DOI of the published article https://doi.org/10.23969/jp.v10i04.40183
Hypothetical Learning Trajectory in the Material of Ordering Fractions
Lintasan Pembelajaran Hipotesis untuk Mengurutkan Pecahan
DOI:
https://doi.org/10.21070/ups.10071Keywords:
Hypothetical Learning Trajectory, Fraction Ordering, MathAbstract
Ordering fractions is a challenging subject for elementary school students because most individuals do not yet understand the relationship between the numerator and denominator in fractions. The purpose of this study was to test and develop a Hypothetical Learning Trajectory (HLT) for fourth-grade elementary school students so they can understand the order of fractions through a progressive task of fraction problems and real-world applications. This study used a qualitative design-based research approach. Data were collected through observations, worksheets, and recording the learning process. The results showed that HLT improved students' understanding, demonstrating the ability to identify equivalent fractions, equate denominators, and use least common ratios
Downloads
References
N. A. Rahma, S. A. Aunilla, and Kowiyah, “Analisis Kesulitan Siswa Kelas 4 Dalam Memahami Konsep Pecahan Dan Implikasinya Terhadap Pembelajaran Matematika,” Adiba: Journal of Education, 2025.
A. Maghfiroh, R. Rizky, and E. Zuliana, “Implementasi Pmri Berbantuan Media Puzzle Pizza Dalam Pembelajaran Pecahan Di Sd 2 Megawon,” Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), vol. 8, no. 3, pp. 302–309, Dec. 2024, doi: 10.33369/jp2ms.8.3.302-309.
D. P. K. Rohmah, Vika Ivania, and Eka Zuliana, “Pembelajaran Pecahan Melalui Pendekatan PMRI Berbantuan Media Bambu,” Cartesian: Jurnal Pendidikan Matematika, vol. 3, no. 02, pp. 35–43, Apr. 2024, doi: 10.33752/cartesian.v3i02.5707.
B. Ritawati, S. Liliana, and N. Tupulu, Materi Pecahan. Jakarta: Penerbit NEM, 2024.
R. Febriani and E. Susanti, “Learning trajectory in the material of comparing and ordering fractions using paper folding for elementary school students,” 2023. [Online]. Available: http://ejournal.radenintan.ac.id/index.php/al-jabar/index
N. A. Rahma, S. A. Aunilla, and K. Kowiyah, “Analisis Kesulitan Siswa Kelas 4 dalam Memahami Konsep Pecahan dan Implikasinya terhadap Pembelajaran Matematika,” Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika, vol. 2, no. 6, pp. 331–340, Nov. 2024, doi: 10.61132/arjuna.v2i6.1356.
F. Amanda, S. Nisa, and A. Suriani, “Analisis Kesulitan Dalam Pembelajaran Matematika Pada Siswa Sekolah Dasar Ditinjau Dari Berbagai Faktor,” Dewantara : Jurnal Pendidikan Sosial Humaniora, vol. 3, no. 2, pp. 282–293, May 2024, doi: 10.30640/dewantara.v3i2.2652.
A. Dahlia, O. Haki Pranata, and Y. Suryana, “Pengaruh Interactive Learning terhadap Minat Belajar Siswa pada Penjumlahan Operasi Hitung Bilangan Bulat,” 2020. [Online]. Available: http://ejournal.upi.edu/index.php/pedadidaktika/index
N. Sari, A. Amir, P. Edukasi, and L. Numerasi, “Pengabdian Masyarakat dalam Pemanfaatan Game Edukasi Interaktif untuk Meningkatkan Pemahaman Numerasi Siswa di SD Inpres Morowa Kata kunci,” 2025. [Online]. Available: www.kahoot.com.
S. Lerman, Encyclopedia of Mathematics Education. Switerland: Springer Cham, 2020.
F. I. S. Sinaga, “Hypothetical Learning Trajectory Based On Ethnomathematics,” NUSRA: Jurnal Penelitian dan Ilmu Pendidikan, vol. 5, no. 1, pp. 333–341, Feb. 2024, doi: 10.55681/nusra.v5i1.2230.
A. Pramesti, F. Nabilla, M. Putri, A. B. Prastiwi, and M. Zamzuri, “Penerapan Problem Baseed Learning dengan Media Papan Pecahan dalam Meningkatkan Hasil Pembelajaran Matematika Kelas IV SD,” 2019.
M. Albert, J. Liando, J. Pendidikan Guru, S. Dasar, and I. Pendidikan, “Peningkatan Hasil Belajar Matematika Pada Materi Pecahan Dengan Menggunakan Pendekatan Pendidikan Matematika Realistik (Pmr) Pada Siswa Kelas Iv Sd Gmim Malola,” 2022.
L. A. Riswari, S. Munnah, and S. A. P. Nuha, “Analisis Kreativitas Siswa dalam Pemecahan Masalah Matematis Pada Materi Pecahan di Kelas IV SD Negeri Kadilangu 1,” Jurnal Lensa Pendas, vol. 8, no. 2, pp. 161–170, Sep. 2023, doi: 10.33222/jlp.v8i2.3117.
V. B. Kusuma, C. K. Galatea, and Fatqurhohman, “Analisis Kesalahan Siswa Sd Dalam Memecahkan Masalah Pecahan,” 2022.
C. N. Lantakay, P. Pasu Senid, I. K. S Blegur, and D. D. Samo, “Griya Journal of Mathematics Education and Application Hypothetical Learning Trajectory: Bagaimana Perannya dalam Pembelajaran Matematika di Sekolah Dasar?,” Journal of Mathematics Education and Application, vol. 3, no. 2, 2023, [Online]. Available: https://mathjournal.unram.ac.id/index.php/Griya/indexGriya
M. H. Hajriyanto, M. N. Prabawati, and N. Ratnaningsih, “Hypothetical Learning Trajectory (HLT) terhadap Kemampuan Literasi Numerasi pada Materi Lingkaran,” PTK: Jurnal Tindakan Kelas, vol. 4, no. 2, pp. 461–474, May 2024, doi: 10.53624/ptk.v4i2.400.
M. R. Mahmud, T. Turmudi, and W. Sopandi, “Preliminary Design of Learning the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) Using the RADEC Learning Model,” Mimbar Sekolah Dasar, vol. 11, no. 2, pp. 441–454, Jun. 2024, doi: 10.53400/mimbar-sd.v11i2.71837.
R. Febriani and E. Susanti, “Learning trajectory in the material of comparing and ordering fractions using paper folding for elementary school students,” 2023. [Online]. Available: http://ejournal.radenintan.ac.id/index.php/al-jabar/index
L. Nurafifah, M. Taufan, and Sudirman, “Learning trajectory: Bagaimanakah Mengajarkan Pecahan Menggunakan Konteks Makanan Tradisional?,” Gema Wiralodra, vol. 12, no. 2, 2021.
M. R. Fadli, “Memahami desain metode penelitian kualitatif,” Jurnal Humanika, vol. 21, no. 1, pp. 33–54, 2021, doi: 10.21831/hum.v21i1.
M. Doorman, A. Bakker, P. Drijvers, and A. Wijaya, “Design-Based Research In Mathematics Education 1,” 2016.
V. V. Abrika and N. Mariana, “Hyphothetical Learning Trajectory (HLT) Materi Pecahan dengan Pendekatan Rme Berbasis Etnomatematika dengan Konteks Makanan Kripik Apel,” Jurnal Pendidikan Dasar, vol. VI, no. 1, 2023.
I. F. N. D. Primasari, Z. Zulela, and F. Fahrurrozi, “Model Mathematics Realistic Education (Rme) Pada Materi Pecahan Di Sekolah Dasar,” Jurnal Basicedu, vol. 5, no. 4, pp. 1888–1899, Jun. 2021, doi: 10.31004/basicedu.v5i4.1115.
S. Hanipah, U. Sindang, and K. Majalengka, “Learning Trajectory Peserta Didik Pada Materi Kubus Ditinjau Dari Kemampuan Matematis Dan Gaya Belajar,” Jurnal Jendela Pendidikan, vol. 5, 2025.
Downloads
Additional Files
Posted
License
Copyright (c) 2026 UMSIDA Preprints Server
This work is licensed under a Creative Commons Attribution 4.0 International License.
