Uncovering the Obstacles Faced by Fifth-Grade Students in Solving Mixed-Operation Calculation Problems: A Perspective on Conceptual Understanding and Procedural Knowledge
Abstract
Fifth-grade students who experience obstacles when solving mixed calculation problems. The purpose of this study is to describe the obstacles in conceptual understanding and procedural knowledge experienced by fifth-grade students in solving mixed calculation problems. This study uses qualitative and methods was conducted at Public Elementray School Pandeanlamper 03, Semarang City with three research subjects using research instruments consisting of questions about mixed fraction calculations and interview guidelines to reveal the obstacles experienced by the subjects. The three subjects showed that they had organized their knowledge into a coherent whole, but the subjects where they are unable to see the relationship between concepts and procedures and are unable to provide arguments to explain why some facts are the result of other facts.
References
Abella, R. (2026). Level of Mastery in Fraction Computation Among Grade 10 Students at Dimasalang National High School: Basis for Intervention Program. International Journal of Sustainability and Advanced Integrated Research, 2(2), 1707-1716. https://doi.org/10.65339/ijsair.V2.I2.374
Al-Mutawah, M. A., Thomas, R., Eid, A., Mahmoud, E. Y., & Fateel, M. J. (2019). Conceptual understanding, procedural knowledge and problem-solving skills in mathematics: High school graduates work analysis and standpoints. International Journal of Education and Practice, 7(3), 258–273. https://doi.org/10.18488/journal.61.2019.73.258.273
Andini, I., & Cahyaningsih, U. (2024). An analysis of students’ learning difficulties in solving plane geometry problems among seventh-grade students. International Journal of Advance Research in Mathematics Education, 2(2), 110-121. https://doi.org/10.56916/ijr.v2i2.2657
Benu, R. S. M., & Lalang, A. R. (2026). ANALYSIS OF ELEMENTARY STUDENTS'LEARNING OBSTACLES IN UNDERSTANDING FRACTIONS: A CASE STUDY IN SOUTH CENTRAL TIMOR REGENCY. Prima Magistra: Jurnal Ilmiah Kependidikan, 7(2), 462-474. https://doi.org/10.37478/jpm.v7i2.7204
Boamah, S., Asemani, E., Koranteng, E. K., & Mensah, R. O. (2025). Effect of cognitive-communicative model on senior high school students’ proficiency in solving algebraic word problems. Discover Education, 4(1), 188. https://doi.org/10.1007/s44217-025-00619-y
Borchers, C., Fleischer, H., Yaron, D. J., McLaren, B. M., Scheiter, K., Aleven, V., & Schanze, S. (2025). Problem-solving strategies in stoichiometry across two intelligent tutoring systems: A cross-national study. Journal of Science Education and Technology, 34(2), 384-400. https://doi.org/10.1007/s10956-024-10197-7
Dilla, F. I., Sutama, Novitasari, M., & Adnan, M. (2026, March). Cultivation of counting in elementary school students’ mathematics learning. In AIP Conference Proceedings (Vol. 3412, No. 1, p. 020017). AIP Publishing LLC.
Diputra, K. S., Suryadi, D., Herman, T., & Jupri, A. (2023). Analysis of the Elementary School Students' Learning Obstacles: A Case Study on the Concept of Fractions. Al Ibtida: Jurnal Pendidikan Guru MI, 10(1), 13-28. https://doi.org/10.24235/al.ibtida.snj.v10i1.13078
Dorner, C., Ableitinger, C., & Krammer, G. (2026). Revealing the nature of mathematical procedural knowledge by analysing students’ deficiencies and errors. International Journal of Mathematical Education in Science and Technology, 57(3), 413-434. https://doi.org/10.1080/0020739X.2024.2445666
Göbel, S. M., Landerl, K., & Lervag, A. (2026). Longitudinal Predictors of Conceptual Understanding of Arithmetic Principles. Journal of Numerical Cognition. https://doi.org/10.5964/jnc.19523
Gregorio, J. M. V., & Rabut, J. F. (2024). Strategic intervention materials using Lumi Education (SIMULE) and students’ conceptual understanding and procedural fluency. 9, 5–20. https://doi.org/10.5281/zenodo.11651941
Hardiansyah, F., Armadi, A., AR, M. M., & Wardi, M. (2024). Analysis of field dependent and field independent cognitive styles in solving science problems in elementary schools. Jurnal Penelitian Pendidikan IPA, 10(3), 1159-1166. https://doi.org/10.29303/jppipa.v10i3.5661
Hariyani, M., Herman, T., Suryadi, D., & Prabawanto, S. (2022). Exploration of student learning obstacles in solving fraction problems in elementary school. International Journal of Educational Methodology, 8(3), 505-515.
Heyd-Metzuyanim, E., Cohen, B., Elbaum-Cohen, A., & Tabach, M. (2025). Regulative routines and their relation to the process of de-ritualization in mathematics learning: Heyd-Metzuyanim et al. Educational Studies in Mathematics, 120(3), 525-548. https://doi.org/10.1007/s10649-025-10401-4
Hidayah, A., & Maemonah, M. (2022). Analisis hambatan belajar siswa kelas IV pada mata pelajaran matematika. Symmetry: Pasundan Journal of Research in Mathematics Learning and Education, 7(2), 232–240. https://doi.org/10.23969/symmetry.v7i2.6737
Kania, N., Saepudin, A., & Gürbüz, F. (2025). Assessing Cognitive Obstacles in Learning Number Concepts: Insights from Preservice Mathematics Teachers. Journal of Research and Advances in Mathematics Education, 10(3), 146-166.
Lenz, K., & Wittmann, G. (2020). Individual differences in conceptual and procedural fraction knowledge: What makes the difference and what does it look like? International Electronic Journal of Mathematics Education, 16(1), em0615. https://doi.org/10.29333/iejme/9282
Lit, S., Kool, M., & Drijvers, P. (2026). Teacher knowledge and skills for mathematical problem solving: a systematic literature review. Journal of Mathematics Teacher Education, 1-28. https://doi.org/10.1007/s10857-025-09737-8
Lundkvist, M., & Larsson, K. (2026). ‘For a moment I thought maths could be fun’: the case of one student’s enhanced motivation in mathematics when experiencing thinking classroom. Scandinavian Journal of Educational Research, 1-14. https://doi.org/10.1080/00313831.2026.2671727
Magfirotin, E. S., & Amir, M. F. (2024). Elementary school students’ conceptual and procedural knowledge in solving fraction problems. Kreano, Jurnal Matematika Kreatif-Inovatif, 15(1), 109–122. https://doi.org/10.15294/0m58xs24
Maifa, T. S., Suryadi, D., & Fatimah, S. (2025). Identifying learning obstacles in proof construction for geometric transformations: Conceptual, procedural, and visualization errors. Infinity Journal, 14(3), 673-694. https://doi.org/10.22460/infinity.v14i3.p673-694
Murni, D., Amelia, E., Lestari, I. D., Suryaningsih, S., Indriyani, R., & Zahra, I. A. (2024). Pengetahuan prosedural dan korelasinya dengan pengetahuan konseptual mahasiswa pada topik genetika populasi berbasis molekuler. Bioedusiana: Jurnal Pendidikan Biologi, 9(2), 99–114.
Mutiara, A. (2025). Error Analysis in Fraction Arithmetic Operations Among Fourth Grade Students. JTP-Jurnal Teknologi Pendidikan, 27(1), 199-207. https://doi.org/10.21009/jtp.v27i1.52943
Parycek, P., Schmid, V., & Novak, A. S. (2024). Artificial Intelligence (AI) and automation in administrative procedures: Potentials, limitations, and framework conditions. Journal of the Knowledge Economy, 15(2), 8390-8415. https://doi.org/10.1007/s13132-023-01433-3
Polas, M. R. H. (2025). Common method bias in social and behavioral research: Strategic solutions for quantitative research in the doctoral research. Journal of Comprehensive Business Administration Research. https://doi.org/10.47852/bonviewJCBAR52024285
Purnomo, Y. W., Aziz, T. A., Shahrill, M., & Prananto, I. W. (2022). Students' Failure to Understand Fraction Multiplication as Part of a Quantity. Journal on Mathematics Education, 13(4), 681-702.
Rahmatin, T., & Dahlan, J. A. (2025). Students’ mathematical creative thinking and learning obstacles in solving ill-structured exponential problems. 4185, 53–74.
Rio, R. M. D., & Protacio, J. V. (2025). Explanatory Sequential Study on Word Problem-Solving and Mathematical Cognitive Skills of College Students: Implications for STEM Competencies Development. Educational Process: International Journal, 18, e2025506.
Riyatuljannah, T., & Suyadi, S. (2020). Analisis perkembangan kognitif siswa pada pemahaman konsep matematika kelas V SDN Maguwoharjo 1 Yogyakarta. EduHumaniora: Jurnal Pendidikan Dasar Kampus Cibiru, 12(1), 48–54. https://doi.org/10.17509/eh.v12i1.20906
Rizki R, R., Suryadi, D., & Nurlaelah, E. (2022). Learning obstacle dalam pemecahan masalah matematis siswa pada materi bangun ruang sisi datar. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(4), 3671. https://doi.org/10.24127/ajpm.v11i4.5900
Ross, E., Marshman, M., & McMaster, N. (2026). Teaching the incidental mathematics: How integrated tasks with digital technologies unlocked mathematics concepts in primary school classrooms: E. Ross et al. Mathematics Education Research Journal, 38(2), 301-322. https://doi.org/10.1007/s13394-025-00529-0
Salim Nahdi, D., & Gilar Jatisunda, M. (2020). Conceptual understanding and procedural knowledge: A case study on learning mathematics of fractional material in elementary school. Journal of Physics: Conference Series, 1477(4). https://doi.org/10.1088/1742-6596/1477/4/042037
Seloane, P. M., Ramaila, S., & Ndlovu, M. (2023). Developing undergraduate engineering mathematics students’ conceptual and procedural knowledge of complex numbers using GeoGebra. Pythagoras, 44(1), 1–14. https://doi.org/10.4102/PYTHAGORAS.V44I1.763
Silla, E. M., Barbieri, C. A., & Newton, K. J. (2024). Procedural flexibility on fraction arithmetic and word problems predicts middle-schoolers’ differential algebra skills. Journal of educational psychology, 116(2), 195. https://psycnet.apa.org/doi/10.1037/edu0000822
Soraya, D., Jupriyanto, J., & Sari, Y. (2023). The effect of a realistic mathematics education on the problem-solving ability of mathematics. EduHumaniora: Jurnal Pendidikan Dasar Kampus Cibiru, 15(2), 207–214. https://doi.org/10.17509/eh.v15i2.49718
Sugawara, M., Sekao, D., & Sibiya, M. R. (2026). Investigating learners’ misconceptions on division of whole numbers to identify a goal of research lesson–a case of lesson study. International Electronic Journal of Mathematics Education, 21(1), em0863.
Sutrisno, A. B., Kaharuddin, A., & Gupta, V. (2025). Analysis Of Student Difficulties in Solving Problems on Statistics Material. EduTransform: Multidisciplinary International Journal, 1(1), 27-39.
Tandililing, P., Sirampun, E., Kho, R., & Ruamba, M. Y. (2025). Geometric Thinking Levels in Learning Quadrilaterals: A Van Hiele-Based Case Study in a Papuan Junior High School. Edumatica: Jurnal Pendidikan Matematika, 15(2), 124-136. https://doi.org/10.22437/edumatica.v15i2.43719
Torres-Peña, R. C., Peña-González, D., Lara-Orozco, J. L., Ariza, E. A., & Vergara, D. (2025). Enhancing numerical thinking through problem solving: A teaching experience for third-grade mathematics. Education Sciences, 15(6), 667. https://doi.org/10.3390/educsci15060667
Wiranto Karim, A., Majid, & Bito, N. (2023). Analisis kesulitan pemahaman konsep siswa dalam menyelesaikan soal pada materi himpunan di SMP Negeri 2 Bolangitang Timur. Innovative: Journal of Social Science Research, 3(2), 7066–7078.
Xu, C., Di Lonardo Burr, S., Rodgers, L. J., Wylie, J., Si, J., Huang, B., ... & Li, H. (2026). A longitudinal investigation of the codevelopment and bidirectional relations among whole number arithmetic and conceptual and procedural fraction knowledge. Journal of Educational Psychology, 118(2), 224. https://psycnet.apa.org/doi/10.1037/edu0000942
Žakelj, A., Štemberger, T., & Klančar, A. (2025). An empirical study on basic and conceptual knowledge, procedural knowledge and problem solving among primary school students. International Journal of Instruction, 18(4), 627-650.
Ziv, E., & Heafner, T. L. (2025). A comparative analysis of ChatGPT’s trigonometry tutoring capabilities: Progressing from model 3.5 to reasoning o1. Journal of Technology and Teacher Education, 33(4), 785-832. https://doi.org/10.70725/554492exncrp
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