Model Understanding By Design (UBD) untuk Pembelajaran Matematika yang Adaptif dan Inklusif di Sekolah
DOI:
https://doi.org/10.31316/j.derivat.v12i3.8101Abstract
The implementation of the Understanding by Design (UbD) model in mathematics instruction aims to establish a planning framework focused on conceptual understanding and knowledge transfer. By integrating differentiated instruction and Universal Design for Learning (UDL) principles, UbD provides a systematic foundation for designing adaptive and inclusive learning experiences. Through a literature review of relevant theories and educational practices, a conceptual framework is developed to support responsiveness to the diverse needs, learning styles, and characteristics of students. Findings indicate that the integration of UbD with adaptive and inclusive strategies enhances student engagement, accessibility, and learning outcomes in mathematics. This approach is relevant for fostering equitable, meaningful, and contextual learning across educational levels.
Keywords : Understanding by Design, adaptive learning, inclusive education, mathematics instruction
References
Andini, A. M., Soenarko, B., & Basori, M. (2020). Efektivitas model pembelajaran Inside–Outside Circle didukung media visual pada pembelajaran IPA dalam upaya pelestarian sumber daya alam. Aksara: Jurnal Ilmu Pendidikan Nonformal, 6(3), 249–264. https://doi.org/10.37905/aksara.6.3.249-264.2020
Andini, D. W. (2022). Differentiated instruction: Solusi pembelajaran dalam keberagaman siswa di kelas inklusif. TRIHAYU: Jurnal Pendidikan Ke-SD-An, 2(3). https://doi.org/10.30738/trihayu.v2i3.725
Anggraini, R., & Hutapea, A., Novaria M. dan Amalina. (2021). Perangkat pembelajaran matematika berbasis Problem Based Learning untuk materi sistem persamaan linear tiga variabel (sebuah studi pengembangan). JURING (Journal for Research in Mathematics Learning), 4(4), 339. https://doi.org/10.24014/juring.v4i4.13919
Arnanda, A. N., Dafik, D., Oktavianingtyas, E., Harmi, H., & Firmani, I. (2021). Analisis Penerapan Media Pembelajaran Geogebra dalam Mengembangkan Kemampuan Komunikasi Matematis Siswa Pokok Bahasan Sistem Persamaan Linier Dua Variabel. Journal of Mathematics Education and Learning, 1(1), 38–38. https://doi.org/10.19184/jomeal.v1i1.24374
Asfiana, A., Fitriyani, F., & Rokhimawan, M. A. (2024). Analisis Tantangan dan Kelebihan Pembelajaran Berbasis Teknologi Informasi dan Komunikasi pada Kurikulum Merdeka di Sekolah Dasar. Ideguru Jurnal Karya Ilmiah Guru, 10(1), 187–193. https://doi.org/10.51169/ideguru.v10i1.1215
Basyah, N. A., Fahmi, I., & Jalil, Z. A. (2021). Penggunaan Teknologi Guru Dalam Jabatan Melalui Kerangka Kerja Technological Pedagogical Content Knowledge (TPACK). Aksara Jurnal Ilmu Pendidikan Nonformal, 7(3), 1245–1245. https://doi.org/10.37905/aksara.7.3.1245-1250.2021
Budiyono, S., & Haerullah, H. (2024). Dampak Teknologi terhadap Pembelajaran di Abad 21. TSAQOFAH, 4(3), 1790–1800. https://doi.org/10.58578/tsaqofah.v4i3.3005
Corno, L. (n.d.). Implicit Teachings and Self-Regulated Learning.
D’Angelo, T., Thoron, A. C., & Bunch, J. C. (2019). What is Understanding By Design (UbD)? EDIS, 2019(1). https://doi.org/10.32473/edis-wc322-2019
Darma, S. I., Syofni, S., & Suanto, E. (2022). Penerapan Model Problem Based Learning (PBL) Untuk Meningkatkan Hasil Belajar Matematika Siswa Kelas VIIB SMP IT Darul Huda Ukui. JURING (Journal for Research in Mathematics Learning), 5(1), 69–69. https://doi.org/10.24014/juring.v5i1.14367
Diana, D. (2020). PEMANFAATAN ICT DALAM PEMBELAJARAN MATEMATIKA BAGI ANAK USIA DINI. Edukasi, 14(1). https://doi.org/10.15294/edukasi.v14i1.963
Farhan, M. M., Mulia, D., & Sidik, S. A. (2024, January). Penggunaan Pendekatan Matematika Realistik dalam Meningkatkan Kemampuan Mengenal Nilai Uang Pada Anak Tunagrahita.
Fatimah, A. E., & Purba, A. (2021). Meningkatkan resiliensi matematis mahasiswa pada mata kuliah matematika dasar melalui pendekatan differentiated instruction. Journal of Didactic Mathematics, 2(1), 42–49. https://doi.org/10.34007/jdm.v2i1.617
Febriyanti, R., Mustadi, A., & Jerussalem, M. A. (2021). Students’ Learning Difficulties in Mathematics: How Do Teachers Diagnose and How Do Teachers Solve Them? Jurnal Pendidikan Matematika, 15(1), 23–36. https://doi.org/10.22342/jpm.15.1.10564.23-36
Harefa, A. T., & Lase, B. P. (2024). Peran Pendidikan dalam Mengurangi Stigma dan Diskriminasi terhadap Siswa dari Kelompok Minoritas Sosial. Journal of Education Research, 5(4), 4288–4294. https://doi.org/10.37985/jer.v5i4.1479
Harianti, E. (2017). PEMBELAJARAN OPERASI HITUNG BILANGAN BULAT MELALUI PERMAINAN GO BACK THROUGH THE DOOR (GOBAK SODOR) DAN PROBLEM POSING UNTUK MENINGKATKAN PEMAHAMAN SISWA KELAS IV MI NURUL JANNAH SAWARAN LOR. Jurnal Review Pendidikan Dasar Jurnal Kajian Pendidikan Dan Hasil Penelitian, 3(3), 481–481. https://doi.org/10.26740/jrpd.v3n3.p481-490
Harliawan, H. (2015). Penggunaan Media Pembelajaran Berbasis TIK untuk Meningkatkan Hasil Belajar IPS Kelas VIII J SMP Negeri 5 Singaraja. Ekuitas Jurnal Pendidikan Ekonomi, 3(1). https://doi.org/10.23887/ekuitas.v3i1.12786
Harmini, T. (2019). Efektivitas Penggunaan Modul Berbasis Differentiated Instruction untuk Meningkatkan Kemampuan Pemahaman Konsep Matematika Mahasiswa. Jurnal Didaktik Matematika, 6(2), 136–148. https://doi.org/10.24815/jdm.v6i2.14293
Haryanti, Y. D. (2017). MODEL PROBLEM BASED LEARNING MEMBANGUN KEMAMPUAN BERPIKIR KRITIS SISWA SEKOLAH DASAR. Jurnal Cakrawala Pendas, 3(2). https://doi.org/10.31949/jcp.v3i2.596
Hasyim, M. A. (2019). PEMANFAATAN LINGKUNGAN SEKITAR SEBAGAI SUMBER BELAJAR ILMU PENGETAHUAN SOSIAL. Elementeris Jurnal Ilmiah Pendidikan Dasar Islam, 1(1), 12–12. https://doi.org/10.33474/elementeris.v1i1.2737
Herbst, P., Chazan, D., Kosko, K. W., Dimmel, J., & Erickson, A. (2016). Using multimedia questionnaires to study influences on the decisions mathematics teachers make in instructional situations. ZDM, 48(1–2), 167–183. https://doi.org/10.1007/s11858-015-0727-y
Husnah, A., Fitriani, A., Patricya, F., undefined, M., Handayani, T. P., & Marini, A. (2023, November). ANALISIS MATERI IPS DALAM PEMBELAJARAN IPAS KURIKULUM MERDEKA DI SEKOLAH DASAR.
Inc, C. (n.d.). The UDL Guidelines. Retrieved June 23, 2025, from https://udlguidelines.cast.org
Iskandar, B. M., Purnomo, D., & Sugiyanti, S. (2019). Pengembangan Lembar Kegiatan Siswa Berbantu Wolfram Alpha untuk Meningkatkan Hasil Belajar Pokok Materi Sistem Persamaan Linear Dua Variabel Kelas VIII. Imajiner Jurnal Matematika Dan Pendidikan Matematika, 1(5), 211–216. https://doi.org/10.26877/imajiner.v1i5.4470
Juhairiah, J. (2020). Penggunaan Model Problem Solving Dalam Menyelesaikan Soal Cerita Matematika Di SDN 211/Ix Mendalo Darat. Jurnal Ilmiah Dikdaya, 10(2), 246–246. https://doi.org/10.33087/dikdaya.v10i2.182
Kristin, F., & Rahayu, D. L. (2016). PENGARUH PENERAPAN MODEL PEMBELAJARAN DISCOVERY LEARNING TERHADAP HASIL BELAJAR IPS PADA SISWA KELAS 4 SD. Scholaria Jurnal Pendidikan Dan Kebudayaan, 6(1), 84–84. https://doi.org/10.24246/j.scholaria.2016.v6.i1.p84-92
Kusumawati, P. R. D., & Aprilliantika, A. (2023). Pengembangan Video Animasi Berbasis Powtoon Materi Gaya Dalam Meningkatkan Hasil Belajar IPA. PENDIPA Journal of Science Education, 6(3), 853–858. https://doi.org/10.33369/pendipa.6.3.853-858
Majir, A. (2019). BLENDED LEARNING DALAM PENGEMBANGAN PEMBELAJARAN SUATU TUNTUTAN GUNA MEMPEROLEH KETERAMPILAN ABAD KE-21. Sebatik, 23(2), 359–366. https://doi.org/10.46984/sebatik.v23i2.783
Mardhiyah, R. H., Aldriani, S. N. F., Chitta, F., & Zulfikar, M. R. (2021). Pentingnya Keterampilan Belajar di Abad 21 sebagai Tuntutan dalam Pengembangan Sumber Daya Manusia. Lectura Jurnal Pendidikan, 12(1), 29–40. https://doi.org/10.31849/lectura.v12i1.5813
Maulidia, F. R., & Prafitasari, A. N. (2023). STRATEGI PEMBELAJARAN BERDIFERENSIASI DALAM MEMENUHI KEBUTUHAN BELAJAR PESERTA DIDIK. ScienceEdu, 6(1), 55–55. https://doi.org/10.19184/se.v6i1.40019
Munauwarah, R., Zahra, A., Supandi, M., Restiany, R. A., & Afrizal, D. (2021). Pendidikan Inklusi Solusi Utama Untuk Anak Penyandang Disabilitas. YASIN, 1(1), 121–133. https://doi.org/10.58578/yasin.v1i1.21
Mutiah, T. (2020). Meningkatkan hasil belajar pada pembelajaran sifat-sifat cahaya melalui model problem based learning pada siswa kelas IV Sekolah Dasar Negeri 3 Kedungwringin. Jurnal Kualita Pendidikan, 1(3), 86–93. https://doi.org/10.51651/jkp.v1i3.13
Nasruddin, Chairuddin, Rinda, & Miftachurohmah, N. (2022). Analisis Kemampuan Koneksi Matematis Siswa Kelas VIII SMP Negeri 24 Poleang. Journal of Mathematics Education and Science, 5(1), 15–21. https://doi.org/10.32665/james.v5i1.377
Nasution, E. Y. P., Pebrianti, D. L., & Putri, R. (2020). Analisis Terhadap Disposisi Berpikir Kritis Siswa Jurusan IPS Pada Pembelajaran Matematika. Mathline Jurnal Matematika Dan Pendidikan Matematika, 5(1), 61–76. https://doi.org/10.31943/mathline.v5i1.130
Ningsih, W. (2024, January). Indonesian Research Journal on Education.
Nurdiana, R., & Asmah, S. N. (2022). GAME EDUKASI MATEMATIKA “Tang Mane Bakoel Saprahan” DENGAN KONTEKS KEARIFAN LOKAL MELAYU KALIMANTAN BARAT. JPMI (Jurnal Pendidikan Matematika Indonesia), 7(1), 1–1. https://doi.org/10.26737/jpmi.v7i1.2695
Pambudi, W. A. S., Mastur, Z., & Kharisudin, I. (2021). KEMAMPUAN PENALARAN DAN REPRESENTASI MATEMATIS SISWA DENGAN MODEL PEMBELAJARAN MIC BERBASIS ETNOMATEMATIKA. Pedagogi Jurnal Penelitian Pendidikan, 8(2). https://doi.org/10.25134/pedagogi.v8i2.4968
Pasaribu, D., Tanjung, L. M., Yantina, R., Utami, T. H., & Angin, L. M. P. (2023). The Effect of the PBL Model to Increase Student Learning Activities in Integrated Thematic Learning in Elementary Schools. Journal of Educational Analytics, 2(2), 263–272. https://doi.org/10.55927/jeda.v2i2.4340
Pramudya, I., Mardiyana, M., Sutrima, S., Sujatmiko, P., & Aryuna, D. R. (2020). Mathematics Learning Practice Training with the “MiKIR” Approach to Improve Analysis and Algebra Reasoning Abilities in Mathematics MGMP SMP Sragen. Journal of Mathematics and Mathematics Education, 10(2), 1–1. https://doi.org/10.20961/jmme.v10i2.47076
Rikawati, K., & Sitinjak, D. S. (2020). Peningkatan Keaktifan Belajar Siswa dengan Penggunaan Metode Ceramah Interaktif. Journal of Educational Chemistry (JEC), 2(2), 40–40. https://doi.org/10.21580/jec.2020.2.2.6059
Rosnaeni, R., Sukiman, S., Muzayanati, A., & Pratiwi, Y. (2021). Model-Model Pengembangan Kurikulum di Sekolah. EDUKATIF JURNAL ILMU PENDIDIKAN, 4(1), 467–473. https://doi.org/10.31004/edukatif.v4i1.1776
Rozalia, M. F., & Suwarno, S. (2023). Model Project Based Learning untuk Meningkatkan Hasil Belajar Matematika Materi Penyajian Data Kelas IV. JUPE Jurnal Pendidikan Mandala, 8(2), 465–465. https://doi.org/10.58258/jupe.v8i2.5375
Spooner, F., Baker, J. N., Harris, A. A., Ahlgrim-Delzell, L., & Browder, D. M. (2007). Effects of Training in Universal Design for Learning on Lesson Plan Development. Remedial and Special Education, 28(2), 108–116. https://doi.org/10.1177/07419325070280020101
Syamsuar, S., Sulasteri, S., Suharti, S., & Nur, F. (2021). Bahan Ajar Matematika Terintegrasi Islam untuk Meningkatkan Religiusitas dan Hasil Belajar Siswa. Suska Journal of Mathematics Education, 7(1), 13–13. https://doi.org/10.24014/sjme.v7i1.10827
Tomlinson, C. A. (2014). The Differentiated Classroom: Responding to the Needs of All Learners. ASCD.
Touriano, D. (2018). INTERACTIVE TECHNOLOGY IN THE TEACHING AND LEARNING PROCESS IN HIGHER EDUCATION. JOURNAL V-TECH (VISION TECHNOLOGY), 1(2), 31–36. https://doi.org/10.35141/jvt.v1i2.94
Utami, M. N., & Putra, W. B. (2020). Fasilitas Ruang Khusus Pada Sekolah Inklusi Binar Indonesia (Bindo) di Bandung. Jurnal Arsitektur TERRACOTTA, 2(1). https://doi.org/10.26760/terracotta.v2i1.4289
Verdian, R. H., undefined, S., Widjati, W., & Widiastuti, E. (2024, January). Permainan Money Monopoly sebagai Media Meningkatkan Literasi Keuangan pada Anak Autis.
Wakit, A. (2023). Analisis Kesulitan Siswa Dalam Memahami Materi Perkalian Studi Kasus Kesulitan Siswa Kelas IV SD. MATH-EDU Jurnal Ilmu Pendidikan Matematika, 8(1), 80–87. https://doi.org/10.32938/jipm.8.1.2023.80-87
Widyaswari, T., Siahaan, S. M., & Stiawan, D. (n.d.). Analysis of Teachers’ Needs for Google Site- Based E-Learning Media Development in Indonesian Language Instruction at the Elementary Level.
Wiggins, G. P., & McTighe, J. (2008). Understanding by design (Expanded 2nd ed, [Nachdr.]). Association for Supervision and Curriculum Development.
Yanuar, Y., Sukmawati, K. I., & Arifin, S. (2019). Penerapan Model Student Teams Achievement Division Terhadap Kemampuan Pemahaman Konsep Matematika Siswa Kelas VIII. UNION Jurnal Ilmiah Pendidikan Matematika, 7(1), 57–64. https://doi.org/10.30738/union.v7i1.3151
Yulianto, F. E., Kurnadi, B., Basri, H., Jannah, U. R., & Zayyadi, M. (2021). MODEL INOVASI PEMBELAJARAN MAHASISWA BERKEBUTUHAN KHUSUS (MBK) BERBASIS VIDEO BERSUBTITLE. Pi Mathematics Education Journal, 4(1), 10–19. https://doi.org/10.21067/pmej.v4i1.5138
Yustinaningrum, B. (2019). MODEL PEMBELAJARAN MATEMATIKA ABAD 21 (KAJIAN MODEL PROJECT BASED LEARNING). Jurnal Sinektik, 2(1), 48–48. https://doi.org/10.33061/js.v2i1.3019
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