Designing a Hypothetical Learning Trajectory for Arithmetic Sequences through Ethnomathematics of the Gordang Sambilan Mandailing: A Design Research Study
Keywords:
Ethnomatematics, Gordang Sambilan, Learning Trajectory, Mathematics Education, StudentAbstract
Students in the Mandailing region continue to struggle with the concept of arithmetic sequences because instruction is generally delivered through abstract, decontextualized formulas that ignore learners' cultural surroundings. Although the Gordang Sambilan, a nine-drum ensemble whose playing pattern embodies a numerical sequence, offers a ready-made cultural context for teaching arithmetic sequences, no prior study has translated this instrument into a validated Hypothetical Learning Trajectory (HLT) for classroom use. This study therefore designed and empirically tested an HLT for arithmetic sequences based on the Gordang Sambilan context, using the Realistic Mathematics Education (RME) approach. A design research method comprising three phases, preliminary design, teaching experiment, and retrospective analysis, was carried out with 32 seventh-grade students at SMP Negeri 2 Satu Atap Pangkatan, North Sumatra, selected through purposive sampling across low, medium, and high socioeconomic status (SES) groups. Data were collected through learning outcome tests, participatory interviews, and classroom observations, and were analyzed descriptively-qualitatively by comparing the hypothesized learning steps with students' actual responses, supported by source and technique triangulation. The retrospective analysis showed that students' understanding progressed through the intended learning trajectory, from watching and identifying the Gordang Sambilan's playing pattern, to expressing that pattern informally, to formally defining and computing arithmetic sequences. Paired-samples t-tests indicated statistically significant gains from pre-test to post-test in all three SES groups (p < .001, Cohen's d > 1.80), while a one-way ANOVA found no significant difference in post-test achievement across SES groups, F(2, 29) = 0.93, p = .406, indicating that the trajectory supported comparable gains regardless of students' socioeconomic background. These findings contribute a validated, replicable local instructional theory that demonstrates how Mandailing cultural artifacts can be systematically embedded in RME-based instruction on arithmetic sequences
References
Ahmad, M., Pricilia, G., Elindra, R., Lubis, I., & Rangkuti, R. (2022). Pembelajaran Matematika Realistik Berbasis Budaya Mandailing Berbantuan TPACK: Fokus pada Berpikir Kritis. EDUPEDIA Publisher.
Ahmad, M., Pricilia, G. M., Elindra, R., Rangkuti, R. K., Nasution, D. P., & Rangkuti, A. N. (2022). Textbook products with TPACK-assisted Mandailing culture-based realistic mathematics learning model: A development study to learn critical thinking skills. Library Progress International, 42(3), 25702–25711. https://doi.org/10.48165/bpas.2022.42z.3.29
Ade, I. P., Payadnya, A., Puspadewi, K. R., & Setiawan, G. I. (2025). Transforming Geometry Learning with an Interactive E-Module In- tegrating Ethno-Realistic Mathematics Education : A Design-Based Approach to Enhancing Numeracy Skills. 17(5), 24–51.
Amelia, D., & Elniati, S. (2021). Dengan Pendekatan Matematika Realistik Indonesia di Kelas VIII SMP / MTs. 10(3), 44–50.
Annur, M. F., Liliana, S., Suprihatiningsih, S., & Rangkuti, R. K. (2025). Knowledge mapping of deep learning in mathematics instruction: A bibliometric study. AlphaMath: Journal of Mathematics Education, 11(2), 159–176. https://doi.org/10.30595/alphamath.v11i2.27981
Afriansyah, E. A., & Arwadi, F. (2021). Learning Trajectory of Quadrilateral Applying Realistic Mathematics Education : Origami-Based Tasks. 13(4), 42–78.
Aqib, M. A., Suprihatiningsih, S., Rangkuti, R. K., Kintoko, B. R., & Ellissi, W. (2023). Development TPACK-based online mathematics instructional design model: A meta-synthesis approach. Proceedings of the 2nd UPY International Conference on Education and Social Science (UPINCESS 2023). Link Atlantis Press
Ardiana, N., Harahap, S., Ahmad, M., & Rangkuti, R. (2023). Model CORE Terintegrasi TPACK Berbasis Ethnomathematics. JURNAL e-DuMath, 11(2), 178-200. https://doi.org/10.52657/je.v11i2.2163
Ardianingsih, A., Lusiyana, D., & Rahmatudin, J. (2020). Penerapan Pembelajaran Realistic Mathematic Education Berbasis Etnomatematika Untuk Meningkatkan HOTS Matematik Siswa Ethnomathematic-Based Realistic Mathematics Learning To Improve Students ’ Mathematical Hots. 4, 148–161.
Astuti, S. A. B., Siregar, R. N., & Rangkuti, R. K. (2025). Analysis of students’ mathematical critical thinking in solving function derivative problems based on gender differences. JIML: Jurnal Ilmiah Manajemen dan Logistik, 8(1), 188–199. https://doi.org/10.22460/jiml.v8i1.24647
Boutiuc-kaiser, A. (2024). Navigating educational trajectories and transitions : A qualitative systematic literature review on international STEM doctoral students. 14, 184–216. https://doi.org/10.1556/063.2023.00234
Bowie, L. (2023). Using games to develop number sense in early grade maths clubs. 1–11.
Course, M. (2017). The Effects of Realistic Mathematics Education on Students ’ Math Self Reports in Fifth Grades. 9(1), 81–103.
Das, K. (2020). Realistic Mathematics & Vygotsky’s Theories in Mathematics Education.
Rahmat, D., Pantiwati, Y., Cholily, Y. M., Rangkuti, R. K., Saprida, Ritonga, W.A. (2026). Growing awareness of conservation environment biology education students: Ethnobiology approach based on socio-ecological problems. International Journal of Humanities Education and Social Sciences, 5(6).
Dimasindel, M. (2025). Strategies of Secondary Mathematics Teachers in Module Development : The Case of Cotabato City. 18.
Ekawati, A., Hendra, K., Shodiq, L.J., Efuansyah., Hodiyanto., Rangkuti, R.K., Frentika, D., Hariyanti, F., Ramlan, A.M., Susanti, G. (2021). Paradoks: filsafati pendidikan matematika. Unesa University Press.
Fauzan, A., & Harisman, Y. (2022). Local instructional theory of probability topics based on realistic mathematics education for eight-grade students. 13(4), 703–722.
Fauzan, A., Rott, B., Fitriza, R., Zafirah, A., Ismail, R. N., & Setiawan, H. (2025). Designing RME-based learning trajectory with the context of ethnomathematics of Rumah Gadang Minangkabau using augmented reality Diseño de la trayectoria de aprendizaje basada en RME con el contexto de las etnomatemáticas de Rumah Gadang Minangkabau utilizando la realidad aumentada. https://doi.org/10.56294/saludcyt20252293
Fauzanÿ, A., Rott, B., & Johar, R. (2025). Machine Translated by Merancang pembelajaran lintasan berbasis RME dengan konteks etnomatematika Rumah Gadang Minangkabau menggunakan augmented reality Desain Bakat Pembelajaran Berdasarkan RME dengan Konteks Etnomatematika Rumah Gadang Minangkabau Memanfaatkan Realitas Tambahan Google Machine Translated by Google. https://doi.org/10.56294/saludcyt20252293
Fitriah, Annisatul. 2024. Matematika Realistik Indonesia Berbasis Berpikir Kritis Matematis Siswa. Program Studi Tadris Matematika Fakultas Tarbiyah dan Ilmu Keguruan Institut Agama Islam Negri Metro.
Haumeni, J. P., & Nenohai, J. M. H. (2025). Untuk Meningkatkan Hasil Belajar Siswa Kelas Viii SMP Kristen 1 Mollo Utara Pada Materi Pola Bilangan Machine Translated by Google. 50(1), 43–50.
History, A. (2022). Jurnal Kependidikan: 8(4), 985–996.
Hodiyanto., Ekawati, A., Hendra, K., Shodiq, L.J., Efuansyah., Rangkuti, R.K., Frentika, D., Hariyanti, F., Ramlan, A.M., Susanti, G. (2021). Paradigma Filsafat Pendidikan Matematika
Hortelano, J. C., & Lapinid, M. R. (2024). Recontextualizing Kalinga ’ s batek and laga into an ethnomathematical teaching resource : An application of the second generation of didactical engineering. 15(2), 385–402.
International e-Journal of Educational Studies (IEJES) Examining 5th Grade Students ’ Learning on Surface Area Calculations with Realistic Mathematics Education Approach *. (2024). 8, 14–31. https://doi.org/10.31458/iejes.1354835
Jupriaman, J., Ulya, B., Pasaribu, E.Z, Watrianthos, R., Rangkuti, R.K., Harahap, N. (2021). Pembelajaran di Era New Normal: Peluang dan Tantangan. Yayasan Kita Menulis
Kumrat, W., Ratchawet, A., Intharawiset, T., & Chaijalearn, Y. (2025). Guidelines for Organizing STEM Education Through Mudmee Culture to Promote Career Skills for Students in The Ban Mi District Area Lopburi Province. 15(1), 278–290. https://doi.org/10.5539/hes.v15n1p278
Listiawati, N., & Sabon, S. S. (2023). Analysis of implementing Realistic Mathematics Education principles to enhance mathematics competence of slow learner students. 14(4), 683–700.
Lubis, S. I., Mujib, A., & Siregar, H. (2018). Eksplorasi Etnomatematika pada Alat Musik Gordang Sambilan. 1(November), 1–10.
Lubis, S. D., & Rangkuti, R. K. (2020). Pengembangan perangkat pembelajaran berbasis pendekatan matematika realistik untuk meningkatkan kemampuan pemecahan masalah dan kemampuan koneksi matematis siswa SMP Negeri 32 Medan. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(1), 67–74. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/126
Lubis, S. D., & Rangkuti, R. K. (2020). Upaya meningkatkan kemampuan berpikir kreatif dan kemampuan pemecahan masalah matematis siswa dengan menggunakan model pembelajaran project based learning di kelas VIII SMP. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(1), 75–86. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/127
Mairing, J. P. (2023). Ethnomathematics Learning Model Based on Motifs of Dayak Ngaju Central Kalimantan. 15(5).
Mathematics, U. (2020). education sciences Taking Universal Design Back to Its Roots : Perspectives on Accessibility and Identity in Undergraduate Mathematics.
Nasution, T. A., Maryono, I., & Rachmawati, T. K. (2021). Kajian Etnomatematika Pada Alat Gordang Sambilan Kebudayaan Mandailing. 92–115.
Nugraheni, L. P., Marsigit, M., & Info, A. (2021). Realistic mathematics education : An approach to improve problem solving ability in primary school. 15(4). https://doi.org/10.11591/edulearn.v15i4.19354
Nurmala, E., Agustina, S., Widadah, S., & Nisa, P. A. (2021). Developing Realistic Mathematics Problems Based on Sidoarjo Local Wisdom. 13(4), 181–201.
Nurzanna, N., Sandi, D., Ahmad, M., Rangkuti, R.K, Lay, Y., & Akbaş, E. (2026). Interactive E-Book Design Assisted by Heyzine Flipbooks with the Learning Cycle Model to Enhance Learning Creativity. EduBasic Journal: Jurnal Pendidikan Dasar, 8(1), 23-37. https://doi.org/10.17509/ebj.v8i1.40871
Panganiban, J., Norte, C., & Rubio, J. S. (2016). The Ethnomathematics of the Kabihug Tribe in. 10, 211–231.
Pasaribu, E. Z., Rahmi, S. Y., Ritonga, M. W., Watrianthos, R., Ritonga, W. A., Rangkuti, R. K., & Harahap, N. (2020). Belajar statistika: Siapa takut dengan SPSS. Yayasan Kita Menulis. https://kitamenulis.id/2020/07/29/belajar-statistika-siapa-takut-dengan-spss/
Pineda, H., Lorca, A., Cortes, S., Gador, S., Studies, L., Mangompit, R. M., Studies, L., Pacaldo, F. J., & Lorca, E. (2022). Development and Evaluation of A Professional Development Program on Designing Participatory Action Research Projects for Basic Education Teachers. 3351, 161–184. https://doi.org/10.20535/2410-8286.266663
Ramadhana, R. S. A., Marpaung, M. F. R., Rangkuti, R. K., Ritonga, S. I., & Ritonga, W. A. (2020). Penerapan strategi pembelajaran genius learning untuk meningkatkan hasil belajar matematika siswa pada materi ajar persamaan dan pertidaksamaan linear satu variabel. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(2), 6–11. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/129
Rangkuti, A., Adi, M., & Siregar, P. (2023). Exploration of Ethnomathematics in the Design of Mandailing Natal Traditional Houses as a Learning Resource. 7(2), 298–309.
Rangkuti, R. K. (2020). Analisis proses dan kesalahan jawaban siswa pada kemampuan metakognisi matematis. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(1), 47–53. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/125
Rangkuti, R. K. (2021). Pengaruh model pembelajaran auditory intellectually repetition terhadap kemampuan pemecahan masalah matematis siswa. Jurnal Ilmiah Pendidikan Matematika Al Qalasadi, 5(1), 81–88. https://journal.iainlangsa.ac.id/index.php/qalasadi/article/view/2770
Rangkuti, R. K., Albina, M., & Masito, M. (2023). Kemampuan metakognisi dan kemandirian belajar siswa pada pembelajaran discovery learning dan pembelajaran example non-example. JURNAL e-DuMath, 9(1), 47–56. https://doi.org/10.52657/je.v9i1.1923
Rangkuti, R. K., Haryono, E., Suprihatiningsih, S., & Sariman. (2024). Metodologi penelitian kualitatif dan kuantitatif. Perkumpulan Rumah Cemerlang Indonesia
Rangkuti, R. K., & Juniati, D. (2022). Profile of MTs students’ spatial reasoning in solving contextual problems based on mathematical ability. International Journal of Humanities Education and Social Sciences (IJHESS), 1(6). https://doi.org/10.55227/ijhess.v1i6.182
Rangkuti, R. K., Khabibah, S., & Ekawati, R. (2024). Spatial reasoning of mathematics education students: An analysis of differences in solving hyperbola problems based on level of geometry ability. Perspektivy Nauki i Obrazovania, 6(72), 248–260. https://doi.org/10.32744/pse.2024.6.16
Rangkuti, R.K, Khabibah, S., Ekawati, R., Irvan, R., & Ramadhana. (2024). Spatial Reasoning of Field-Dependent Cognitive Students: Analysis of Hyperbola Problem Solving Based on Polya's Stages. Library Progress International, 45(2), 422-433. https://doi.org/10.5958/2322-0961.2024.00067.8
Rangkuti, R. K., Nasution, A. F., Hasibuan, Z., Afrida, A., & Ritonga, W. A. (2022). Pengembangan instrumen tes kompetensi sains Madrasah Tsanawiyah berbasis High Order Thinking Skills (HOTS) untuk meningkatkan kemampuan pemahaman konsep matematis siswa. Al-Khawarizmi: Jurnal Pendidikan Matematika, 3(1), 16–20. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/294
Rangkuti, R. K., Nasution, T. A., Rangkuti, R. T., Nurmasitah, N., & Ar-Razy, M. (2022). Pengembangan pendekatan saintifik K-13 berbasis media Autograph untuk meningkatkan Higher Order Thinking Skills (HOTS). Maju, 9(1), 504–513. https://ejournal.stkipbbm.ac.id/index.php/mtk/article/view/833
Rangkuti, R.K, Ramadhana, R., Harahap, H., Ritonga, S., & Lubis, L. (2023). Pengaruh metode pembelajaran talking stick terhadap kemampuan pemecahan masalah matematis siswa. Jurnal Pendidikan Informatika dan Sains, 12(1), 284-291. https://doi.org/10.31571/saintek.v12i1.4891
Rangkuti, R. K., Ramadhana, R. S. A., & Ritonga, W. A. (2021). Determining symmetry groups on geometric builds using reflection and rotation transformation. IOP Conference Series: Materials Science and Engineering, 1156(1), 012010. https://doi.org/10.1088/1757-899X/1156/1/012010
Rangkuti, R. K., Ramli, M., & Nasution, M. I. (2019). Peningkatan kreativitas dan hasil belajar matematika melalui model pembelajaran kooperatif Tipe-STAD terintegrasi ICT. Jurnal Ilmiah Pendidikan Matematika Al Qalasadi, 3(1), 64–69. https://journal.iainlangsa.ac.id/index.php/qalasadi/article/view/885
Rangkuti, R.K, Ritonga, S.I, & Ritonga, W.A. (2019). Pengaruh Model Pembelajaran Learning Cycle terhadap Kemampuan Pemecahan Masalah Matematis Siswa SMKN 1 Rantau Utara. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(2), 28-32. https://doi.org/10.24256/jpm.v1i2.607
Rangkuti, R. K., Ritonga, W. A., & Ritonga, S. I. (2020). Penerapan pembelajaran matematika realistik untuk meningkatkan kemampuan pemecahan masalah matematis. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(1), 15–21. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/122
Rangkuti, R. K., Ritonga, W. A., & Ritonga, S. I. (2020). Peningkatan kemampuan komunikasi matematis melalui pembelajaran ekspositori berbantuan media Autograph. Al-Khawarizmi: Jurnal Pendidikan Matematika, 1(1), 7–14. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/121
Rangkuti, R. K., Suprihatiningsih, S., Rahayu, S., & Razy, M. A. (2023). Pengembangan media pembelajaran matematika berbantuan Geogebra untuk meningkatkan kemampuan pemahaman konsep matematis siswa. Riemann: Research of Mathematics and Mathematics Education, 5(1), 29–44. https://doi.org/10.38114/riemann.v5i1.294
Rangkuti, R.K, Suningsih, A., & Suprihatiningsih, S. (2021). Developing deep knowledge in middle school mathematics: a textbook for teaching in the age of technology. Education, 3, 13. https://doi.org/10.1080/03004279.2021.1923116
Rezeki, S. (2021). Mathematics and Cultures : A New Concept in Maintaining Cultures through the Development of Learning Devices. 14(3), 375–392.
Risdiyanti, I., Charitas, R., & Prahmana, I. (2021). Melalui Boneka Bayangan Indonesia dan Kisah-Kisah Mahabharata. 10(2), 331–348.
Ritonga, S.I, Anggraeni, R., Pasaribu, E., Ritonga, W., & Rangkuti, R. (2023). Pengaruh Pembelajaran Matematika Realistik Terhadap Kemampuan Pemecahan Masalah Matematis Siswa Kelas X SMA Negeri 2 Rantau Utara. Riemann: Research of Mathematics and Mathematics Education, 5(2), 53-60. https://doi.org/10.31851/riemann.v5i2.11545
Ritonga, S. I., Ramadhana, R. S. A., Dalimunthe, A. H., Latifah, N., Siregar, M. R. D., Rangkuti, R.K. (2025). The effectiveness of realistic mathematics learning based on Mandailing culture with a deep learning approach in improving logical thinking skills. Riemann: Research of Mathematics and Mathematics Education, 7(2), 111–120. https://doi.org/10.38114/riemann.v7i2.385
Ritonga, T. N. S., Ritonga, W. A., & Rangkuti, R. K. (2022). Upaya peningkatan hasil belajar matematika siswa melalui model pembelajaran contextual teaching and learning di SMKS Harapan Al-Washliyah Sigambal TA 2021/2022. Al-Khawarizmi: Jurnal Pendidikan Matematika, 4(1), 37–46. https://ejurnal.univalabuhanbatu.ac.id/index.php/al-khawarizmi/article/view/395
Ritonga, W.A, Fadillah, R., Yani, J., Harahap, R., Rivani, I., Ritonga, S.I, & Rangkuti, R.K. (2023). Digitalisasi Bahan Ajar Berbasis AI untuk Mendeteksi dan Menganalisis Kesalahan Konsep Dalam Pembelajaran.
Ritonga, W. A., Ritonga, S. I., Rangkuti, R. K., Syafaruddin, S., Albina, M., & Suryadi, S. (2023). Pemanfaatan Adobe Flash dengan pendekatan konstruktivis dalam meningkatkan efektivitas pemahaman materi pelajaran fisika di SMK Siti Banun. U-NET: Jurnal Teknik Informatika, 7(2), 25–31. https://ejurnal.univalabuhanbatu.ac.id/index.php/u-net/article/view/512.
Ritonga, W. A., Ritonga, S. I., Rangkuti, R. K., Syafriyeti, R., Srimulat, F. E. (2026). Digitalisasi pembelajaran sains melalui PhET laboratory literasi sains di era society 5.0. Servis: Jurnal Pengabdian dan Layanan kepada Masyarakat, 4(2), 131–136.
Rohmah, A. N., Hidayati, Y. M., Fauziati, E., & Etika, L. (2022). Planning for Cultivation Numerical Literacy in Mathematics Learning for Minimum Competency Assessment (AKM) in Elementary Schools. 9(3), 503–516. https://doi.org/10.53400/mimbar-sd.v9i3.51774
Sahara, S., Juandi, D., Turmudi, T., Hendriyanto, A., & Hakim, L. (2024). Geometric Reasoning to Reinventing Quadratic Formula : The Learning Trajectory on Realistic Mathematics Education Principles. 16(3).
Salamah, S., & Ginting, B. (2023). Ethnomathematics in Ulos Abit Godang of South. 06(November), 341–350. https://doi.org/10.24042/ijsme.v5i1.19334
Samsir, Rangkuti, R. K., Irmayani, D., Edi, F., Harahap, J. M., Jupriaman, Ulya, B., & Watrianthos, R. (2021). Naives Bayes algorithm for Twitter sentiment analysis. Journal of Physics: Conference Series, 1933(1), 012019. https://doi.org/10.1088/1742-6596/1933/1/012019
Saubaki, E. A., Leton, S. I., & Aleksius, M. (2024). Jurnal Ilmiah Pendidikan Citra Bakti Meningkatkan Hasil Belajar Siswa. 11(April), 475–486.
Sengodan, V., Maat, S. M., & Sofwan, M. (2025). A Bibliometric and Systematic Analysis of Mathematics Interest ( 2021-2025 ). 17.
Silalahi, L. B., Sinaga, W., Purba, T. N., Rezha, S., Hutahuruk, A. J. B., & Sinaga, B. (2022). Pengembangan Pembelajaran Matematika Realistik Berbasis Etnomatematika dengan Konteks Gonrang Sipitu Pitu Simalungun. 6, 2497–2504.
Suprihatiningsih, S., Rangkuti, R.K, Annur, M., Erwin, Irvan, & Bonyah, E. (2026). Exploring Gender Differences in Spatial Reasoning: Analyzing Hyperbolic Problem-Solving Skills Among University Students. Mosharafa: Jurnal Pendidikan Matematika, 1(15), 338-351. https://doi.org/10.31980/mosharafa.v15i1.3060
Suprihatiningsih, S., Suningsih, A., Rangkuti, R. K., Annur, M. F., & Erwin, E. (2025). Development of geometry problem-solving task instrument to identify critical thinking of junior high school learners. Radian Journal: Research and Review in Mathematics Education, 4(4), 144–157. https://doi.org/10.35706/radian.v4i4.13207.
Suprihatiningsih, S., Uripno, G., Sujadi, I., & Rangkuti, R. K. (2026). Emerging artificial intelligence in mathematics education: A systematic literature review. Journal of Learning for Development, 13(2), 298–313. https://doi.org/10.56059/jl4d.v13i2.2200.
Tan, B. C., & Moore, C. (2020). A Community Anchor : College Personnel Perspectives about Developing and Implementing Career Education Programs. 1–5.
Tupulu, N., Hermiati, K., Uripno, G., Suprihatiningsih, S., & Rangkuti, R. K. (2025). Bibliometrics analysis of AI integration in mathematics teaching. Mosharafa: Jurnal Pendidikan Matematika, 14(2), 387–400. https://doi.org/10.31980/mosharafa.v14i2.4112
Ulandari, L., Amry, Z., & Saragih, S. (2019). Development of Learning Materials Based on Realistic Mathematics Education Approach to Improve Students ’ Mathematical Problem Solving Ability and Self-Efficacy. 14(2), 375–383.
Utami, N. S., Prabawanto, S., & Dahlan, J. A. (2024). An analysis of mathematics textbook of Indonesian curriculum based on functional thinking framework. 8(4), 199–212. https://doi.org/10.23917/jramathedu.v8i4.1928
Uripno, G., Suprihatiningsih, S., & Rangkuti, R. K. (2024). Artificial intelligence integration: Error self-reflection in solving integral problems. AlphaMath: Journal of Mathematics Education, 10(2), 177–189. https://doi.org/10.30595/alphamath.v10i2.21544.
Wibawa, K. A., Gede, I. D., Pandawana, A., & Wena, I. M. (2025). Development of Realistic Mathematics Education-Based Learning Media Using the Solar2D Applications for Entrepreneurship Arithmetic. 17(2).
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
