Mathematical and Grammatical Error Analysis in Local Wisdom-Based Problem-Solving Construction
DOI:
https://doi.org/10.22437/gentala.v11i1.53413Kata Kunci:
Mathematical Error, Grammatical Error, Problem Solving, MathematicsAbstrak
Kualitas penyusunan soal matematika memegang peranan penting dalam mendukung pembelajaran pemecahan masalah yang bermakna. Namun, kesalahan dalam penalaran matematis maupun struktur kebahasaan masih sering ditemukan pada soal yang dirancang oleh calon guru. Penelitian ini bertujuan untuk menganalisis pola kesalahan matematis dan kesalahan gramatikal dalam tugas pemecahan masalah berbasis kearifan lokal yang disusun oleh calon guru sekolah dasar. Penelitian ini menggunakan desain kualitatif berbasis analisis dokumen. Data penelitian berupa 225 soal uraian yang dibuat oleh 45 mahasiswa dalam mata kuliah pemecahan masalah matematika. Data dianalisis melalui tahapan pembacaan mendalam, pengodean, kategorisasi, interpretasi, dan rekonstruksi soal. Hasil penelitian menunjukkan bahwa kesalahan yang dominan berkaitan dengan pemodelan, miskonsepsi terminologi, pemilihan strategi yang kurang tepat, serta ketidaktepatan notasi matematika. Selain itu, permasalahan gramatikal seperti ambiguitas, inkonsistensi istilah, dan penggunaan penghubung logis yang kurang tepat juga ditemukan berkontribusi signifikan terhadap kesalahan interpretasi dan penalaran matematis yang keliru. Temuan ini menunjukkan bahwa bahasa dan struktur matematika saling berkaitan erat dalam penyusunan soal. Oleh karena itu, penguatan kompetensi calon guru dalam pemodelan matematika dan ketepatan berbahasa menjadi penting untuk meningkatkan validitas dan efektivitas instrumen penilaian.
Referensi
Aini, R. N., & Retnowati, E. (2023). Apakah Pembelajaran Diferensiasi Mengakibatkan Cognitive Load Tinggi? Jurnal Pengembangan Pembelajaran Matematika, 5(2), 88–102. https://doi.org/10.14421/jppm.2023.52.88-102
Aulia, D. U., Pardosi, Y. T. S., Ginting, N., & Hutagalung, T. (2024). Peranan Bahasa Mengkomunikasikan Matematika dalam Pembelajaran Tingkat SMP. Jurnal Pendidikan Tambusai, 8, 16578–16586.
Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on Teaching and Learning Probability. Springer Nature. https://doi.org/10.1007/978-3-319-31625-3_1
Baidoo, J. (2025). Mathematical Language Errors and Academic Performance in Preservice Calculus Teachers. Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, Volume 9, No. 1, pp. 118–133. https://doi.org/10.31331/medivesveteran.v9i1.3318
Cahyanita, E., Hutami, T. S., Lutfi, M., Proborini, C. A., & Fauziyah, M. E. (2025). Integrasi Kearifan Lokal Rumah Joglo dalam Pembelajaran Bangun Datar pada Mahasiswa PGSD. Jurnal Inovasi Pendidikan Dasar, 5(4), 872–880. https://doi.org/10.51878/elementary.v5i4.8312
Chen, O., Retnowati, E., Chan, B. K. Y., & Kalyuga, S. (2023). The Effect of Worked Examples on Learning Solution Steps and Knowledge Transfer. Educational Psychology, 43(8), 914–928. https://doi.org/10.1080/01443410.2023.2273762
Chirove, M., & Ogbonnaya, U. I. (2021). The Relationship Between Grade 11 Learners’ Procedural and Conceptual Knowledge of Algebra. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 368–387. https://doi.org/10.23917/jramathedu.v6i4.14785
Crompton, H., & Ferguson, S. (2024). An Analysis of the Essential Understandings in Elementary Geometry and a Comparison to the Common Core Standards with Teaching Implications. European Journal of Science and Mathematics Education, 12(2), 258–275. https://doi.org/10.30935/scimath/14361
Dönmez, G., & Akkoç, H. (2025). Examining High School Students’ Conception of the Function Concept from a Theoretical Thinking Perspective. International Journal of Mathematical Education in Science and Technology, 56(11), 2251–2278. https://doi.org/10.1080/0020739X.2024.2415575
Fauziyah, M. E. (2025). Pemetaan Penggunaan Representasi Matematis Mahasiswa PGSD dalam Penyelesaian Masalah Bidang Kajian Matematika. Didaktik: Jurnal Ilmiah PGSD STKIP Subang, 11(04), 299–310. https://doi.org/10.36989/didaktik.v11i04.9246
Feronika Br. Siahaan, Lenni Mariana Harahap, Lucia Lidia Sinaga, Natasya Agustina, & Ika Febriana. (2025). Analisis Kesalahan Berbahasa pada Buku Matematika Diskrit Berdasarkan Pedoman Umum Ejaan Bahasa Indonesia (PUEBI). Morfologi: Jurnal Ilmu Pendidikan, Bahasa, Sastra dan Budaya, 3(2), 169–179. https://doi.org/10.61132/morfologi.v3i2.1534
Graber, M. A. (2021). Heuristics, Language and Medical Errors. Russian Family Doctor, 24(4), 25–30. https://doi.org/10.17816/RFD50991
Güner, P., & Erbay, H. N. (2021). Metacognitive Skills and Problem-Solving. International Journal of Research in Education and Science, 7(3), 715–734. https://doi.org/10.46328/ijres.1594
Haj Yahya, A., & Hershkowitz, R. (2026). Interference of Prototypical Geometry Representations in Students’ Construction of Concepts and Development of Proofs. Mathematical Thinking and Learning, 28(1), 53–74. https://doi.org/10.1080/10986065.2024.2386619
Indarti, D. (2024). Investigating the Metacognitive Strategies During Post-Editing Translation Process: An Application of Think-Aloud Protocols (TAP). Journal of Languages and Language Teaching, 12(2), 765. https://doi.org/10.33394/jollt.v12i2.10297
Jakesch, M., Hancock, J. T., & Naaman, M. (2023b). Human Heuristics for AI-Generated Language are Flawed. Proceedings of the National Academy of Sciences, 120(11), e2208839120. https://doi.org/10.1073/pnas.2208839120
Juárez-Ruiz, E., & Sliško, J. (2024). Students’ Epistemological Framings When Solving an Area Problem of a Degenerate Triangle: The Influence of Presence and Absence of a Drawing. Education Sciences, 14(3), 224. https://doi.org/10.3390/educsci14030224
Khairunnisa, Zain, M. H., & Syam, H. (2025). Problem Based Learning: Konsep, Karakteristik, dan Fondasinya dalam Membangun Kompetensi Abad 21. Jurnal Edu Research, 6(1), 2330–2338. https://doi.org/10.47827/jer.v6i2.841
Kholid, M. N., Sa’Dijah, C., Hidayanto, E., & Permadi, H. (2022). Students’ Reflective Thinking Pattern Changes and Characteristics of Problem Solving. Reflective Practice, 23(3), 319–341. https://doi.org/10.1080/14623943.2021.2025353
Langi, E. L., Kondolayuk, M. L., & Domassang, K. D. (2025). Construction of Integer Operations of the Gasing-Mathematics Method from the Perspective of APOS Theory. QALAMUNA: Jurnal Pendidikan, Sosial, Dan Agama, 17(2), 1551–1566. https://doi.org/10.37680/qalamuna.v17i2.8110
Lechner, M., Moser, S., Pander, J., Geist, J., & Lewalter, D. (2024). Learning Scientific Observation with Worked Examples in a Digital Learning Environment. Frontiers in Education, 9, 01–10. https://doi.org/10.3389/feduc.2024.1293516
Liljedahl, P., Santos-Trigo, M., Malaspina, U., & Bruder, R. (2016). Problem Solving in Mathematics Education. Springer Nature. http://www.springer.com/series/14352
López-Astorga, M. (2025). Semantic Ambiguity does not Imply Syntactic Ambiguity. Argumentos - Revista de Filosofia, 12(23), 7–13. https://doi.org/10.36517/Argumentos.23.1
Maanu, V., & Asare, B. (2025). Linguistics and Mathematics Meaning. Frontiers in Education, 10, 1657529. https://doi.org/10.3389/feduc.2025.1657529
Mabuse, P., Petrus, R. M., & Willy, M. (2024). The Role of Language in Solving Mathematical Word Problems among Grade 9 Learners. Dirasat: Human and Social Sciences, 51(3), 310–322. https://doi.org/10.35516/hum.v51i3.6
Mardy C Omongos, & Villarin, S. J. B. (2023). Semantical Error Analysis in the Written Composition of First-Year BSED-English Students. Unpublished. https://doi.org/10.13140/RG.2.2.24472.37124
Masrur, A., Tayyab, A., Khan, Z. A., Jaffar, S., Mansoor, M., Mansoor, S., Rauf, A., & Shah, S. S. (2022). The Impact of Item-Writing Flaws on Student Test Scores, Pass Rate and Psychometric Properties of the Test in End of Clerkship Ophthalmology Assessment. Multicultural Education, 8(4), 1–8. https://doi.org/10.5281/zenodo.6407321
Matricciani, E. (2022). Linguistic Mathematical Relationships Saved or Lost in Translating Texts: Extension of the Statistical Theory of Translation and Its Application to the New Testament. Information, 13(1), 20. https://doi.org/10.3390/info13010020
Mukminin, A. (2023). Analisis Sintaksis dan Semantik dalam Pengajuan Masalah Matematika Ditinjau dari Gaya Kognitif Field Dependent dan Field Independent. Volume 6, No. 1. https://doi.org/DOI:10.30762/f_m.v6i1.1304
Nainggolan, D. O., Febriana, I., Tambunan, C. P., & Lubis, R. H. A. (2024). Pengaruh Peran Bahasa Indonesia dalam Konteks Soal Cerita Matematika. Jurnal Nakula: Pusat Ilmu Pendidikan, Bahasa Dan Ilmu Sosial, 2(4), 70–79. https://doi.org/10.61132/nakula.v2i4.909
Nainggolan, G. L., Siregar, D. A., Putri, R. A., Dhuha, N. K., Berutu, J., Lubis, N. A. I., & Prasasti, T. I. (2024). Analisis Pemahaman Soal Cerita Matematika Terhadap Keterampilan Bahasa Indonesia pada Siswa Kelas V SD. INNOVATIVE: Journal of Social Science Research, 4(3), 11502–11512.
National University of Singapore Centre for English Language Communication, & Wong, J. O. (2018). The Semantics of Logical Connectors: Therefore, moreover and in fact. Russian Journal of Linguistics, 22(3), 581–604. https://doi.org/10.22363/2312-9182-2018-22-3-581-604
NCTM. (2000). Principles Standards and for School Mathematics. National Council of Teachers of Mathematics.
O’Halloran, K. L. (2015). The Language of Learning Mathematics: A Multimodal Perspective. The Journal of Mathematical Behavior, 40(A), 63–74. https://doi.org/10.1016/j.jmathb.2014.09.002
Pais, J., Silva, A., Guimarães, B., Povo, A., Coelho, E., Silva-Pereira, F., Lourinho, I., Ferreira, M. A., & Severo, M. (2016). Do item-writing flaws reduce examinations psychometric quality? BMC Research Notes, 9(1), 1–7. https://doi.org/10.1186/s13104-016-2202-4
Patiño Jr., J. C. (2023). Students’ Level of Procedural Fluency and Difficulties in College Algebra: A Flexible Learning Set-Up. https://doi.org/10.5281/ZENODO.8031582
Prameshti, N. L., Darmawan, P., & Dejarlo, J. O. (2024). Analysis of Students’ Errors in Solving Statistics Problems Based on Newman’s Error Theory: A Study on High School Students. Polyhedron International Journal in Mathematics Education, 2(2), 56–63. https://doi.org/10.59965/pijme.v2i2.150
Putera, R. P., Pargito, & Sinaga, R. M. (2015). Metode Pemecahan Masalah untuk Meningkatkan Kemampuan Berpikir Kritis. Jurnal Studi Sosial, 3(2). https://doi.org/10.23960/jss.v3i2.9450
Rahman, A., Nur Indah Surahman, dan, Matematika, J., & Matematika dan Ilmu Pengetahuan Alam, F. (2019). Analisis Keterampilan Berpikir Tingkat Tinggi Siswa dalam Pemecahan Masalah Matematika Berdasarkan Taksonomi Anderson. Issues in Mathematics Education, 3(2), 119–127. http://www.ojs.unm.ac.id/imed
Rahmawati, D., & Anwar, R. B. (2020). Translation of mathematical representation: Characteristics of verbal representation unpacking. Journal of Education and Learning (EduLearn), 14(2), 162–167. https://doi.org/10.11591/edulearn.v14i2.9538
Renkl, A. (2014). Toward an Instructionally Oriented Theory of Example-Based Learning. Cognitive Science, 38(1), 1–37. https://doi.org/10.1111/cogs.12086
Rismawati, M., Rahmawati, P., & Rindiani, A. B. (2022). Analisis Kemampuan Berpikir Tingkat Tinggi dalam Pemecahan Masalah Matematika Berbasis Higher Order Thinking Skill (HOTS). Jurnal Cendekia: Jurnal Pendidikan Matematika, 06(02), 2134–2143. https://doi.org/10.35580/imed11048
Rustan, E., & Mujahidin, M. (2021). Analyzing language errors in mathematics Electronic School Book. BAHASTRA, 41(1), 7. https://doi.org/10.26555/bahastra.v41i1.17730
Salahuddin, M., & Ramdani, N. (2021). Kemampuan Berpikir Kritis Siswa Dalam Memecahkan Masalah Matematika berdasarkan Tahapan Polya. Tarbiyah Wa Ta’lim: Jurnal Penelitian Pendidikan Dan Pembelajaran, 8(1), 37–48. https://doi.org/10.21093/ twt.v8i1.3127
Setiyadi, D. & Henderi. (2020). Aljabar Relational dan Implementasi kedalam Bahasa Query dalam Perancangan Database Relational. Jurnal Kajian Ilmiah, 20(2), 213–224. https://doi.org/10.31599/jki.v20i2.164
Smith, J. L., Lee, I., Zandieh, M., & Andrews-Larson, C. (2022). A progression of student symbolizing: Solutions to systems of linear equations. AIEM - Avances de Investigación En Educación Matemática, 21, 45–64. https://doi.org/10.35763/aiem21.4237
Sullivan, P., Clarke, D., & Clarke, B. (2013). Teaching with Tasks for Effective Mathematics Learning. Springer. http://www.springer.com/series/6327
Sweller, J. (2020). Cognitive load theory and educational technology. Educational Technology Research and Development, 68(1), 1–16. https://doi.org/10.1007/s11423-019-09701-3
Whitacre, I., Kamaldar, A., & Caro-Rora, D. (2025). Revisiting Popular Frameworks of Geometric Thinking: The Case of Mariah’s Thinking About Hierarchical Relationships and Diagrams. Education Sciences, 15(10), 1283. https://doi.org/10.3390/educsci15101283
Wildah, A., Kamid, & Haryanto. (2024). Construction Errors in Students’ Mathematical Problem-Solving Based on Scaffolding Analysis. Asian Journal of Education and Social Studies, 50(5), 28–38. https://doi.org/10.9734/ajess/2024/v50i51339
Ulum, H., & Küçükdanacı, T. (2024). The Relationship Between Reading and Mathematics Achievement: Findings from Meta-Analysis. Instructional Technology and Lifelong Learning, 5(1), 153–170. https://doi.org/10.52911/itall.1494180
Yayuk, E., Purwanto, As’Ari, A. R., & Subanji. (2020). Primary school students’ creative thinking skills in mathematics problem solving. European Journal of Educational Research, 9(3), 1281–1295. https://doi.org/10.12973/eu-jer.9.3.1281
Yermiandhoko, Y., Karsono, & Fatah, A. (2020). Modul Penyegaran Dosen/Instruktur Pendidikan Profesi Guru. Kementrian Pendidikan dan Kebudayaan.
Unduhan
Diterbitkan
Terbitan
Bagian
Lisensi
Hak Cipta (c) 2026 Mailulah Ely Fauziyah, Nova Shufia Tahmida, Elvin Cahyanita
Artikel ini berlisensiCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
