Uji Coba E-LKPD Garis Singgung Persekutuan Luar pada Siswa dan Guru SMA IT Iqra’ Kota Bengkulu
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Abstract
The government through the Ministry of Primary and Secondary Education (Kemendikdasmen) established the 2013 Curriculum (K-13) and the Independent Curriculum with the addition of deep learning methods starting from the 2025/2026 academic year. This policy encouraged schools to integrate technology into learning. Based on this, SMA IT IQRA’ Bengkulu City was selected as the site for implementing a Student Worksheet (LKPD) based on the APOS model assisted by GeoGebra on the topic of common external tangents. This selection was in line with the school’s mission to improve the quality of learning in order to achieve achievements at the local, national, and international levels. The training was conducted on May 23, 2025, in the computer laboratory involving 18 grade XI students and 6 mathematics teachers. The methods included an explanation of the APOS model, practice in using GeoGebra, distribution of digital worksheets, independent completion of worksheets, student presentations, and completion of response questionnaires. Teachers also received an additional teaching module to be further developed independently. The evaluation results showed that the students’ average response score was 4.08, categorized as very good. Students found it easier to understand concepts through GeoGebra visualization, were enthusiastic about completing the worksheets, and were able to present their work well. Teachers gained new insights into integrating technology into learning. The main obstacles were limited devices and initial experience in operating GeoGebra. Overall, the training was effective in improving students’ conceptual understanding, technical skills, and learning motivation. Further research was recommended to expand the development of APOS-based worksheets in other mathematics topics, involve more schools, and assess their impact on academic achievement longitudinally.
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References
Apriliana, D., & Suryaningsih, Y. (2024). Pengembangan E-LKPD Berbasis Hots Pada Materi Persamaan Dan Pertidaksamaan Linear Satu Variabel. In Jurnal Mahasiswa Pendidikan Matematika) (Vol. 4, Issue 3). http://jtam.ulm.ac.id/index.php/jurmadikta
Arnon, I., Cottrill, J., Dubinsky, E., Oktac, A., Fuentes, S. R., Trigueros, M., & Weller, K. (2014). APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education. Springer.
Cambridge Dictionary. (2025). Deep Learning. Cambridge University Press. https://dictionary.cambridge.org/us/dictionary/english/deep-learning
Dewey, J. (1997). How We Think. Mineola, NY: Dover Publications.
Dubinsky, E., & McDonald, M. A. (2001). APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research. In The Teaching and Learning of Mathematics at University Level (pp. 273–280). Springer.
Ennis, R. H. (2018). Critical Thinking Across the Curriculum: A Vision. Topoi, 37(1), 165–184. https://doi.org/10.1007/s11245-016-9401-4
Goodwin, J. R. (2024). What’s the Difference? A Comparison of Student-Centered Teaching Methods. Education Sciences, 14(7), 736. https://doi.org/10.3390/educsci14070736
Guruberdaya. (2024). Kurikulum untuk tahun ajaran 2025/2026. Guruberdaya. https://guruberdaya.org/kurikulum-untuk-tahun-ajaran-2025-2026/
Hanafiah, D. K., Puadi, E. F. W., & Heriyana, T. (2024). Pengembangan Lembar Kerja Pesera Didik (LKPD) Berbantuan Aplikasi Geogebra untuk Meningkatkan Pemahaman Konsep Pada Materi Matriks. Didactical Mathematics, 6(2), 260–270. https://doi.org/10.31949/dm.v6i2.10923
Hanifah. (2019). Buku Model APOS Pembelajaran Berbantuan Komputer. Bengkulu: CV Zigie Utama.
Hidayat, R., Noor, W. N. W. M., Nasir, N., & Ayub, A. F. M. (2024). The role of GeoGebra software in conceptual understanding and engagement among secondary school student. Infinity Journal, 13(2), 317–332. https://doi.org/10.22460/infinity.v13i2.p317-332
Mokotjo, L. G., & Mokhele, M. L. (2021). Challenges of Integrating GeoGebra in the Teaching of Mathematics in South African High Schools. Universal Journal of Educational Research, 9(5), 963–973. https://doi.org/10.13189/ujer.2021.090509
Muharrom, A., Kadarisma, G., Al Mukhtariyah Mande, M., Pesantren Mande, J., Bandung Barat, K., Barat, J., Siliwangi, I., & Terusan Jenderal Sudirman, J. (2022). Analisis Kesulitan Siswa Madrasah Tsanawiyah Dalam Menyelesaikan Soal Lingkaran. Maret, 5(2). https://doi.org/10.22460/jpmi.v5i2.463-470
Omarisa, V., Muchlis, E. E., Susanta, A., & Hanifah. (2025). Development of a mathematics teaching module based on the APOS model integrated with GeoGebra. Indonesian Journal of Educational Development (IJED), 6(2), 660–675. https://doi.org/10.59672/ijed.v6i2.5217
Putri, N. N. W. D., Astawa, I. W. P., & Ardana, I. M. (2021). Improving Students’ Conceptual Understanding Through Geogebra-Assisted “5E” Learning Cycle: Is It Effective? Jurnal Pendidikan Dan Pengajaran, 54(1), 170. https://doi.org/10.23887/jpp.v54i1.25219
Rosyidi, A. H., Sari, Y. M., Fardah, D. K., & Masriyah, M. (2024). Designing mathematics problem-solving assessment with GeoGebra Classroom: proving the instrument validity. Journal of Education and Learning (EduLearn), 18(3), 1030–1038. https://doi.org/10.11591/edulearn.v18i3.21191
Saidu, S., Rabiu, A. T., & Hamzat, B. K. (2024). Examining the challenges of integrating GeoGebra software in the teaching and learning of coordinate geometry in colleges of education in the North West Zone of Nigeria. FNAS Journal of Mathematics and Science Education, 6(1), 65–74. www.fnasjournals.com
Suratno, J., & Waliyanti, I. K. (2023). Integration of GeoGebra in Problem-Based Learning to Improve Students’ Problem-Solving Skills. International Journal of Research in Mathematics Education, 1(1), 63–75. https://doi.org/10.24090/ijrme.v1i1.8514
Surbakti, N. M., Dewi, S., Septiana, D., Farhana, N. A., & Perdana, A. (2023). Pemanfaatan Aplikasi Geogebra dalam Pembelajaran Matematika di Sekolah Menengah Kejuruan. Dst, 3(2), 204–210. https://doi.org/10.47709/dst.v3i2.3008
Theodorio, A. O., Waghid, Z., & Wambua, A. (2024). Technology integration in teacher education: challenges and adaptations in the post-pandemic era. Discover Education, 3(1), 242. https://doi.org/10.1007/s44217-024-00341-1
Unesa. (2023). Mengenal Konsep Pembelajaran Deep Learning. Universitas Negeri Surabaya. https://s2pendidikanbahasainggris.fbs.unesa.ac.id/post/mengenal-konsep-pembelajaran-deep-learning
Widyastiti, M., Yanti, Y., Sumarsa, A., & Durrotul Faizah, L. (2024). Utilization of Geogebra Application as Learning Media in Learning The Three-Dimensional to Increase Students’ Interest in Learning. Hipotenusa: Journal of Mathematical Society, 6(1), 1–11. https://doi.org/10.18326/hipotenusa.v6i1.815
Widyoko, E. P. (2009). Evaluasi Program Pembelajaran. Yogyakarta: Pustaka Pelajar.