Learning Trajectory dalam Pembelajaran Pecahan di Sekolah Dasar: Sebuah Systematic Literature Review

Authors

DOI:

https://doi.org/10.21831/jpms.v14i2.99773

Keywords:

Learning trajectories, Pecahan, Sekolah dasar

Abstract

Penelitian ini bertujuan menganalisis integrasi, karakteristik penerapan Learning Trajectories (LT), dampaknya terhadap hasil belajar, serta peluang penelitian selanjutnya. Kajian ini menggunakan metode Systematic Literature Review alur PRISMA dengan tahapan identifikasi, penyaringan, dan inklusi. Database Google Scholar, DOAJ, ERIC, dan ScienceDirect digunakan untuk mencari artikel pada rentang 2017-2025. Terdapat 19 artikel yang memenuhi kriteria inklusi. Hasil sintesis menunjukkan integrasi dominan pada penerapan LT terintegrasi pendekatan Pendidikan Matematika Realistik Indonesia (PMRI) dan Realistic Mathematics Education (RME) dengan empat karakteristik utama, yaitu pembelajaran kontekstual, representasi konsep bertahap, desain berbasis hambatan belajar, dan eksploratif. Penerapan LT berdampak positif terhadap pemahaman konsep, kemampuan representasi, dan pemecahan masalah. Hasil kajian menunjukkan keberhasilan LT lebih ditentukan pada aktivitas yang dirancang daripada media yang digunakan. Hasil kajian juga menunjukkan peluang pengembangan LT melalui eksplorasi konteks pembelajaran yang lebih beragam, termasuk integrasi nilai budaya lokal yang relevan dengan karakter siswa.

Author Biographies

Putu Putri Cahya Widyarani, Universitas Pendidikan Ganesha

merupakan mahasiswa program studi Pendidikan Matematika Universitas Pendidikan Ganesha.  Penulis dapat dihubungi melalui email: putri.cahya@student.undiksha.ac.id

I Made Ardana, Universitas Pendidikan Ganesha

merupakan dosen pada Program Studi Pendidikan Matematika di Universitas Pendidikan Ganesha. Penulis dapat dihubungi melalui email: ardanaimade@undiksha.ac.id

I Gusti Putu Suharta, Universitas Pendidikan Ganesha

merupakan dosen pada Program Studi Pendidikan Matematika di Universitas Pendidikan Ganesha. Penulis dapat dihubungi melalui email: putu.suharta@undiksha.ac.id

References

Adelia, V., Putri, R. I. I., Zulkardi, Z., & Mulyono, B. (2022). Learning trajectory for equivalent fraction learning: An insight. Journal of Honai Math, 5(1), 47-60. https://doi.org/10.30862/jhm.v5i1.233

Andriani, W., & Abadi, A. M. (2026). Pengaruh pendekatan pendidikan matematika realistik indonesia terhadap kemampuan pemecahan masalah matematis dan motivasi belajar peserta didik. Jurnal Pendidikan Matematika dan Sains, 14(2), 564-573. https://doi.org/10.21831/jpms.v14i2.95852

Annajmi, A., Kuswandi, D., Setyosari, P., & Praherdhiono, H. (2026). Integrating multiple representations and local cultural contexts into problem-based learning within a flipped classroom: A new framework for mathematics education. Social Sciences & Humanities Open, 13, 1-15. https://doi.org/10.1016/j.ssaho.2026.102797

Antara, I. K. A., Setiawati, N. K., AK, K. P. D., & Agung, A. A. G. (2025). Jalan menuju harmoni: Mengembangkan jiwa berkarakter melalui implementasi tri hita karana (THK) di sekolah dasar berbasis kearifan lokal. Jurnal Administrasi Pendidikan Indonesia, 16(2), 200-209. https://doi.org/10.23887/jurnal_ap.v16i2.6260

Ardana, I., Ariawan, I., & Sugiharni, G. A. D. (2021). The expansion of sociocultural theory-oriented mathematical learning model. Cypriot Journal of Educational Sciences, 16(6), 3016-3032. https://doi.org/10.18844/cjes.v16i6.6493

Cahyady, F. A., Astawa, I. W. P., & Suarsana, I. M. (2020). Pengembangan media pembelajaran pecahan dengan pendekatan saintifik untuk mendukung upaya meningkatkan pemahaman konsep pecahan siswa kelas VII. Jurnal Pendidikan Matematika Undiksha, 11(2), 6-14. https://doi.org/10.23887/jjpm.v11i2.27663

Clements, D. H. & Sarama, J. (2025). Systematic review of learning trajectories in early mathematics. ZDM Mathematics Education, 57(4), 637–650. https://doi.org/10.1007/s11858-024-01644-1

Fadilah, E. R., Nugraha. A., & Marissa, E. I. (2024). Learning trajectory of arithmetic sequences and series with a PMRI approach using the context of yogyakarta's kawung batik fabric. Journal of Society and Development, 4(2), 12-18. https://doi.org/10.57032/jsd.v4i2.292

Febriani, R., Susanti, E., & Hapizah, H. (2023). Learning trajectory in the material of comparing and ordering fractions using paper folding for elementary school students. Al-Jabar: Jurnal Pendidikan Matematika, 14(2), 353-370. https://doi.org/10.24042/ajpm.v14i2.18046

Febriani, W. D., & Sidik, G. S. (2020). The effect of realistic mathematics education (RME) on the understand mathematical concepts skills of elementary students using hypothetical learning trajectory (HLT). PrimaryEdu: Journal of Primary Education, 4(1), 89-99. https://doi.org/10.22460/pej.v4i1.1509

Harahap, Z. T. M. M., Atun, S., & Sitorus, H. F. (2026). Pengaruh inkuiri terbimbing berbasis kearifan lokal yogyakarta terhadap pemahaman konsep dan sikap ilmiah siswa. Jurnal Pendidikan Matematika dan Sains, 14(2), 520-530. https://doi.org/10.21831/jpms.v14i2.92062

Hariyani, M., Herman, T., Suryadi, D., & Prabawanto, S. (2022). Mengembangkan desain didaktis berdasarkan hambatan belajar dan learning trajectory siswa pada konsep dasar pecahan di sekolah dasar. DWIJA CENDEKIA: Jurnal Riset Pedagogik, 6(2), 416-425. https://doi.org/10.20961/jdc.v6i2.63429

Hartawan, I. G. N. Y., Suharta, I. G. P., Sudiarta, I. G. P., & Pujawan, I. G. N. (2024). Student problem solving ability in mathematics learning: Systematic literature review. International Journal of Religion, 5(11), 3030-3037. https://doi.org/10.61707/sm1dtc57

Hesti, N., Anggraini, R. S., & Ningsih, F. (2025). Desain alur belajar materi pecahan terintegrasi nilai keislaman dengan pendekatan realistic mathematics education (RME). EQUATION: Teori dan Penelitian Pendidikan Matematika, 8(1), 2614-3933. https://doi.org/10.29300/equation.v8i1.8590

Isnawan, M. G., Suryadi, D., & Turmudi, T. (2022). Strategies to minimize students’ learning obstacle in fractions: A grounded theory. Jurnal Pendidikan MIPA, 23(1), 87-99. https://doi.org/10.23960/jpmipa/v23i1.pp87-99

Ivania, V., Rohmah, D. P. K., & Zuliana, E. (2024). Pembelajaran pecahan melalui pendekatan PMRI berbantuan media bambu. Cartesian: Jurnal Pendidikan Matematika, 3(02), 35-43. https://doi.org/10.33752/cartesian.v3i02.5707

Martin, K., & Hunt, J. H. (2022). Learning trajectory based fraction intervention: Building a mathematics education evidence base. Investigations in Mathematics Learning, 14(3), 235-249. https://doi.org/10.1080/19477503.2022.2105028

Mujtahid, M., Assidiqi, A. H., & Dini, S. (2025). Implementasi pembelajaran mendalam (deep learning) di sekolah dasar sebagai penguatan kurikulum merdeka. Jurnal Ilmu Pendidikan Guru Sekolah Dasar dan Usia Dini, 2(2), 31-37. https://doi.org/10.70134/pedasud.v2i2.711

Netofa, N. P. D. Z., & Japa, I. G. N. (2022). E-Modul pembelajaran pecahan di kelas IV sekolah dasar. MIMBAR PGSD Undiksha, 10(3), 576–584. https://doi.org/10.23887/jjpgsd.v10i3.49531

Nisa, A. F., Danawan, A., & Wijaya, A. F. C. (2020). Desain didaktis pembelajaran hukum archimedes dan viskositas berdasarkan hambatan belajar siswa SMA kelas X. Jurnal Pendidikan Matematikadan Sains, 8(2), 120-124. https://doi.org/10.21831/jpms.v8i2.23194

Pertiwi, K. R., Zulkardi, Z., & Darmawijoyo, D. (2017). Pembelajaran pecahan dengan menggunakan manik susun. JRPM (Jurnal Review Pembelajaran Matematika), 2(2), 153-166. https://doi.org/10.15642/jrpm.2017.2.2.153-166

Popay, J., Roberts, H., Sowden, A., Petticrew, M., Arai, L., Rodgers, M., Britten, N., Roen, K., & Duffy, S. (2006). Guidance on the conduct of narrative synthesis in systematic reviews. Lancaster University.

Pratama, F. I., Rohaeti, E., & Laksono, E. W. (2024). Empirical foundations for developing new learning models to improve chemical literacy, scientific habits of mind, and science process skills of chemistry education students. Jurnal Penelitian Pendidikan IPA, 10(10), 8062–8069. https://doi.org/10.29303/jppipa.v10i10.8661

Putri, H. A., Ma’wa, M. K., Prismayadi, A. V., & Mariana, N. (2022). Implementasi pembelajaran RME berbasis etnomatematika materi pecahan menggunakan konteks kue spiku. Jurnal Review Pendidikan Dasar: Jurnal Kajian Pendidikan Dan Hasil Penelitian, 8(2), 133-146. https://doi.org/10.26740/jrpd.v8n2.p133-146

Putri, R. I. I., & Zulkardi. (2017). Fraction in shot-put: A learning trajectory. AIP Conference Proceedings, 1868(1), 050005. https://doi.org/10.1063/1.4995132

Putri, R. I. I., & Zulkardi. (2018). Learning fraction through the context of Asian Games 2018. Journal of Physics: Conference Series, 1088(1), 012023. https://doi.org/10.1088/1742-6596/1088/1/012023

Qetrani, S., & Achtaich, N. (2022). Evaluation of procedural and conceptual knowledge of mathematical functions: A case study from Morocco. Journal on Mathematics Education, 13(2), 211–238. https://doi.org/10.22342/jme.v13i2.pp211-238

Ramadhan, M. H., Zulkardi, Z., & Putri, R. I. I. (2022). Designing learning trajectory for teaching fractions using PMRI approach with a chessboard context. SJME Supremum Journal of Mathematics Education, 6(2), 162-170. https://doi.org/10.35706/sjme.v6i2.5866

Rizal, M., Siswono, T. Y. E., & Bitara, T. (2023). Students’ learning trajectory in solving fraction problems: Cases of boy and girl students in junior high school. Studies in Learning and Teaching, 4(1), 157-169. https://doi.org/10.46627/silet.v4i1.212

Rosikhoh, D., Abdussakir, A., Ali, F., & Mukmin, M. I. (2022). Designing learning trajectory based on Qur’an and Hadith: A case of fractions at Madrasah Ibtidaiyah. International Journal of Trends in Mathematics Education Research, 5(3), 291-298. https://doi.org/10.33122/ijtmer.v5i3.12

Rosmayasari, R., Suryadi, D., Herman, T., Prabawanto, S., & Lam, T. T. (2023). Students' hypothetical learning trajectory (HLT) in learning fraction division calculation operations. Dinamika Jurnal Ilmiah Pendidikan Dasar, 14(2), 158-166. https://doi.org/10.30595/dinamika.v14i2.16819

Schadl, C., & Ufer, S. (2025). Who struggles with which demand? using level models to understand interindividual differences in and relations between facets of fraction knowledge. International Journal of Science and Mathematics Education, 23(7), 2545-2572. https://doi.org/10.1007/s10763-025-10569-4

Siegler, R. S., & Pyke, A. A. (2013). Developmental and individual differences in understanding of fractions. Developmental Psychology, 49(10), 1994-2004. https://doi.org/10.1037/a0031200

Suarsana, I., Widiasih, N. P. S., & Suparta, I. N. (2018). The effect of brainbased learning on second grade junior students' mathematics conceptual understanding on polyhedron. Journal on Mathematics Education, 9(1), 145-156. https://doi.org/10.22342/jme.9.1.4128.145-156

Sucipto, S., Sukri, M., Patras, Y. E., & Novita, L. (2024). Tantangan implementasi kurikulum merdeka di sekolah dasar: Systematic literature review. Kalam Cendekia: Jurnal Ilmiah Kependidikan, 12(1), 278-287. https://doi.org/10.20961/jkc.v12i1.84353

Suharta, I. G. P., Parwati, N. N., & Pujawan, I. G. N. (2021). Integration of ethnomathematics in learning geometry transformation. In Proceedings of the 5th Asian Education Symposium 2020 (AES 2020) (Vol. 556, pp. 107-110). Atlantis Press. https://doi.org/10.2991/assehr.k.210715.022

Syifaurrahmadania, S., Kamid, K., & Sainuddin, S. (2025). Mapping research rends on learning trajectory in mathematics education: A systematic literature review and bibliometric analysis. Journal of General Education and Humanities, 4(4), 1877-1892. https://doi.org/10.58421/gehu.v4i4.771

Trionanda, S., & Julie, H. (2021). Designing learning trajectory on the topic of simplifying fractions using realistic mathematics education with flipped classroom strategy. In Proceedings of the Eighth Southeast Asia Design Research (SEA-DR) & the Second Science, Technology, Education, Arts, Culture, and Humanity (STEACH) International Conference (SEADR-STEACH 2021) (pp. 322–329). Atlantis Press. https://doi.org/10.2991/assehr.k.211229.050

Wahyuni, I. M., Mardiyana, M., Nursatin, Y. B., & Nurhasanah, F. (2025). Learning trajectory in mathematics education for geometry topic. Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika, 11(1), 147-159. https://doi.org/10.29407/jmen.v11i1.24268

Wangi, N. N. S., Japa, I. G. N., & Renda, N. T. (2021). Mengenal pecahan dengan modul matematika. Journal for Lesson and Learning Studies, 4(2), 246-254. https://doi.org/10.23887/jlls.v4i2.38327

Warsito, W., Nuraini, Y., Sukirwan, S., & Muhtadi, D. (2019). The design learning of fraction with realistic mathematics education in elementary school. Journal of Physics: Conference Series, 1188(1), 012110. https://doi.org/10.1088/1742-6596/1188/1/012110

Widianti, H. D., & Amir, M. F. (2025). Hypothetical learning trajectory in the material of ordering fractions. Pendas: Jurnal Ilmiah Pendidikan Dasar, 10(04), 301-315. https://doi.org/10.23969/jp.v10i04.40183

Wijaya, A. (2017). The difficulties of Indonesian fourth graders in learning fractions: An early exploration of TIMSS 2015 results. AIP Conference Proceedings, 1868(1), 050027. https://doi.org/10.1063/1.4995154

Wilkins, J. L., & Norton, A. (2018). Learning progression toward a measurement concept of fractions. International Journal of STEM Education, 5(27), 1-11. https://doi.org/10.1186/s40594-018-0119-2

Winje, O., & Londal, K. (2020). Bringing deep learning to the surface: A systematic mapping review of 48 years of research in primary and secondary education. Nordic Journal of Comparative and International Education, 4(2), 25–41. https://doi.org/10.7577/njcie.3798

Wulandari, N. D. T. U., Waluyo, D., & Suarsana, I. M. (2018). Penerapan metode pembelajaran improve untuk meningkatkan aktivitas dan prestasi belajar matematika siswa kelas VII-3 SMP Laboratorium Undiksha Singaraja. Jurnal Pendidikan dan Pembelajaran Matematika Indonesia, 7(1), 68-78. https://doi.org/10.23887/jppm.v7i1.2819

Yuniarini, P. D., Agung, A. A. G., Ariawan, I. P. W., & Sulindawati, N. L. G. E. (2025). Self-regulation and motivation teacher in non-formal education: A systematic literature review. Edelweiss Applied Science and Technology, 9(4), 3035-3049. https://doi.org/10.55214/25768484.v9i4.6722

Downloads

Published

2026-07-31

How to Cite

Widyarani, P. P. C., Ardana, I. M., & Suharta, I. G. P. (2026). Learning Trajectory dalam Pembelajaran Pecahan di Sekolah Dasar: Sebuah Systematic Literature Review. Jurnal Pendidikan Matematika Dan Sains, 14(2), 610–620. https://doi.org/10.21831/jpms.v14i2.99773

Citation Check