahun pembelajaran 2021/2022. AFORE : Jurnal Pendidikan Matematika, 1(1), 64–77. https://doi.org/10.57094/afore.v1i1.437
- Hussein, Y. (2022). Conceptual Knowledge and Its Importance in Teaching Mathematics. Middle Eastern Journal of Research in Education and Social Sciences. https://doi.org/10.47631/mejress.v3i1.445.
- Kania, N., Bonyah, E., & Fitriani, C. (2023). Analysis of Student’s Critical Thinking Skills Based on Prior Knowledge Mathematics. International Journal of Contemporary Studies in Education (IJ-CSE). https://doi.org/10.56855/ijcse.v2i1.248.
- Khairani, B. P., & Roza, Y. (2021). Analisis kemampuan pemahaman konsep matematis siswa kelas XI SMA/MA pada materi barisan dan deret. Jurnal Pendidikan Matematika, 05(02), 1578–1587. https://doi.org/10.31949/educatio.v10i2.7131
- Kunwar, R., & C., L. (2023). An Overview of Strategies for Conceptualizing Derivative and their Applications in Daily Life for Secondary-Level Mathematics Students. South Asian Research Journal of Engineering and Technology. https://doi.org/10.36346/sarjet.2023.v05i05.003.
- Larsson, M., Kaufmann, O., & Ryve, A. (2022). Teachers’ Error-handling Practices Within and Across Lesson Phases in the Mathematics Classroom. International Journal of Science and Mathematics Education, 21, 1289-1314. https://doi.org/10.1007/s10763-022-10294-2.
- Lestari, H. E., & Yudhanegara, M. R. (2015). Penelitian pendidikan matematika. Bandung: Refika Aditama.
- Lumbantobing, H., Kho, R., & Solihati, T. (2024). The impact of problem-based learning on motivation and mathematics outcome for sixth-grade students. Journal of Honai Math. https://doi.org/10.30862/jhm.v7i3.693.
- Mahmoud, E., Al-Mutawah, M., Fateel, M., Thomas, R., & Eid, A. (2019). Conceptual Understanding, Procedural Knowledge and Problem-Solving Skills in Mathematics: High School Graduates Work Analysis and Standpoints. International Journal of Education and Practice. https://doi.org/10.18488/journal.61.2019.73.258.273.
- Student’s mathematical concept understanding ability in the material of functions of class XI of SMA ……. 91
- Meinarni, W., & Nuryadil, M. (2022). Analisis pemahaman konsep matematika siswa sma kelas x pada materi logaritma ditinjau dari kemampuan awal matematika.
- Min, C., Zhu, Y., & Li, L. (2025)
- Meinarni, W., & Nuryadil, M. (2022). Analisis pemahaman konsep matematika siswa sma kelas x pada materi logaritma ditinjau dari kemampuan awal matematika.
- Min, C., Zhu, Y., & Li, L. (2025). Exploration and Practice of "Problem-oriented + Discussion-based" Classroom Teaching Reform: A Case Study of the Ideological and Political Theory Course Basic Principles of Marxism. Frontiers in Educational Research. https://doi.org/10.25236/fer.2025.080208.
- Muganga, L., & Ssenkusu, P. (2019). Teacher-Centered vs. Student-Centered. Cultural and Pedagogical Inquiry. https://doi.org/10.18733/cpi29481.
- Nahdi, D., & Jatisunda, M. (2020). Conceptual Understanding And Procedural Knowledge: A Case Study on Learning Mathematics of Fractional Material in Elementary School. , 1477, 042037. https://doi.org/10.1088/1742-6596/1477/4/042037.
- Ncube, M., & Luneta, K. (2025). Concept-based instruction: Improving learner performance in mathematics through conceptual understanding. Pythagoras. https://doi.org/10.4102/pythagoras.v46i1.815.
- Nkepah, B. (2024). Analytical Thinking and Mathematics Performance: Insights from Mezam Division, Cameroon. Asian Research Journal of Arts & Social Sciences. https://doi.org/10.9734/arjass/2024/v22i9569.
- Nugroho, S. E., & Saragih, S. (2017). Pengaruh model pembelajaran berbasis masalah terhadap kemampuan pemecahan masalah matematis dan self-efficacy siswa. Jurnal Pendidikan Matematika, 11(1), 1–10. https://doi.org/10.24114/jpm.v11i1.7077
- Pratiwi, V. E., & Tsurayya, A. (2023). Analisis Kemampuan Pemahaman Konsep Ditinjau Dari Kecerdasan Logis Matematis Pada Materi Fungsi Komposisi. JTMT: Journal Tadris Matematika, 4(1), 94–102. https://doi.org/10.47435/jtmt.v4i1.1820
- Rizqi, H., & Setiawati, T. (2025). The Effect of Problem Based Learning Assisted by Spin Happy Media on Student’s Conceptual Understanding. Jurnal PAJAR (Pendidikan dan Pengajaran). https://doi.org/10.33578/pjr.v9i2.10206.
- Sari, A. P., & Suryadi, D. (2018). Analisis kesalahan siswa dalam menyelesaikan soal matematika berdasarkan taksonomi SOLO. Jurnal Pendidikan Matematika Indonesia, 3(2), 67–74. https://doi.org/10.26737/jpmi.v3i2.708
- Sari, W. P. (2024). Analisis kemampuan kognitif calon guru SD dalam pembelajaran konsep IPA jenjang kelas tinggi. 6, 11–21. https://doi.org/10.47945/misool.v6i1.1686
- Sarlina. (2015). Miskonsepsi Siswa terhadap Pemahaman Konsep Matematika pada Pokok Bahasan Persamaan Kuadrat. MaPan: Jurnal Matematika dan Pembelajaran, 3(2). https://doi.org/10.24252/mapan.2015v3n2a5
- Wahyuni, D., & Hidayat, R. (2020). Miskonsepsi siswa dalam memahami konsep fungsi matematika. Mosharafa: Jurnal Pendidikan Matematika, 9(1), 1–12. https://doi.org/10.31980/mosharafa.v9i1.568
- Wahyuni, D., Suryadi, D., & Herman, T. (2021). Pembelajaran berbasis konteks dalam meningkatkan pemahaman konsep matematika. Jurnal Pendidikan Matematika dan Sains, 9(1), 45–54. https://doi.org/10.30595/jpms.v9i1.9104
- Wahyuni, I., & Alfiana, E. (2022). Analisis kemampuan eksplorasi matematis siswa kelas x pada materi fungsi komposisi. 8.
- Webb, N., Franke, M., Fernandez, C., Turrou, A., Wong, J., Ing, M., & Shin, N. (2015). Student participation in elementary mathematics classrooms: the missing link between teacher practices and student achievement?. Educational Studies in Mathematics, 90, 341-356. https://doi.org/10.1007/S10649-015-9625-Z.
- Widya, S., Damanik, A., Novita, N., Sakdiah, H., & Ginting, F. (2024). Interactive Audio-Visual Learning Media Through Articulate Storylines Containing Problem-Based Contextual Learning to Improve tudent’s HOTS and Scientific Attitudes. International Journal of Religion. https://doi.org/10.61707/z5c4xg78.
- Yang, Z., Yang, X., Wang, K., Pei, G., Xu, B., & Zhang, Y. (2021). The Emergence of Mathematical Understanding: Connecting to the Closest Superordinate and Convertible Concepts. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.525493.
- Yulianty, N. (2019). Kemampuan pemahaman konsep matematika siswa dengan pendekatan pembelajaran matematika realistik. Jurnal Pendidikan Matematika Raflesia, 4(1), 60–65. https://doi.org/10.33449/jpmr.v4i1.7530
References
Amaral, R., & Mazzi, L. (2024). Mathematical Concept Representations in the Early Years of School: Analyzing Student’s Errors. Alexandria: Revista de Educação em Ciência e Tecnologia. https://doi.org/10.5007/1982-5153.2024.e93256.
Andriani, T., Suastika, I. K., & Sesanti, N. R. (2017). Analisis kesalahan konsep matematika siswa dalam menyelesaikan soal Trigonometri kelas X TKJ SMKN 1 Gempol Tahun Pelajaran 2016/2017. Pi: Mathematics Education Journal, 1(1), 34–39. https://doi.org/10.21067/pmej.v1i1.1998
Asmida, A., Hartoyo, A., & Sugiatno, S. (2018). Developing The Mathematics Conceptual Understanding and Procedural Fluency through Didactical Anticipatory Approach Equipped with Teaching AIDS. JETL (Journal Of Education, Teaching and Learning). https://doi.org/10.26737/JETL.V3I2.796.
Assyakurrohim, D., Ikhram, D., Sirodj, R. A., & Afgani, M. W. (2022). Metode studi kasus dalam penelitian kualitatif. Jurnal Pendidikan Sains dan Komputer, 3(01), 1–9. https://doi.org/10.47709/jpsk.v3i01.1951
Azizah, Z., Taqwa, M. R. A., & Assalam, I. T. (2020). Analisis pemahaman konsep fisika peserta didik menggunakan isntrumen berbantukan quizizz. Edu Sains Jurnal Pendidikan Sains & Matematika, 8(2), 1–11. https://doi.org/10.23971/eds.v8i2.1707
Fitriyani, N., & Fadhilah, N. (2019). Analisis pemahaman konsep matematis siswa pada materi fungsi. Jurnal Ilmiah Pendidikan Matematika, 8(2), 156–163. https://doi.org/10.25273/jipm.v8i2.3998
George, F., Rzyankina, E., & Simpson, Z. (2024). Enhancing Conceptual Understanding in Engineering Mathematics Through E-Textbooks. IEEE Transactions on Education, 67, 534-541. https://doi.org/10.1109/TE.2024.3387102.
Giawa, L., Gee, E., & Harefa, D. (2022). Analisis kemampuan pemahaman konsep matematis siswa pada materi bentuk pangkat dan akar di kelas XI SMA Negeri 1 Ulususua tahun pembelajaran 2021/2022. AFORE : Jurnal Pendidikan Matematika, 1(1), 64–77. https://doi.org/10.57094/afore.v1i1.437
Hussein, Y. (2022). Conceptual Knowledge and Its Importance in Teaching Mathematics. Middle Eastern Journal of Research in Education and Social Sciences. https://doi.org/10.47631/mejress.v3i1.445.
Kania, N., Bonyah, E., & Fitriani, C. (2023). Analysis of Student’s Critical Thinking Skills Based on Prior Knowledge Mathematics. International Journal of Contemporary Studies in Education (IJ-CSE). https://doi.org/10.56855/ijcse.v2i1.248.
Khairani, B. P., & Roza, Y. (2021). Analisis kemampuan pemahaman konsep matematis siswa kelas XI SMA/MA pada materi barisan dan deret. Jurnal Pendidikan Matematika, 05(02), 1578–1587. https://doi.org/10.31949/educatio.v10i2.7131
Kunwar, R., & C., L. (2023). An Overview of Strategies for Conceptualizing Derivative and their Applications in Daily Life for Secondary-Level Mathematics Students. South Asian Research Journal of Engineering and Technology. https://doi.org/10.36346/sarjet.2023.v05i05.003.
Larsson, M., Kaufmann, O., & Ryve, A. (2022). Teachers’ Error-handling Practices Within and Across Lesson Phases in the Mathematics Classroom. International Journal of Science and Mathematics Education, 21, 1289-1314. https://doi.org/10.1007/s10763-022-10294-2.
Lestari, H. E., & Yudhanegara, M. R. (2015). Penelitian pendidikan matematika. Bandung: Refika Aditama.
Lumbantobing, H., Kho, R., & Solihati, T. (2024). The impact of problem-based learning on motivation and mathematics outcome for sixth-grade students. Journal of Honai Math. https://doi.org/10.30862/jhm.v7i3.693.
Mahmoud, E., Al-Mutawah, M., Fateel, M., Thomas, R., & Eid, A. (2019). Conceptual Understanding, Procedural Knowledge and Problem-Solving Skills in Mathematics: High School Graduates Work Analysis and Standpoints. International Journal of Education and Practice. https://doi.org/10.18488/journal.61.2019.73.258.273.
Student’s mathematical concept understanding ability in the material of functions of class XI of SMA ……. 91
Meinarni, W., & Nuryadil, M. (2022). Analisis pemahaman konsep matematika siswa sma kelas x pada materi logaritma ditinjau dari kemampuan awal matematika.
Min, C., Zhu, Y., & Li, L. (2025)
Meinarni, W., & Nuryadil, M. (2022). Analisis pemahaman konsep matematika siswa sma kelas x pada materi logaritma ditinjau dari kemampuan awal matematika.
Min, C., Zhu, Y., & Li, L. (2025). Exploration and Practice of "Problem-oriented + Discussion-based" Classroom Teaching Reform: A Case Study of the Ideological and Political Theory Course Basic Principles of Marxism. Frontiers in Educational Research. https://doi.org/10.25236/fer.2025.080208.
Muganga, L., & Ssenkusu, P. (2019). Teacher-Centered vs. Student-Centered. Cultural and Pedagogical Inquiry. https://doi.org/10.18733/cpi29481.
Nahdi, D., & Jatisunda, M. (2020). Conceptual Understanding And Procedural Knowledge: A Case Study on Learning Mathematics of Fractional Material in Elementary School. , 1477, 042037. https://doi.org/10.1088/1742-6596/1477/4/042037.
Ncube, M., & Luneta, K. (2025). Concept-based instruction: Improving learner performance in mathematics through conceptual understanding. Pythagoras. https://doi.org/10.4102/pythagoras.v46i1.815.
Nkepah, B. (2024). Analytical Thinking and Mathematics Performance: Insights from Mezam Division, Cameroon. Asian Research Journal of Arts & Social Sciences. https://doi.org/10.9734/arjass/2024/v22i9569.
Nugroho, S. E., & Saragih, S. (2017). Pengaruh model pembelajaran berbasis masalah terhadap kemampuan pemecahan masalah matematis dan self-efficacy siswa. Jurnal Pendidikan Matematika, 11(1), 1–10. https://doi.org/10.24114/jpm.v11i1.7077
Pratiwi, V. E., & Tsurayya, A. (2023). Analisis Kemampuan Pemahaman Konsep Ditinjau Dari Kecerdasan Logis Matematis Pada Materi Fungsi Komposisi. JTMT: Journal Tadris Matematika, 4(1), 94–102. https://doi.org/10.47435/jtmt.v4i1.1820
Rizqi, H., & Setiawati, T. (2025). The Effect of Problem Based Learning Assisted by Spin Happy Media on Student’s Conceptual Understanding. Jurnal PAJAR (Pendidikan dan Pengajaran). https://doi.org/10.33578/pjr.v9i2.10206.
Sari, A. P., & Suryadi, D. (2018). Analisis kesalahan siswa dalam menyelesaikan soal matematika berdasarkan taksonomi SOLO. Jurnal Pendidikan Matematika Indonesia, 3(2), 67–74. https://doi.org/10.26737/jpmi.v3i2.708
Sari, W. P. (2024). Analisis kemampuan kognitif calon guru SD dalam pembelajaran konsep IPA jenjang kelas tinggi. 6, 11–21. https://doi.org/10.47945/misool.v6i1.1686
Sarlina. (2015). Miskonsepsi Siswa terhadap Pemahaman Konsep Matematika pada Pokok Bahasan Persamaan Kuadrat. MaPan: Jurnal Matematika dan Pembelajaran, 3(2). https://doi.org/10.24252/mapan.2015v3n2a5
Wahyuni, D., & Hidayat, R. (2020). Miskonsepsi siswa dalam memahami konsep fungsi matematika. Mosharafa: Jurnal Pendidikan Matematika, 9(1), 1–12. https://doi.org/10.31980/mosharafa.v9i1.568
Wahyuni, D., Suryadi, D., & Herman, T. (2021). Pembelajaran berbasis konteks dalam meningkatkan pemahaman konsep matematika. Jurnal Pendidikan Matematika dan Sains, 9(1), 45–54. https://doi.org/10.30595/jpms.v9i1.9104
Wahyuni, I., & Alfiana, E. (2022). Analisis kemampuan eksplorasi matematis siswa kelas x pada materi fungsi komposisi. 8.
Webb, N., Franke, M., Fernandez, C., Turrou, A., Wong, J., Ing, M., & Shin, N. (2015). Student participation in elementary mathematics classrooms: the missing link between teacher practices and student achievement?. Educational Studies in Mathematics, 90, 341-356. https://doi.org/10.1007/S10649-015-9625-Z.
Widya, S., Damanik, A., Novita, N., Sakdiah, H., & Ginting, F. (2024). Interactive Audio-Visual Learning Media Through Articulate Storylines Containing Problem-Based Contextual Learning to Improve tudent’s HOTS and Scientific Attitudes. International Journal of Religion. https://doi.org/10.61707/z5c4xg78.
Yang, Z., Yang, X., Wang, K., Pei, G., Xu, B., & Zhang, Y. (2021). The Emergence of Mathematical Understanding: Connecting to the Closest Superordinate and Convertible Concepts. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.525493.
Yulianty, N. (2019). Kemampuan pemahaman konsep matematika siswa dengan pendekatan pembelajaran matematika realistik. Jurnal Pendidikan Matematika Raflesia, 4(1), 60–65. https://doi.org/10.33449/jpmr.v4i1.7530