Derivative Problem Solving: Analysis of Problem Solving Errors in Solving Derivative Material
Abstract
Problem solving is a process that requires logical thinking to find solutions to the problems faced. Through this process, students will learn to develop appropriate strategies to solve the problems. This study aims to identify errors made by students in solving problems on the material of function derivatives. The method used in this study is descriptive qualitative, with data collection techniques carried out through previous literature reviews. The results of the study showed that students made mistakes at several stages, namely in understanding the problem, designing a solution strategy, implementing the solution, and at the re-checking stage. Based on the type of error, students made mistakes in terms of facts, concepts, principles, and operations. The proposed solution is to accustom students to be more careful in solving problems based on problem-solving steps, especially at the final checking stage, and to improve their mastery of algebraic operations and basic factoring techniques.
Keywords: Problem Solving_Analysis of Errors_Derivative of Functions
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References
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Prayekti, N., Nusantara, T., Susanto, H., Rofiki, I., & Malang, U. N. (2020). Students’ Mental Models in Mathematics Problem-Solving. Journal of Critical Reviews, 7(12), 468470.https://doi.org/10.31838/jcr.07.12.83
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Sofyan, M., & Pradipta, T. R. (2021). Pengembangan Media Pembelajaran Interaktif Berbasis Autoplay Media Studio 8 pada Materi Turunan Fungsi Aljabar. Jurnal Cendekia?: Jurnal Pendidikan Matematika, 5(2), 20652076.https://doi.org/10.31004/cendekia.v5i2.743
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Yunia, N., & Zanthy, L. S. (2020). Kesalahan Siswa Smp Dalam Menyelesaikan Soal Cerita Pada Materi Aritmatika Sosial. Teorema: Teori Dan Riset Matematika, 5(1), 105.https://doi.org/10.25157/teorema.v5i1.3206
Zhang, J., Baker, R. S., Mills, C., Young, T., Ma, J., Andres, A. L., Ocumpaugh, J., Brooks, J., Hutt, S., Nasiar, N., & Sethuaman, S. (2022). Using Machine Learning to Detect SMART Model Cognitive Operations in Mathematical Problem-Solving Process. Journal of Educational Data Mining, 14(3), 76108.https://doi.org/10.5281/zenodo.7304763
Zulkarnain, Zulnaidi, H., Heleni, S., & Syafri, M. (2020). Effects of SSCS Teaching Model on Students’ Mathematical Problemsolving Ability and Self-efficacy. International Journal of Instruction, 14(1), 475–488. https://doi.org/10.29333/IJI.2021.14128A
Barham, A. I. (2020). Investigating the development of pre-service teachers’ problem-solving strategies via problem-solving mathematics classes. European Journal of Educational Research, 9(1), 129–141. https://doi.org/10.12973/eu-jer.9.1.129
de Ron, A., Christiansen, I., & Skog, K. (2022). Configuring the landscape of research on problem-solving in mathematics teacher education. International Electronic Journal of Mathematics Education, 17(4), em0712.https://doi.org/10.29333/iejme/12457
Desli, D., & Lioliou, A. (2020). Relationship between Computational Estimation and Problem Solving. International Electronic Journal of Mathematics Education, 15(3), em0602.https://doi.org/10.29333/iejme/8435
Dinda, D., Ambarita, A., Herpratiwi, H., & Nurhanurawati, N. (2021). Pengembangan LKPD Matematika Berbasis PBL Untuk Peningkatan Kemampuan Pemecahan Masalah di Sekolah Dasar. Jurnal Basicedu, 5(5), 3712–3722. https://doi.org/10.31004/basicedu.v5i5.1439
Evianti, N., Jafar, Busnawir, & Masi, L. (2019). Analisis Kesalahan Siswa Kelas IX MTs Negeri 2 Kendari dalam Menyelesaikan Soal-Soal Lingkaran. Jurnal Pendidikan Matematika, 10(2), 138–149.
Firdaus, E. F., Amalia, S. R., & Zumeira, A. F. (2021). Analisis Kesalahan Siswa Berdasarkan Tahapan Kastolan dalam Menyelesaikan Soal Matematika. Dialektika P. Matematika, 8(1), 542–558.
Hasanah, H. (2019). Analisis kesulitan mahasiswa dalam menyelesaikan soal turunan fungsi aljabar. Jurnal InTent, 2(1), 76–84.
Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The role of problem-based learning to improve students’ mathematical problem-solving ability and self confidence. Journal on Mathematics Education, 9(2), 291299.https://doi.org/10.22342/jme.9.2.5394.291-300
Jäder, J., Lithner, J., & Sidenvall, J. (2020). Mathematical problem solving in textbooks from twelve countries. International Journal of Mathematical Education in Science and Technology, 51(7), 1120–1136. https://doi.org/10.1080/0020739X.2019.1656826
Khotimah, H., Amrullah, Tyaningsih, R. Y., & Sridana, N. (2022). Analisis Kesalahan dalam Menyelesaikan Masalah Turunan Fungsi Aljabar ditinjau dari Jenis Kelamin. Journal of Classroom Action Research, 4(4), 123130.https://doi.org/10.29303/jcar.v4i4.2272
Lepertery, M. E., Ayal, C. S., & Palinussa, A. L. (2022). Analisis Kesulitan Siswa Dalam Menyelesaikan Soal Turunan Fungsi Aljabar ditinjau dari Kecerdasan Emosional. Laplace?: Jurnal Pendidikan Matematika, 5(2), 222–234.https://doi.org/10.31537/laplace.v5i2.761
Lestari, A. I., Senjaya, A. J., & Ismunandar, D. (2019). Pengembangan Media Pembelajaran Berbasis Android Menggunakan Appy Pie Untuk Melatih Pemahaman Konsep Turunan Fungsi Aljabar. Pedagogy?: Jurnal Pendidikan Matematika, 4(2), 1–9. https://doi.org/10.30605/pedagogy.v4i2.1437
Lubis, A. N., Ginting, B. W. B., Rahmah, D. P., & Hutagalung, M. L. (2021). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Matematika Pada Materi Turunan. Karismatika, 7(2), 1–8.
Lucia Rengkung, A., Pesik, A., & Pitoy, C. (2022). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Pada Materi Operasi Bentuk Aljabar. Adiba: Journal of Education, 2(2), 273–281.
Maulin, B. A., & Chotimah, S. (2023). Analisis Kesulitan Siswa Smp Dalam Menyelesaikan Soal Bangun Ruang Sisi Datar. Jurnal Lebesgue?: Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 4(1), 352–363. https://doi.org/10.46306/lb.v4i1.203
Meiliasari, M., Wijayanti, D. A., & Azima, L. A. (2021). An Error Analysis of Students’ Difficulties in Differential Calculus. Journal of Medives?: Journal of Mathematics Education IKIP Veteran Semarang, 5(1), 48. https://doi.org/10.31331/medivesveteran.v5i1.1433
Miswandi Tendrita, Azzajjad, M. F., & Ahmar, D. S. (2022). Mind mapping with problem-posing: Can it affect student’s problem-solving skills in Schoology-based learning? JPBI (Jurnal Pendidikan Biologi Indonesia), 8(1), 86–94. https://doi.org/10.22219/jpbi.v8i1.18565
Naisunis, Y. P., Taneo, P. N. L., & Daniel, F. (2018). Analisis Kesalahan Mahasiswa dalam Pemecahan Masalah pada Mata Kuliah Persamaan Diferensial. Yuliana, 08, 107–119.
Parwati, N. N., Sudiarta, I. G. P., Mariawan, I. M., & Widiana, I. W. (2018). Local wisdom-oriented problem-solving learning model to improve mathematical problem-solving ability. Journal of Technology and Science Education, 8(4), 310–320. https://doi.org/10.3926/jotse.401
Patmaniar, Amin, S. M., & Sulaiman, R. (2021). Students’ Growing Understanding InSolving Mathematics Problems Based On Gander: Elaborating Folding Back. Journal on Mathematics Education, 12(3), 507–530. https://doi.org/10.22342/JME.12.3.14267.507-530
Peranginangin, S. A., Saragih, S., & Siagian, P. (2019). Development of Learning Materials through PBL with Karo Culture Context to Improve Students’ Problem Solving Ability and Self-Efficacy. International Electronic Journal of Mathematics Education, 14(2), 265–274.https://doi.org/10.29333/iejme/5713
Prayekti, N., Nusantara, T., Susanto, H., Rofiki, I., & Malang, U. N. (2020). Students’ Mental Models in Mathematics Problem-Solving. Journal of Critical Reviews, 7(12), 468470.https://doi.org/10.31838/jcr.07.12.83
Putri, E., Heryanti, E., Zain, A., & Ningsih, P. (2022). Problem-solving ability: Implementation of RICOSRE learning models on environmental change topic. JPBI (Jurnal Pendidikan Biologi Indonesia), 8(2), 95–104.
Rofi’ah, N., Ansori, H., & Mawaddah, S. (2019). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Matematika Berdasarkan Langkah Penyelesaian Polya. EDU-MAT: Jurnal Pendidikan Matematika, 7(2), 120.https://doi.org/10.20527/edumat.v7i2.7379
Setiyani, S., Fitriyani, N., & Sagita, L. (2020). Improving student’s mathematical problem solving skills through Quizizz. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 5(3), 276288.https://doi.org/10.23917/jramathedu.v5i3.10696
Sofyan, M., & Pradipta, T. R. (2021). Pengembangan Media Pembelajaran Interaktif Berbasis Autoplay Media Studio 8 pada Materi Turunan Fungsi Aljabar. Jurnal Cendekia?: Jurnal Pendidikan Matematika, 5(2), 20652076.https://doi.org/10.31004/cendekia.v5i2.743
Syaiful, S., Kamid, K., Muslim, M., & Huda, N. (2020). Identifiying of problem solving abilities in Mathematics among Junior High School students. Journal of Education and Learning (EduLearn), 14(2), 176–182. https://doi.org/10.11591/edulearn.v14i2.14861
Ulfa, D., & Kartini, K. (2021). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Logaritma Menggunakan Tahapan Kesalahan Kastolan. Jurnal Cendekia?: Jurnal Pendidikan Matematika, 5(1), 542–550.https://doi.org/10.31004/cendekia.v5i1.507
Utari, D. R., Wardana, M. Y. S., & Damayani, A. T. (2023). Analisis Kesulitan Belajar Matematika Dalam Menyelesaikan Soal. Jurnal Pendidikan Dasar Flobamorata, 4(1), 421–423. https://doi.org/10.51494/jpdf.v4i1.845
Widodo, S. A., Ibrahim, I., Hidayat, W., Maarif, S., & Sulistyowati, F. (2021). Development of Mathematical Problem Solving Tests on Geometry for Junior High School Students. Jurnal Elemen, 7(1), 221–231.https://doi.org/10.29408/jel.v7i1.2973
Yunia, N., & Zanthy, L. S. (2020). Kesalahan Siswa Smp Dalam Menyelesaikan Soal Cerita Pada Materi Aritmatika Sosial. Teorema: Teori Dan Riset Matematika, 5(1), 105.https://doi.org/10.25157/teorema.v5i1.3206
Zhang, J., Baker, R. S., Mills, C., Young, T., Ma, J., Andres, A. L., Ocumpaugh, J., Brooks, J., Hutt, S., Nasiar, N., & Sethuaman, S. (2022). Using Machine Learning to Detect SMART Model Cognitive Operations in Mathematical Problem-Solving Process. Journal of Educational Data Mining, 14(3), 76108.https://doi.org/10.5281/zenodo.7304763
Zulkarnain, Zulnaidi, H., Heleni, S., & Syafri, M. (2020). Effects of SSCS Teaching Model on Students’ Mathematical Problemsolving Ability and Self-efficacy. International Journal of Instruction, 14(1), 475–488. https://doi.org/10.29333/IJI.2021.14128A
Published
2025-05-28
How to Cite
WULANDARI, Sri; CASWITA, Caswita; WIJAYA, Agung Putra.
Derivative Problem Solving: Analysis of Problem Solving Errors in Solving Derivative Material.
Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, [S.l.], v. 9, n. 2, p. 158-170, may 2025.
ISSN 2549-5070.
Available at: <https://www.e-journal.ivet.ac.id/index.php/matematika/article/view/3775>. Date accessed: 05 july 2025.
doi: https://doi.org/10.31331/medivesveteran.v9i2.3775.
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