Analysis of Students’ Errors in Solving Algebraic Function Limit Problems based on Bloom’s Taxonomy
DOI:
https://doi.org/10.22460/jiml.v8i1.27152Keywords:
Students’ Errors , Algebraic Function Limits , Bloom’s Taxonomy , Problem SolvingAbstract
Understanding mathematical concepts is a fundamental component in effective mathematics learning. When students lack conceptual understanding, their ability to solve problems accurately such as in the topic of algebraic function limits is significantly hindered. This study aims to identify the causes of students’ incorrect answers in solving limit problems of algebraic functions based on Bloom's Taxonomy. A qualitative descriptive research method was employed to explore this issue. Data were collected using a written test consisting of three essay questions constructed to represent different levels of Bloom’s Taxonomy, followed by brief interviews with selected students. The research involved Grade 11 students who had previously studied the limit of algebraic functions. The students' answers were analyzed to classify types of errors and identify patterns related to specific cognitive levels. The results indicated that all students answered correctly at the C1 and C2 levels (remembering and understanding). However, at the C3 and C4 levels (applying and analyzing), students commonly made Encoding Errors and Transformation Errors. At the higher cognitive levels C5 and C6 (evaluating and creating) Process Skills Errors and Comprehension Errors were more prevalent. These findings suggest that students struggle more as the cognitive demands of questions increase, indicating a lack of problem solving practice and insufficient exposure to high level thinking tasks. In conclusion, strengthening instructional strategies that target higher order thinking skills is necessary to help students develop deeper mathematical understanding.References
Anderson, L. W., & Krathwohl, D. R. (2001). A Taxonomy for Learning, Teaching, and Assessing: A Revision of Bloom’s Taxonomy of Educational Objectives. Longman
Arifani, N. H., As’ari, A. R., & Abadyo. (2016). Analisis kesalahan siswa dalam menyelesaikan soal matematika TIMSS menurut teori Newman: Studi kasus pada siswa kelas VIII SMP Negeri 1 Tanjungbumi Bangkalan. Seminar Nasional Matematika Dan Pendidikan Matematika UNY, 1(3), 443–448. http://seminar.uny.ac.id/semnasmatematika
Aulia, J., & Kartini. (2021). Analisis kesalahan siswa dalam menyelesaikan soal cerita pada materi himpunan bagi siswa kelas VII SMP/MTs. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(1), 484. https://doi.org/10.31004/cendekia.v5i1.280
Az Zahra, S. J. (2019). Analisis kesalahan siswa dalam menyelesaikan soal cerita SPLTV berdasarkan tahapan Newman. Jurnal Pembelajaran Matematika Inovatif, 2(2), 364–373. https://journal.ikipsiliwangi.ac.id/index.php/jpmi/article/view/2390
Damayanti, N. W., Mayangsari, S. N., & Mahardika, L. T. (2017). Analisis kesalahan siswa dalam pemahaman konsep operasi hitung pada pecahan. Edutic - Scientific Journal of Informatics Education, 4(1), 1–7. https://doi.org/10.21107/edutic.v4i1.3389
Firmansyah, F., Mujib, A., Siregar, R. N., & Mathelinea, D. (2025). Electronic modul contextual learning in mathematics: analizing its impact on student self-efficacy and problem solving abilities. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 9(2), 495-512. https://doi.org/10.22437/jiituj.v9i2.42554
Gunawan, M., & Yuspriati, D. N. (2024). Analysis of Mathematical Problem Solving Ability of XI Class Vocational Students on Composition Function Material. (JIML) Journal Of Innovative Mathematics Learning, 7(1), 76-83. https://doi.org/10.22460/jiml.v7i1.19360
Hazim, M., Yuliani, A., & Setiawan, W. (2024). The Implementation of Project Based Learning to Improve Students’ Mathematical Understanding and Learning Interest on Junior High School. (JIML) Journal Of Innovative Mathematics Learning, 7(3), 293-302. https://doi.org/10.22460/jiml.v7i3.19850
Herman, T., Andini, M., Nurhanifah, N., & Wulandari, I. (2024). Kemampuan Berpikir Matematis: Berpikir Relasional, Berpikir Fungsional dan Berpikir Kritis. Indonesia Emas Group.
Jabnabillah, F. (2022). Analisis kesalahan siswa dalam menyelesaikan soal pemahaman konsep pada materi integral. Jurnal Ilmu Sosial dan Pendidikan (JISIP), 6(2), 74–82. https://doi.org/10.36312/jisip.v6i2.3084
Maulani, M., Alipatan, M., & Khotimah, H. (2021). Kesulitan belajar matematika siswa kelas X ditinjau dari taksonomi bloom revisi ranah kognitif. Kompetensi, 14(1), 40-51. https://doi.org/10.36277/kompetensi.v14i1.44
Malihatuddarojah, D., & Prahmana, R. C. I. (2019). Analisis kesalahan siswa dalam menyelesaikan permasalahan operasi bentuk aljabar. Jurnal Pendidikan Matematika, 13(1), 1–8. https://doi.org/10.22342/jpm.13.1.6668.1-8
Nurhanifah, S., et al. (2023). Analisis kesalahan siswa menyelesaikan permasalahan limit fungsi aljabar berdasarkan taksonomi Bloom dan gaya belajar. Jurnal Pendidikan dan Ilmu Pengetahuan, 23(3), 115–126. https://doi.org/10.30651/didaktis.v23i3.13393
Novitasari, D., & Pujiastuti, H. (2020). Analisis pemahaman konsep mahasiswa pada materi analisis real berdasarkan taksonomi Bloom ditinjau dari ranah kognitif. Maju, 7(2), 504952.
Nurhayati, E., Nurfauziah, P., & Fitriani, N. (2021). Analisis kesulitan siswa kelas ix dalam memahami materi sistem persamaan linear dua variabel (spldv) dalam pembelajaran daring. JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(6), 1609-1620. https://doi.org/10.22460/jpmi.v4i6.p%25p
Nurlelah, S., Hendriana, H., & Fitrianna, A. Y. (2023). The implementation of scientific approach to increase mathematical problem solving ability on junior high school students. (JIML) Journal Of Innovative Mathematics Learning, 6(3), 178-185. https://doi.org/10.22460/jiml.v6i3.17580
Poetry, A. S., Prihatiningtyas, N. C., & Hedriana, E. C. (2024). Analisis kesalahan siswa dalam menyelesaikan soal cerita matematika berdasarkan teori nolting. Jurnal Holistika, 8(2), 11-18. https://doi.org/10.24853/holistika.8.2.11-18
Purnomo, D. (2021). Pola dan perubahan metakognisi dalam pemecahan masalah matematis. Media Nusa Creative (MNC Publishing).
Putri, R. D., Rahmawati, R., Pujiati, P., & Hestiningtyas, W. (2024). Penerapan Inductive Approach untuk Meningkatkan Efektivitas Pembelajaran Berbasis Indikator Berpikir Kritis Siswa. Nuwo Abdimas, 3(2), 95-104. http://e-jurnal.fkip.unila.ac.id/index.php/nuwo/article/view/762
Radiusman. (2020). Studi literasi: Pemahaman konsep siswa pada pembelajaran matematika. FIBONACCI: Jurnal Pendidikan Matematika Dan Matematika, 6(1), 1–8. https://doi.org/10.24853/fbc.6.1.1-8
Ruseffendi, E. T. (2010). Pengajaran matematika modern untuk guru SD dan SLTP. Tarsito.
Rusmawan, R., Putra, H. D., & Hendriana, H. (2024). Improving Junior High School Student’s Mathematical Understanding Ability using Discovery Learning Model on Relation and Function Material. (JIML) Journal Of Innovative Mathematics Learning, 7(1), 42-56. https://doi.org/10.22460/jiml.v7i1.18499
Salido, A., Misu, L., & Salam, M. (2014). Analisis kesalahan siswa dalam menyelesaikan soal-soal matematika materi pokok limit fungsi pada siswa kelas XI IPA 2 SMA Negeri 5 Kendari. Jurnal Penelitian Pendidikan Matematika, 2(1), 1–13. http://dx.doi.org/10.36709/jppm.v2i1.3072
Silvia, S., Fitrianna, A. Y., & Hendriana, H. (2023). The Implementation of Scientific Approach to Improve Mathematical Understanding Ability on Junior High School Students. (JIML) Journal Of Innovative Mathematics Learning, 6(3), 194-201. https://doi.org/10.22460/jiml.v6i3.17615
Siregar, R. N., Suryadi, D., Prabawanto, S., & Mujib, A. (2022). Improving student learning: mathematical reasoning ability through a realistic mathematic education. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(4), 2698-2713. https://doi.org/10.24127/ajpm.v11i4.6250
Siregar, R. N., Suryadi, D., Prabawanto, S., & Mujib, A. (2022). Cognitive flexibility of students in solving mathematical problems: A phenomenology study. Kreano, Jurnal Matematika Kreatif-Inovatif, 13(2), 355-369. https://doi.org/10.15294/kreano.v13i2.40220
Siregar, R. N. (2023). Kemampuan Cognitive Flexibility Dan Self-Efficacy Peserta Didik Dalam Pemecahan Masalah Matematis (Doctoral dissertation, Universitas Pendidikan Indonesia). http://repository.upi.edu/id/eprint/105061
Siregar, R. N., Suryadi, D., Prabawanto, S., & Mujib, A. (2024). Improving Mathematical Problem-Solving Abilities through Think Pair Share Learning Using Autograph. KnE Social Sciences, 468-481. https://doi.org/10.18502/kss.v9i8.15583
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
The author is responsible for acquiring the permission(s) to reproduce any copyrighted figures, tables, data, or text that are being used in the submitted paper. Authors should note that text quotations of more than 250 words from a published or copyrighted work will require grant of permission from the original publisher to reprint. The written permission letter(s) must be submitted together with the manuscript.