Mathematical Linguistics: An Approach to Improve Non-Routine Mathematical Problem-Solving Ability
Article Sidebar
Main Article Content
Abstract
The literacy ability of Indonesian students is in the low category. The majority of Indonesian students have not been able to model complex situations mathematically, meaning that they have not been able to choose, compare, and evaluate appropriate problem-solving strategies from these complex situations. Based on the trend of PISA scores in reading, mathematics, and science, there is a similar pattern between reading and mathematics scores. Therefore, there is a correlation between language and mathematical intelligence. Several studies show that there is a relationship between linguistic intelligence and learning outcomes in mathematics. This study aims to analyze the mathematical linguistic approach as a solution to improve non-routine problem-solving skills systematically. This study was compiled using descriptive analysis techniques through literature review or library research. Mathematical linguistics dates back to Euclid’s axiomatics circa 325-265 BC and to Panini’s method of grammatical description in 520-460 BC. Both Euclid and Panini developed two well-known and fundamental books entitled Elements and Ashtadhyayi. Linguistic and mathematical intelligence has the same character, which is an intelligence that can reconstruct something abstract or a complex problem into a concrete solution and its solution accurately and systematically. The combination of the two is a capable ability to solve non-routine mathematical problems. Therefore, mathematical linguistics is an approach that can directly connect linguistic and mathematical intelligence to create a complete competence that can be used to solve complex problems mathematically.
Article Details
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
References
Ajello, A. M., Caponera, E., & Palmerio, L. (2018). Italian students’ results in the PISA mathematics test: does reading competence matter? European Journal of Psychology of Education, 33(3), 505-520. DOI: https://doi.org/10.1007/s10212-018-0385-x
Akbasli, S., Sahin, M., & Yaykiran, Z. (2016). The Effect of Reading Comprehension on the Performance in Science and Mathematics. Journal of Education and Practice, 7(16), 108-121.
Aldridge, M. V. (1992). The elements of mathematical semantics. Mouton de Gruyter. DOI: https://doi.org/10.1515/9783110871432
Ardiansyah, M. (2020). Kontribusi tingkat pendidikan orang tua, lingkungan, dan kecerdasan logis terhadap kemampuan berpikir kritis matematis. Jurnal Pendidikan Matematika (Kudus), 2(2), 163-178. http://dx.doi.org/10.21043/jmtk.v3i2.8578 DOI: https://doi.org/10.21043/jmtk.v3i2.8578
Aulia, M., Fatimah, S., Dahlan, J. A., & Wahab, A. A. (2025). Exploring research on computational thinking in mathematics: Trends, challenges, and impact on modern learning. Jurnal Pendidikan MIPA, 26(2), 1196-1218. https://doi.org/10.23960/jpmipa.v26i2.pp1196-1218 DOI: https://doi.org/10.23960/jpmipa.v26i2.pp1196-1218
Bahri, M. S. (2023). Problematika Evaluasi Pembelajaran dalam Mencapai Tujuan Pendidikan di Masa Merdeka Belajar. Jurnal Ilmiah Ilmu Pendidikan, 6(4), 2871-2880. https://doi.org/10.54371/jiip.v6i4.1954 DOI: https://doi.org/10.54371/jiip.v6i4.1954
Cascella, C. (2020). Exploring the complex relationship between students’ reading skills and their performance in mathematics: a population-based study. Educational Research and Evaluation, 26(3-4), 126-149. https://doi.org/10.1080/13803611.2021.1924790 DOI: https://doi.org/10.1080/13803611.2021.1924790
Collins, M. A., & Laski, E. V. (2018). Digging deeper: Shared deep structures of early literacy and mathematics involve symbolic mapping and relational reasoning. Early Childhood Research Quarterly, 46, 201-212. https://doi.org/10.1016/j.ecresq.2018.02.008 DOI: https://doi.org/10.1016/j.ecresq.2018.02.008
Ding, H., & Homer, M. (2019). Interpreting mathematics performance in PISA: Taking account of reading performance. International Journal of Educational Research, 102, 101566. https://doi.org/10.1016/j.ijer.2020.101566 DOI: https://doi.org/10.1016/j.ijer.2020.101566
Ernawati, Yulianti, & Rahmawati, A. (2014). Penerapan Model Pembelajaran Kooperatif Teknik Bamboo Dance Untuk Meningkatkan Keterampilan Berbicara Pada Anak Kelompok A Tk Islam Bakti Ix Kerten Surakarta Tahun Pelajaran 2013/2014. Kumara Cendekia: Jurnal Penelitian Pendidikan Anak Usia Dini, 2(3). https://jurnal.uns.ac.id/kumara/article/view/34199/22506
Fitriani, U., Aunurrohman, A., & Cahyono, B. (2018). Pengaruh kecerdasan linguistik terhadap kemampuan koneksi matematis dalam menyelesaikan masalah open ended materi trigonometri. Phenomenon, 8(1), 101-113. DOI:10.21580/phen.2018.8.1.2549 DOI: https://doi.org/10.21580/phen.2018.8.1.2549
Gladkij, A. V., & Melcuk, I. A. (1983). Elements of mathematical linguistics. Mouton Publishers. DOI: https://doi.org/10.1515/9783110810806
Idhartono, A. R. (2020). Studi literatur: analisis pembelajaran daring anak berkebutuhan khusus di masa pandemi. Jurnal Studi Guru dan Pembelajaran, 3(3), 529-533. DOI: https://doi.org/10.30605/jsgp.3.3.2020.541
Johar, R., Harnita, F., Sasaki, D., & Oktari, R. S. (2024). Incorporating disaster context into mathematical problem-solving abilities: The role of cognitive and affective needs. International Journal of Disaster Risk Reduction, 116, 105083. https://doi.org/10.1016/j.ijdrr.2024.105083 DOI: https://doi.org/10.1016/j.ijdrr.2024.105083
Kappassova, S., Abylkassymova, A., Bulut, U., Zykrina, S., Zhumagulova, Z., & Balta, N. (2025). Mathematical literacy and its influencing factors: A decade of research findings (2015-2024). Eurasia Journal of Mathematics, Science and Technology Education, 21(7), em2671. https://doi.org/10.29333/ejmste/16615 DOI: https://doi.org/10.29333/ejmste/16615
Kholid, M. N., Mahmudah, M. H., Ishartono, N., Putra, F. G., & Forthmann, B. (2024). Classification of students’ creative thinking for non-routine mathematical problems. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2394738 DOI: https://doi.org/10.1080/2331186X.2024.2394738
Kholil, M., Faizah, N., Hidayati, A., & Thelma, C. C. (2025). Exploring students’ creative thinking processes in solving non-routine mathematical problems. EDUCARE Journal of Primary Education, 6(2), 155–170.
Kornai, A. (2008). Mathematical linguistics. Springer Science & Business Media. https://doi.org/10.1007/978-1-84628-986-6 DOI: https://doi.org/10.1007/978-1-84628-986-6
Kurniawan, H., Darmono, P. B., Mursalin, M., Shang, Y., Weinhandl, R., & Sharma, R. (2022). Describe mathematical creative thinking skills and problem-solving strategies by prospective teacher students on non-routine problems. International Journal of Trends in Mathematics Education Research, 5(2). https://doi.org/10.33122/ijtmer.v5i2.140 DOI: https://doi.org/10.33122/ijtmer.v5i2.140
Lessing, M. J., & Ogbonnaya, U. I. (2026). Reasoning and proof in mathematics education: a systematic literature review. Discover Education, 5, 31. https://doi.org/10.1007/s44217-025-01016-1 DOI: https://doi.org/10.1007/s44217-025-01016-1
Lit, S., Kool, M., & Drijvers, P. (2026). Teacher knowledge and skills for mathematical problem solving: a systematic literature review. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-025-09737-8 DOI: https://doi.org/10.1007/s10857-025-09737-8
Marlina, E. (2019). Meningkatkan kecerdasan linguistik pada pembelajaran matematika melalui Cooperative Integrated Reading and Composition (CIRC). Metamorfosis: Jurnal Bahasa, Sastra Indonesia dan Pengajarannya, 12(2), 12-16. DOI:10.55222/metamorfosis.v12i2.224 DOI: https://doi.org/10.55222/metamorfosis.v12i2.224
Maskar, S. (2020). Maximum Spanning Tree Graph Model: National Examination Data Analysis of Junior High School in Lampung Province. Proceeding International Conference on Science and Engineering, 3, 375-378. https://doi.org/10.14421/icse.v3.531 DOI: https://doi.org/10.14421/icse.v3.531
Maskar, S., & Herman, T. (2024). The relation between teacher and students’ mathematical mindsets to the student’s comprehension of mathematics concepts. Journal on Mathematics Education, 15(1), 27-54. https://doi.org/10.22342/jme.v15i1.pp27-54 DOI: https://doi.org/10.22342/jme.v15i1.pp27-54
Mastika Yasa, P. A. E., & Bhoke, W. (2019). Pengaruh model problem based learning terhadap hasil belajar matematika pada siswa sd. Journal of Education Technology, 2(2), 70-75. https://doi.org/10.23887/jet.v2i2.16184 DOI: https://doi.org/10.23887/jet.v2i2.16184
Mufidah, S. N. A., & Mukhlisin. (2020). Pembentukan kecerdasan linguistik dan keterampilan membaca Alquran siswa Madrasah Tsanawiyah. Jurnal Pendidikan Islam, 4(1), 59-78.
Muhaimin, L. H., Sholikhakh, R. A., Yulianti, S., Ardani, Hendriyanto, A., & Sahara, S. (2024). Unlocking the secrets of students’ mathematical literacy to solve mathematical problems: A systematic literature review. Eurasia Journal of Mathematics, Science and Technology Education, 20(4), em2428. https://doi.org/10.29333/ejmste/14404 DOI: https://doi.org/10.29333/ejmste/14404
Mukhlesiyeni, E. (2024). Reading Literacy: Difficulty In Understanding Problems In Mathematical Problem Solving. Genderang Asa: Journal of Primary Education, 5(2), 63-75. https://doi.org/10.47766/jga.v5i2.4998 DOI: https://doi.org/10.47766/jga.v5i2.4998
Murdiyani, N. M. (2018). Developing non-routine problems for assessing students’ mathematical literacy. Journal of Physics: Conference Series, 983, 012115. https://doi.org/10.1088/1742-6596/983/1/012115 DOI: https://doi.org/10.1088/1742-6596/983/1/012115
Nguyen, H. A., Guo, Y., Stamper, J., & McLaren, B. M. (2020). Improving Students’ Problem-Solving Flexibility in Non-routine Mathematics. In I. Bittencourt, M. Cukurova, K. Muldner, R. Luckin, and E. Millán (eds) Artificial Intelligence in Education. AIED 2020. Lecture Notes in Computer Science, vol 12164. Springer. https://doi.org/10.1007/978-3-030-52240-7_74 DOI: https://doi.org/10.1007/978-3-030-52240-7_74
Nisa, F. B., Mukhlis, M., & Maswar, M. (2020). Analisis hubungan antara kecerdasan logis matematis dengan kemampuan komunikasi matematis siswa. Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika, 2(2), 199-211. https://doi.org/10.35316/alifmatika.2020.v2i2.199-211 DOI: https://doi.org/10.35316/alifmatika.2020.v2i2.199-211
Nurlita, M., Juandi, D., & Priatna, B. A. (2025). The Essence of Students’ Adaptive Reasoning Ability in Mathematics Learning: A Systematic Literature Review. The Eurasia Proceedings of Educational and Social Sciences, 47, 95-108. https://doi.org/10.55549/epess.984 DOI: https://doi.org/10.55549/epess.984
OECD. (2019). PISA 2018 Results (Volume I): What Students Know and Can Do. Paris: OECD Publishing. https://doi.org/10.1787/5f07c754-en DOI: https://doi.org/10.1787/5f07c754-en
Ozrecberoglu, N., Aydın, S., & Aydın, O. (2022). Students’ Skills In Solving NonRoutine Mathematical Problems. Education Quarterly Reviews, 5(2), 446-461. DOI: 10.31014/aior.1993.05.02.504 DOI: https://doi.org/10.31014/aior.1993.05.02.504
Partee, B. B., Meulen, A., & Wall, R. E. (1993). Mathematical methods in linguistics. Springer. https://doi.org/10.1007/978-94-009-2213-6 DOI: https://doi.org/10.1007/978-94-009-2213-6
Patria, R. R. (2021). Why Indonesian students struggle in reading test. In Proceedings of the International Conference on Educational Assessment and Policy (ICEAP 2020) (pp. 29-40). Atlantis Press. https://doi.org/10.2991/assehr.k.210423.060 DOI: https://doi.org/10.2991/assehr.k.210423.060
Pramudiani, P., & Herman, T. (2021). Students’ Mathematical Thinking in Column Calculation and Algorithms. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(2), 1928-1942. https://doi.org/10.31004/cendekia.v5i2.697 DOI: https://doi.org/10.31004/cendekia.v5i2.697
Saygılı, S. (2017). Examining The Problem Solving Skills and The Strategies Used by High School Students in Solving Non-routine Problems / Lise Öğrencilerinin Rutin Olmayan Problemleri Çözme Becerilerinin ve Kullandıkları Stratejilerin İncelenmesi. E-Uluslararası Eğitim Araştırmaları Dergisi, 8(2), 91-114. https://doi.org/10.19160/ijer.321075
Sinniah, C., Abdullah, A. H., & Osman, S. (2022). Preliminary study to enhance mathematical creativity in non-routine mathematics problem solving among primary school students. Journal of Positive School Psychology, 6(6), 3676-3686.
Stoffelsma, L., & Spooren, W. (2019). The relationship between English reading proficiency and academic achievement of first-year science and mathematics students in a multilingual context. International Journal of Science and Mathematics Education, 17, 905-922. https://doi.org/10.1007/s10763-018-9905-z DOI: https://doi.org/10.1007/s10763-018-9905-z
Surani, D. (2019). Studi literatur: Peran teknologi pendidikan dalam pendidikan 4.0. Prosiding Seminar Nasional Pendidikan FKIP, 2(1), 456-469. DOI: https://doi.org/10.30998/prokaluni.v2i0.145
Talasi, T., & Krishnanair, A. (2024). Mathematics teachers solving non-routine problems on financial mathematics. Journal of Education Studies, 2024(1). https://doi.org/10.59915/jes.2024.si1.10 DOI: https://doi.org/10.59915/jes.2024.si1.10
Tamaulina, T. (2025). Developing critical and logical thinking skills through the use of non-routine problems in mathematics education. The Journal of Academic Science, 2(9), 2172-2179. https://thejoas.com/index.php/thejoas/article/view/487/483
Tanfidiyah, N., & Utama, F. (2019). Mengembangkan kecerdasan linguistik anak usia dini melalui metode cerita. Golden Age: Jurnal Ilmiah Tumbuh Kembang Anak Usia Dini, 4(3), 9-18. https://doi.org/10.14421/jga.2019.43-02 DOI: https://doi.org/10.14421/jga.2019.43-02
Tasarib, A., Rosli, R., & Rambely, A. S. (2025). Impacts and challenges of mathematical modelling activities on students’ learning development: A systematic literature review. Eurasia Journal of Mathematics, Science and Technology Education, 21(5), em2641. https://doi.org/10.29333/ejmste/16398 DOI: https://doi.org/10.29333/ejmste/16398
Wahyuni, A., Kusumah, Y. S., Martadiputra, B. A. P., & Hendriyanto, A. (2025). Technological-pedagogical knowledge in problem-solving teaching: An exploratory study of mathematics teachers. International Journal of Learning Technology, 20(2), 212-237. https://doi.org/10.1504/IJLT.2025.146793 DOI: https://doi.org/10.1504/IJLT.2025.146793
Yeza, J. H. R., Nusantara, T., Rahayuningsih, S., Dewi, R. S. I., & Ekawati, R. (2025). The Implementation of Metacognitive Strategies in Elementary Mathematics Learning: A Systematic Literature Review. Sekolah Dasar: Kajian Teori Dan Praktik Pendidikan, 34(2), 217-233. https://journal-fip.um.ac.id/index.php/sd/article/view/2338/1737