Practicality of Hypothetical Learning Trajectory on Straight-Line Equations Concept
DOI:
https://doi.org/10.31980/mosharafa.v13i4.2545Keywords:
Al-Qur'an, HLT, Islamic Values, Straight-Line Equation, Practicality, Nilai Keislaman, Persamaan Garis Lurus, PraktikalitasAbstract
Abstrak
Pembelajaran matematika masih belum sepenuhnya terintegrasi dengan Nilai-Nilai Keislaman. Padahal Matematika dan Islam memliki keterkaitan yang erat, sebagaimana terdapat dalam ayat-ayat Al-Qur’an. Penelitian ini bertujuan untuk menganalisis praktikalitas Hipotetical Learning Trajectory (HLT) berbasis Ayat-Ayat Al-Qur’an pada pembelajaran konsep persamaan garis lurus. Penelitian ini menggunakan metode desain research yang terdiri dari tiga tahap: desain pendahuluan, percobaan desain, dan analisis retrospektif. Partisipan penelitian adalah 18 mahasiswa semester kedua Jurusan Tadris Matematika IAIN Kerinci. Instrumen penelitian meliputi angket, observasi, dan wawancara, yang telah divalidasi untuk memastikan kelayakannya dalam penelitian ini. Analisis data dilakukan dengan pendekatan kualitatif dan kuantitatif. Hasil penelitian menunjukkan bahwa desain HLT berbasis Ayat-Ayat Al-Qur’an dinyatakan praktis dengan skor 81% dengan kategori sangat praktis. Hal ini menunjukkan bahwa integrasi Nilai-Nilai Keislam dalam pembelajaran matematika dapat meningkatkan pemahaman mahasiswa serta mendukung pengembangan model pembelajaran yang kontekstual.
Abstract
Mathematics learning is still not fully integrated with Islamic values. However, mathematics and Islam are inherently connected, as in Al-Qur'an verses. This research aims to analyze the practicality of Hypothetical Learning Trajectory (HLT) based on Al-Qur'an verses in teaching the concept of straight-line equations. This study is a design research type consisting of three stages: preliminary design, design experiment, and retrospective analysis. The research participants were 18 second-semester students of the Mathematics Education at IAIN Kerinci. Research instruments included questionnaires, observations, and interviews, which were validated to ensure their feasibility for this study. Data analysis combined qualitative and quantitative approaches. Results show that the HLT design based on Al-Qur'an verses on the concept of straight-line equations was declared practical by students at 81% in the very practical category. This implies that integrating Islamic values in mathematics learning can enhance students' understanding and support the development of contextually relevant learning models.
References
Adhli, A. (2021). Ilmu Pengetahuan dan Teknologo Perkapalan Pada Kisah Nabi Nuh menurut Perspektif Alquran dan Hadis. Al-Mu’tabar, 1(2), 24–37. https://doi.org/10.56874/jurnal%20ilmu%20hadis.v1i2.607
Afriansyah, E. A., & Arwadi, F. (2021). Learning Trajectory of Quadrilateral Applying Realistic Mathematics Education: Origami-Based Tasks. Mathematics Teaching Research Journal, 13(4), 42-78.
Al Ayyubi, I. I., Prayetno, E., Jamaliah, D., & Mumtazah, N. (2024). Equilibrium of Faith and Logic: Integrating Islamic Moral Values and Mathematics Education in Various Contexts. IJEMR: International Journal of Education Management and Religion, 1(2), 127-144.
Amadeo, M. (2018). Textbooks Revealing the Development of a Concept—the Case of the Number Line in the Analytic geometry (1708–1829). ZDM, 50(5), 907-920.
https://doi.org/10.1007/s11858-018-0968-7
Azzuhro, M., & Salminawati, S. (2023). Integration of Mathematics Learning with Islamic Values in Elementary Schools. Scaffolding: Jurnal Pendidikan Islam Dan Multikulturalisme, 5(2), 397-413. https://doi.org/10.37680/scaffolding.v5i2.3000
Fitrah, M., & Kusnadi, D. (2022). Integrasi Nilai-Nilai Islam dalam Membelajarkan Matematika Sebagai Bentuk Penguatan Karakter Peserta Didik. Jurnal Eduscience, 9(1), 152-167. https://doi.org/10.36987/jes.v9i1.2550
Fitriyani, D., & Kania, N. (2019, October). Integrasi Nilai-Nilai Keislaman dalam Pembelajaran Matematika. In Prosiding Seminar Nasional Pendidikan, 1, 346-352.
Harel, G. (2014). Common Core State Standards for Geometry: An Alternative Approach. Notices of the AMS, 61(1), 24-35. http://dx.doi.org/10.1090/noti1070
Imamuddin, M., & Isnaniah, I. (2024). Integration of Islam and Mathematics: Religious and Mathematics Education In Grand Mosque of West Sumatra. Al-Ishlah: Jurnal Pendidikan, 16(2), 640-650. https://doi.org/10.35445/alishlah.v16i2.4724
Juliani, V., Sanjaya, M. T. T., & Pratini, H. S. (2023). Preliminary Research Pada Perancangan Hypothetical Learning Trajectory Untuk Materi Himpunan Berbasis Problem Based Learning Bagi Siswa SMP. In Seminar Nasional Matematika dan Pendidikan Matematika, 411.
Jumbantoruan, J. H. (2020). Modul Garis Lurus. Retrieved from
Maričić, S. M., & Stamatović, J. D. (2018). The Effect of Preschool Mathematics Education in Development of Geometry Concepts in Children. Eurasia Journal of Mathematics, Science and Technology Education, 13(9), 6175–6187.
https://doi.org/10.12973/EURASIA.2017.01057A
Musthofa, M. W. (2024). Building an Applicative Model of Integration-Interconnection of Mathematics and Islamic Sciences. JRPM (Jurnal Review Pembelajaran Matematika), 9(1), 33-51. https://doi.org/10.15642/jrpm.2024.9.1.33-51
Mutaqin, E. J., Herman, T., Wahyudin, & Muslihah, N. N. (2023). Hypothetical learning trajectory in place value concepts in elementary school. Mosharafa: Jurnal Pendidikan Matematika, 12(1), 125-134. https://doi.org/10.31980/mosharafa.v12i1.761
Nasution, A. F. (2017). Implementasi Konsep Matematika Dalam Al-Qur’an Pada Kurikulum Madrasah. EduTech: Jurnal Ilmu Pendidikan Dan Ilmu Sosial, 3(1). https://doi.org/10.30596/edutech.v3i1.983
Nasution, E. Y. P., & Yulia, P. (2024). Praktikalitas Bahan Ajar Geometri Berbasis Modifikasi Model Project Based Learning (PjBL) “Kapal Nabi Nuh” untuk Mengembangkan Kemampuan Berpikir Kreatif Mahasiswa. ARITHMETIC: Academic Journal of Math, 6(1), 101-118. https://doi.org/10.29240/ja.v6i1.9868
Nasution, E. Y. P., Yulia, P., Anggraini, R. S., Putri, R., & Sari, M. (2021, February). Correlation Between Mathematical Creative Thinking Ability and Mathematical Creative Thinking Disposition in Geometry. In Journal of Physics: Conference Series, 1778(1), 012001. IOP Publishing. https://doi.org/10.1088/1742-6596/1778/1/012001
Noperta, N. (2024). Analisis Konsep Matematika Dalam Al-Quran. Jurnal Equation: Teori Dan Penelitian Pendidikan Matematika, 6(1), 1-12. http://dx.doi.org/10.29300/equation.v6i1.3482
Pereira, J., Wijaya, T. T., Zhou, Y., & Purnama, A. (2021, May). Learning Points, Lines, and Plane Geometry with Hawgent Dynamic Mathematics Software. In Journal of Physics: Conference Series, 1882(1), 012057. IOP Publishing.
https://doi.org/10.1088/1742-6596/1882/1/012057
Prahmana, R. C. I. (2017). Design Research:(Teori dan Implementasinya: Suatu Pengantar). Depok: Rajawali Pers
Prastiwi, A. A. (2022). Learning Obstacles Materi Hubungan Antar Garis pada Pembelajaran Matematika Kelas IV Sekolah Dasar. Jurnal Elementary: Kajian Teori dan Hasil Penelitian Pendidikan Sekolah Dasar, 5(2), 144-152. https://doi.org/10.31764/elementary.v1i2.549
Putri, R. I. I., & Aisyah, N. (2020). Learning Integers with Realistic Mathematics Education Approach Based on Islamic Values. Journal on Mathematics Education, 11(3), 363-384. http://doi.org/10.22342/jme.11.3.11721.363-384
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.
http://dx.doi.org/10.29303/mandalika.v2i1.1780
Rezky, R. (2019). Hypothetical Learning Trajectory (HLT) dalam Perspektif Psikologi Belajar Matematika. Ekspose: Jurnal Penelitian Hukum Dan Pendidikan, 18(1), 762–769. https://doi.org/10.30863/ekspose.v18i1.364
Riduwan. (2009). Belajar Mudah Penelitian untuk Guru, Karyawan dan Peneliti Pemula. Bandung: Alfabeta.
Sari, D. L., Fitriani, D. A., Khaeriyah, D. Z., Hartono, & Nursyahidah, F. (2022). Hypothetical learning trajectory pada materi peluang: konteks mainan tradisional ular naga. Mosharafa: Jurnal Pendidikan Matematika, 11(2), 203-214. https://doi.org/10.31980/mosharafa.v11i2.699
Shi, X., & Lu, H. (2022). Exploration of Ideology and Politics Education in Analytical Geometry Under Blending Teaching. Journal of Education and Practice, 13(21), 154–159. https://doi.org/10.7176/jep/13-21-15
Steward, D. R., Le Grand, P., Janković, I., & Strack, O. D. L. (2008). Analytic Formulation of Cauchy Integrals for Boundaries with Curvilinear Geometry. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 464(2089), 223–248. https://doi.org/10.1098/rspa.2007.0138
Sukirwan, S., Fitri, P. R., Warsito, W., & ... (2022). Pembelajaran Himpunan Melalui Perancangan Hypothetical Learning Trajectory Menggunakan Pendekatan Matematika Realistik. Journal of Authentic Research on Mathematics Education (JARME), 4(1), 79–97. https://doi.org/10.37058/jarme.v4i1.3675
Wike, A. (2024). Pengaruh Model Pembelajaran Hypotetical Learning Trajectory (HLT) dan Disposisi Matematis Terhadap Kemampuan Pemecahan Masalah Matematis Peserta Didik. Doctoral dissertation: UIN Raden Intan Lampung.
Yulia, P., & Nasution, E. Y. P. (2024). Efektifitas Bahan Ajar Geometri Berbasis Modifikasi Model Project Based Learning Terhadap Kemampuan Berfikir Kreatif Matematis. PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika, 13(2). https://doi.org/10.33373/pyth.v13i2.6686
Yulia, P., & Nasution, E. Y. P. (2024). Geometry and Islamic Values: Validity of Teaching Materials Based on Modified Project-Based Learning Model. Mosharafa: Jurnal Pendidikan Matematika, 13(1), 113–124. https://doi.org/10.31980/mosharafa.v13i1.1980
Yusnimar, Y. (2022). Desain Didaktis Pada Pelajaran al-Qur’an Hadist berdasarkan Analisis Hypothetical Learning Trajectory (HTL) terhadap Learning Obstacle Siswa Kelas XI. Milenial: Journal for Teachers and Learning, 2(2), 69-72.
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