The Effectiveness of an ICON-Based Worksheet to Support Students’ Conceptual Understanding of Matrix Material
DOI:
https://doi.org/10.31980/mosharafa.v14i4.3547Keywords:
interpretasi, keefektifan pembelajaran, konsep matriks, lembar kerja, pendidikan matematika, interpretation, learning effectiveness, matrix concepts, mathematics education, worksheetAbstract
Penelitian ini bertujuan untuk mengembangkan lembar kerja peserta didik (LKPD) berbasis ICON pada materi matriks serta mengkaji validitas, kepraktisan, dan efektivitasnya. ICON merujuk pada model desain Interpretation–Construction, yang menekankan proses peserta didik dalam menginterpretasikan permasalahan kontekstual dan mengonstruksi konsep matematika. Penelitian ini menggunakan model pengembangan Plomp yang meliputi tahap pendahuluan, perancangan, dan penilaian, dengan evaluasi formatif melalui validasi ahli, uji coba satu-satu, uji coba kelompok kecil, dan uji lapangan. Hasil penelitian menunjukkan bahwa LKPD mencapai tingkat cukup valid berdasarkan penilaian ahli terhadap aspek isi, konstruk, dan bahasa serta direvisi sesuai hasil validasi awal. LKPD juga menunjukkan kepraktisan karena mudah dipahami oleh peserta didik. Efektivitas ditunjukkan oleh 22 dari 34 peserta didik yang mencapai Kriteria Ketercapaian Tujuan Pembelajaran (KKTP). Temuan ini menunjukkan bahwa LKPD berbasis ICON layak digunakan dengan revisi untuk mendukung pemahaman konseptual peserta didik pada materi matriks.
This study aims to develop an ICON-based student worksheet (LKPD) on matrix material for high school students and to examine its validity, practicality, and effectiveness. ICON refers to the Interpretation–Construction design model, which emphasizes students’ processes of interpreting contextual problems and constructing mathematical concepts. The research employed the Plomp development model consisting of the preliminary, prototyping, and assessment phases, supported by formative evaluation through expert review, one-to-one trials, small-group trials, and field test. The results indicate that the LKPD achieved a fairly valid level based on expert evaluations of content, construct, and language and was revised accordingly. The worksheet also demonstrated practicality, as students found the instructions and activities easy to understand. Effectiveness was indicated by 22 out of 34 students achieving the Learning Objective Achievement Criteria (KKTP). These findings suggest that the ICON-based worksheet is feasible for use with revisions to support students’ conceptual understanding of matrix concepts.
References
Arifin, S., Zulkardi, Putri, R. I. I., Hartono, Y., & Susanti, E. (2020). Scaffolding in mathematical problem-solving. Journal of Physics: Conference Series, 1480(1), 1–8. https://doi.org/10.1088/1742-6596/1480/1/012054
Black, J. B., & McClintock, R. O. (1995). An Interpretation Construction Approach to Constructivist Design. Constructivist Learning Environments, 25–31.
Effendi, K. N. S., Zulkardi, Putri, R. I. I., & Yaniawati, P. (2019). Developing mathematics worksheet using futsal context for school literacy movement. Journal on Mathematics Education, 10(2), 203–214. https://doi.org/10.22342/jme.10.2.7307.203-214
Haezer, C. E., Rusmawati, R. D., & Harwanto. (2023). Pengembangan Media Pembelajaran Matematika Berbasis E-Lkpd Interaktif Menggunakan Software Liveworksheets Pada Materi Matriks Di Kelas XI SMAN 1 Purwosari. Media Bina Ilmiah, 18(5), 1237–1248. https://doi.org/10.33758/mbi.v18i5.534
Hasanudin, & Maryati, I. (2023). Kemampuan pemahaman konsep matematis peserta didik kelas v pada materi akar pangkat tiga. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 2(2), 193–204. https://doi.org/10.31980/pme.v2i2.1421
Ismail, R. N., Arnawa, I. M., & Yerizon, Y. (2020). Student worksheet usage effectiveness based on realistics mathematics educations toward mathematical communication ability of junior high school student. Journal of Physics: Conference Series, 1554(1). https://doi.org/10.1088/1742-6596/1554/1/012044
Kohar, A. W., Zulkardi, & Darmawijoyo. (2014). Developing Pisa-Like Mathematics Tasks To Promote Students’ Mathematical Literacy. Proceeding the 2nd SEA-DR, 978, 14–26.
Kosasih, U., Nurjanah, Saputra, S., & Mutmainnah, S. (2023). Pengembangan Lembar Kerja Peserta Didik Bernuansa Islami Terkait Kemampuan Koneksi Matematis. Plusminus: Jurnal Pendidikan Matematika, 3(3), 479–488. https://doi.org/10.31980/plusminus.v3i3.1510
Ningrum, D. P. N., Usodo, B., & Subanti, S. (2022). Students’ mathematical conceptual understanding: What happens to proficient students? International Conference of Mathematics and Mathematics Education (I-CMME), 2566(1), 020017.
Nufus, H., Muliana, M., & Fonna, M. (2023). Pengembangan Lembar Kerja Siswa (LKS) Berbasis Realistics Mathematics Education (RME) Pada Materi Matriks. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(3), 2764–2773. https://doi.org/10.24127/ajpm.v12i3.6519
Nuraeni, R., Afriansyah, E. A., Puspitasari, N., Sofyan, D., Hasanudin, H., Fikri, F., & Lestari, L. (2023). In-depth Training in Calculus Material for MA/Equivalent Teachers in the Madrasah Aliyah VI Garut Working Group. Indonesian Journal of Community Empowerment (IJCE), 4(01), 13-25.
Panekenan, C., Pulukadang, R. J., & Pesik, A. (2024). Penerapan model problem based learning dan model pembelajaran langsung pada pembelajaran matematika operasi matriks di SMK N 1 Touluaan. Soscied, 7(2), 665–672. https://doi.org/10.32531/jsoscied.v7i2.874
Pasani, C. F., & Kamaliyah, M. (2017). Developing Student Worksheet for Learning Matrix. Advances in Social Science, Education and Humanities Research, 100(1), 58–60. https://doi.org/10.2991/seadric-17.2017.13
Plomp, T. (2013). Educational Design Research (pp. 1–206).
Saepuloh, A. R., Luritawaty, I. P., & Afriansyah, E. A. (2024). Assessing Mathematical Understanding in Fourth-Grade Students: A Focus on Multiplication and Division Skills. Plusminus: Jurnal Pendidikan Matematika, 4(3), 409–422. https://doi.org/10.31980/plusminus.v4i3.2210
Sari, N., Prasetyawati, Y., Sukmaningthias, N., & Simarmata, R. H. (2023). Development of E-Worksheet Based on Realistic Mathematics Education to Support Mathematical Literacy Skills of Junior High School Students. E3S Web of Conferences, 400, 1–9. https://doi.org/10.1051/e3sconf/202340003006
Somakim, Zahwa, N., Nuraeni, Z., & Araiku, J. (2023). Development of Philosophy Based-Students Worksheet on the Matrix. Jurnal Pendidikan Matematika, 17(2), 149–166. https://doi.org/10.22342/jpm.17.2.19782.149-166
Sudirman, Son, A. L., Rosyadi, & Fitriani, R. N. (2020). Uncovering the Students ’ Mathematical Concept Understanding Ability: A Based Study o f Both Students ’ Cognitive Styles Dependent and Independent Field in Overcoming the Problem of 3D Geometry. Formatif: Jurnal Ilmiah Pendidikan MIPA, 10(1), 1–12. https://doi.org/10.30998/formatif.v10i1.3789
Üredi, P., & Doğanay, A. (2023). Developing the Skill of Associating Mathematics with Real Life Through Realistic Mathematics Education: An Action Research. Journal of Theoretical Educational Science, 16(2), 394–422. https://doi.org/10.30831/akukeg.1214339
Widyastuti, R., Suherman, Anggoro, B. S., Negara, H. S., Yuliani, M. D., & Utami, T. N. (2020). Understanding Mathematical Concept: The Effect Of Savi Learning Model With Probing-Prompting Techniques Viewed From Self-Concept. Young Scholar Symposium on Science Education and Environment 2019, 1–7. https://doi.org/10.1088/1742-6596/1467/1/012060
Zulkardi, Z., & Kohar, A. W. (2018). Designing PISA-Like Mathematics Tasks in Indonesia: Experiences and Challenges. Journal of Physics: Conference Series, 947(1), 0–7. https://doi.org/10.1088/1742-6596/947/1/012015
Zulkarnaen, R. (2018). Peningkatan Kemampuan Pemodelan dan Penalaran Matematis serta Academic Self-concept Siswa SMA melalui Interpretation-Construction Design Model. In Tidak di Publikasikan. Universitas Pendidikan Indonesia.
Zulkarnaen, R., & Kusumah, Y. S. (2019). Students’ mathematical modeling abilities in interpretation-construction design model. Journal of Physics: Conference Series, 1318(1), 1–6. https://doi.org/10.1088/1742-6596/1318/1/012097
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