Hypothetical learning trajectory sistem pertidaksamaan linear dua variabel berbasis etnomatematika untuk mendukung pengembangan kemampuan penalaran matematika siswa SMK

Authors

  • Fadhilah Fadhilah Universitas PGRI Palembang
  • Ardian Saputra Universitas PGRI Palembang
  • Herlina Maya Sari Universitas PGRI Palembang
  • Herda Yowan Mei Randa Universitas PGRI Palembang
  • Nila Kesumawati Universitas PGRI Palembang
  • Allen Marga Retta Universitas PGRI Palembang

DOI:

https://doi.org/10.22460/jpmi.v9i4.31685

Keywords:

Etnomatematika, DDR, Hypothetical Learning Trajectory, Penalaran Matematika, SPtLDV

Abstract

This study was motivated by the low mathematical reasoning ability of vocational high school students. This study aimed to design an ethnomathematics-based Hypothetical Learning Trajectory on the topic of SPtLDV employed Didactical Design Research at the prospective analysis stage through data collection in the form of textbook and learning material analysis, diagnostic tests involving 14 students, interviews, and documentation. The data were analyzed through data reduction, data presentation, and conclusion. The results showed the existence of epistemological, ontogenical, and didactical obstacles in learning SPtLDV. Based on these obstacles, an HLT was designed consisting of activities involving identifying contextual problems, mathematical modeling, graphical representation, and drawing conclusions by integrating local cultural contexts. The novelty of this study lies in the development of an ethnomathematics-based HLT grounded in the identification of students’ learning obstacles and the integration of local cultural contexts.

References

Agustito, D., Kuncoro, K., Kusumaningrum, B., Trisniawati, T., Sukiyanto, S., & Wijayanti, D. (2025). Praxeological analysis of linear algebra content presentation: a case study of indonesian mathematics textbooks. Eurasia Journal of Mathematics, Science and Technology Education, 21(6), 1–16. https://doi.org/10.29333/ejmste/16508

Anggraini, D., Yohanie, D. D., & Nurfahrudianto, A. (2022). Analisis problematika siswa dalam menyelesaikan soal Sistem Pertidaksamaan Linear Dua Variabel ( SPtLDV ) berdasarkan teori pemahaman SKEMP. Prosiding Seminar Nasional Kesehatan, Sains Dan Pembelajaran, 1, 395–404. https://doi.org/10.29407/seinkesjar.v2i1.3050

Apriatni, S., Syamsuri, Nindiasari, H., & Sukirwan. (2022). The influence of ethnomathematics based learning on mathematics problem-solving ability: a meta-analysis. JUPITEK (Jurnal Pendidikan Matematika), 5(1), 23–33. https://doi.org/10.30598/jupitekvol5iss1pp23-33

Badan Standar, Kurikulum, dan A. P. (2025). Keputusan kepala badan standar, kurikulum, dan asesmen pendidikan nomor 046/h/kr/2025 tentang capaian pembelajaran pada pendidikan anak usia dini, jenjang pendidikan dasar, dan jenjang pendidikan menengah. Kementerian Pendidikan Dasar dan Menengah Republik Indonesia.

Citriadin, Y. (2020). Metode penelitian kualitatif. Sanabil. https://www.researchgate.net/publication/393517496_METODOLOGI_PENELITIAN

Deciku, B., Musdi, E., Arnawa, I. M., & Suherman. (2023). Hypothetical learning trajectory sistem persamaan linear dua variabel dengan pendekatan realistic mathematics education. Jurnal Cendekia: Jurnal Pendidikan Matematika, 07(1), 185–196. https://doi.org/10.31004/cendekia.v7i1.1781

Fitri, A., & Noer, S. H. (2022). Analisis kemampuan penalaran matematis dan self esteem peserta didik pada materi program linear. JMPM (Jurnal Media Pendidikan Matematika), 10(1), 13–27. https://doi.org/10.33394/mpm.v10i1.4254

Fuadiah, N. F. (2015). Hypothetical learning trajectory dan peranannya dalam perencanaan pembelajaran matematika. Prosiding Seminar Nasional Matematika Dan Pembelajarannya, 382–387.

Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In Educational Design Research (pp. 45–85). Routledge.

Harumawati, V., Adibah, F., & Antonius, R. (2023). Analisis kemampuan koneksi matematis siswa pada materi sistem pertidaksamaan linear dua variabel kelas X MIPA SMA widya darma Surabaya. Jurnal Widyaloka, 10(2), 212–225.

Herlawan, & Liyanti, W. O. N. (2021). Pengaruh penguasaan konsep SPtLDV terhadap kemampuan menyelesaikan soal-soal program linear kelas XI MIA SMAN 3 Baubau. Jurnal Akademik Pendidikan Matematika, 7(1), 29–35. https://doi.org/10.55340/japm.v7i1.387

Hidayati, I., Deciku, B., & Azizah, T. (2022). Hypothetical learning trajectory sistem persamaan linear dua variabel berbasis realistic mathematics education. Juring (Journal for Research in Mathematics Learning), 5(2), 109–118. https://doi.org/10.24014/juring.v5i2.14933

Isharyadi, R., & Nurjanah. (2025). Exploring three-dimensional geometry using praxeological analysis: Indonesian textbook insights. Journal on Mathematics Education, 16(1), 343–364. https://doi.org/10.22342/jme.v16i1.pp343-364

Isnawan, M. G. (2024). Didactical design research. Nashir Al-Kutub Indonesia.

Jamaludin, A., & Anwar, C. (2025). Improving students’ mathematical representation through contextual teaching materials with a scientific approach: an ADDIE-based development study. Journal of Literacy Education, 1(3), 118–128. https://doi.org/10.64780/jole.v1i3.79

Jannah, M., Supratman, & Muhtadi, D. (2020). Kemampuan penalaran matematik peserta didik underachiever dalam menyelesaikan masalah program linear. JARME (Journal of Authentic Research on Mathematics Education), 2(1), 1–10. https://doi.org/10.37058/jarme.v2i1.1297

Munir, M. S., Amrullah, A. M. K., Murni, W., Sulaikho, S., & Anwar, M. S. (2023). Evaluasi kurikulum pembelajaran bahasa arab di STIT al muslihuun Tlogo Blitar. BENJOLE (Borneo Journal of Language and Education), 3(1), 67–86. https://doi.org/10.21093/benjole.v3i1.6440

Pratiwi, K. H., Situmorang, R., & Iriani, T. (2024). The potential of interactive multimedia with contextual teaching and learning approaches in mathematics learning: a systematic literature review. Jurnal EDUCATIO: Jurnal Pendidikan Indonesia, 10(2), 69–77. https://doi.org/10.29210/1202424526

Rani, T. P., & Rian Antony. (2025). Efektifitas penggunaan geogebra dalam meningkatkan pemecahan masalah matematis. Jurnal Pendidikan MIPA, 15(4), 1551–1560. https://doi.org/10.37630/jpm.v15i4.3504

Retnawati, H., Sulistyaningsih, E., & Rasmuin. (2020). How to teach mathematical concept easily? (learning trajectory of two-variable linear equation system topic in junior high school). Materials of International Practical Internet Conference “Challenges of Science,” 5–19. https://doi.org/10.31643/2020.001

Rezky, R., & Jais, E. (2020). Hyphotetical learning trajectory: pemecahan masalah materi sistem persamaan linear dua variabel. Mandalika Mathematics and Education Journal, 2(2), 92–101. https://doi.org/10.29303/jm.v2i2.1780

Rosaliana, D., Muhtadi, D., & Setiawati, T. (2019). Kemampuan Penalaran Matematis Siswa Pada Materi Program Linear. Prosiding Seminar Nasional & Call For Papers, 127–134. https://scholar.google.com/scholar?hl=en&as_sdt=0%2C5&q=Kemampuan+Penalaran+Matematis+Siswa+Pada+Materi+Program+Linear.+&btnG=

Rosanti, A., Tahir, M., & Maulyda, M. A. (2022). Analisis kesulitan belajar matematika materi penjumlahan dan pengurangan pada kelas II di SDN 3 Pringgajurang. Jurnal Ilmiah Profesi Pendidikan, 7(3b), 1490–1495. https://doi.org/10.29303/jipp.v7i3b.812

Ruamba, M. Y., Sukestiyarno, Y., Rochmad, R., & Asih, T. S. N. (2025). The impact of visual and multimodal representations in mathematics on cognitive load and problem-solving skills. International Journal of Advanced and Applied Sciences, 12(4), 164–172. https://doi.org/10.21833/ijaas.2025.04.018

Sholikhah, O. H., & Chamidah, A. (2018). Penalaran matematis: pembiasaan soal high order thinking pada siswa usia sekolah dasar. Scholaria: Jurnal Pendidikan Dan Kebudayaan, 12(3), 216–224. https://doi.org/10.24246/j.js.2022.v12.i3.p216-224

Soebagyo, J., Andriono, R., Razfy, M., & Arjun, M. (2021). Analisis peran etnomatematika dalam pembelajaran matematika. ANARGYA: Jurnal Ilmiah Pendidikan Matematika, 4(2), 184–190. https://doi.org/10.24176/anargya.v4i2.6370

Suryadi, D. (2010). Penelitian pembelajaran matematika untuk pembentukan karakter bangsa. Seminar Nasional Matematika Dan Pendidikan Matematika, 1, 1–14.

Suryadi, D. (2013). Didactical Design Research (DDR) dalam pengembangan pembelajaran matematika. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika, 1, 3–12.

Tanzimah. (2018). Pembelajaran program linear menggunakan aplikasi komputer geogebra. Prosiding Seminar Nasional 21 Universitas PGRI Palembang, 425–430.

Umasangaji, S., Hairun, Y., & Afandi, A. (2021). Analisis Kesalahan Skill Dalam Menyelesaikan Soal Sistem Pertidaksamaan Linear Dua Variabel Pada Studi Kasus Siswa Kelas X MIA 6 SMA Negeri 4 Kota Ternate. Jurnal Pendidikan Guru Matematika, 1(2), 156–170. https://doi.org/10.33387/jpgm.v1i2.3147

Utami, N. A. F., & Marlina, R. (2023). Analisis kesulitan menyelesaikan soal cerita berdasarkan tahapan polya pada saat pembelajaran daring. Jurnal Didactical Mathematics, 5(2), 591–596. https://doi.org/10.31949/dm.v5i2.6289

Walida, S., Fahriza Fuadiah, N., & Kuswidyanarko, A. (2023). Desain didaktis konsep pecahan desimal untuk kelas IV sekolah dasar. Pedagogy: Jurnal Pendidikan Matematika, 8(1), 87–98. https://doi.org/10.30605/pedagogy.v8i1.2387

Żądło-Treder, J. (2021). Iconic and symbolic representation in early mathematics teaching. Elementary Education in Theory and Practice, 16(3), 11–25. https://doi.org/10.35765/eetp.2021.1661.01

Zulkarnain, A. N. B. I., Marpaung, Z., Panggabean, E. M., & Harahap, T. H. (2025). Lintasan belajar siswa dalam memahami sistem persamaan linier dua variabel melalui problem based learning. AN NAJAH (Jurnal Pendidikan Islam Dan Sosial Keagamaan), 04(01), 51–62

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Published

2026-07-26

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Vol. 9 No. 4 (2026): JPMI

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