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Ismiyati, Ismiyati
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Enhancing Conceptual Understanding in Geometry of Curved Solids: A Constructivist Philosophy Approach through Interactive E-Module for Secondary School Students Santosa, Yoga Tegar; Hastuti, Windi; Ismiyati, Ismiyati; Ferdianto, Juli; Kholid, Muhammad Noor
Jurnal VARIDIKA Volume 38 No 2, June 2026
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v38i2.13706

Abstract

Conceptual understanding is a crucial aspect of mathematics learning. However, in practice, students’ mathematical conceptual understanding often tends to be low. One potential solution is the implementation of an interactive e-module grounded in constructivist philosophy to facilitate deeper understanding of mathematical concepts. This study aims to examine the influence of using a constructivist-philosophy-based interactive e-module on students’ conceptual understanding in geometry of curved solids at the secondary school level. The research employed a quantitative quasi-experimental approach with a pretest–posttest non-equivalent control group design. The participants consisted of 62 ninth-grade students from a public junior secondary school in Boyolali Regency, Indonesia, who were divided into experimental and control groups. Data were collected using a conceptual understanding test that was validated and demonstrated good reliability (Cronbach’s α = 0.82). Data analysis was conducted using descriptive and inferential statistics. The Mann–Whitney U test revealed a significant difference in post-test scores between the experimental and control groups (p < 0.001), with the experimental group achieving a higher median score (75) than the control group (55.5). The effect size analysis indicated a strong practical effect (r = 0.77), suggesting that the observed difference was not only statistically significant but also educationally meaningful. These findings indicate that the constructivist-philosophy-based interactive e-module was effective in supporting the enhancement of students’ conceptual understanding of geometry of curved solids. Furthermore, students who learned the material using the e-module demonstrated significantly better conceptual understanding than those who did not. These findings can serve as a reference for teachers in selecting appropriate digital learning media, while also contributing to the development of mathematics learning innovations oriented towards constructivism.
Co-Authors Aan Ikhsananto, Aan Adisti Eva Rahmaningrum Aeni, Nanda Zahrotul Agdila, Alivia Fernanda Agung, Gusti Muhammad Agus Susanto Ahcaras, Fitri Ahmad Jaenudin Ahmad Saeroji Akbar Iskandar Alfianto, Dwi Amin Pujiati Aminata, Jaka Ana Mardiyaningsih Anggraini, Yunita Anis Susanti Antara, Setya Ariesta, Eliza Arif Setiawan Arif Setiawan Aripiyanto, Saepul Arlofa, Nina Arrosida, Hanum Atsirina Krisnaputri, Nilam Ayunina Lathifah, Fita Benny Mutiara, Achmad Bestari Dwi Handayani Busori, Akhmat Chotibul Umam Deni Kurniadi Sunjaya Dhela Septia Anggaretta Dian Fithra Permana Dwi Cahyaningdyah Dyah Ayu Ratnaningtyas, Dyah Ayu Edy Suryanto Eka Rini Kesumaningsih, Margaretha Eltivitasari, Andita Ferdianto, Juli Ferry Hermawan Fitriyah, Nurul H. Fitta Ummaya Santi Gema Fitriyano, Gema Hajir, Siti Hamivaldi, Mohammad Zulfikar Handadjani, Mudjiastuti Haqiqi, Syaefa Habsyah Nur Maulida Haryanto Haryanto Hastuti, Windi Helfi Gustia Hellen Febriyanti Hengky Pramusinto Heri Retnawati Heri yanto hidayat, untung Holy Latifah Hanum Husin, Farid Ika Kurniaty, Ika Ika Pratiwi Intan Yunia Yusman Iramie Duma Kencana Irianto Irfan Purnawan Purnawan Iswanto, Rery Kurniawati Danu Jumadiyah, Cholidatul kadarisman, muhammad Kemal Budi Mulyono, Kemal Budi Khaira, Mulil Kosasih, Muhammad Kurniadi, Muslih Kurniati, Yuniar Kuswandi, Kadar Lamma, Louis Hermanus Legowo, Djoko Lesta Karolina br Sebayang Lestari, Septiana Sri Mar&#039;atus Sholikah Mar'atus Sholikah Mar’atus Mar’atus Sholikah Mar’atus Sholikah Mar’atus Sholikah Maula, Rohmatul Mudjiastuti Handajani Muhammad Noor Kholid Muhsin, Muhsin Mulya Agung Mursiati, Sri Murti, Redy Prasetyo Kresno Nanik Suryani Ni'mah, Zulfatun Nining Setyaningsih Nita Dwi Yulianti Noorsakti Wahyudi Nur Chayati Nurul Huda Agustiani Pakpahan, Daniel Rinsani Pambudi, Rilo Prabowo, Aris Prakosa, Dwi Untung Prastiwi Prastiwi, Prastiwi Qurniasih, Nila Rachmadi, Moch. Faizal Raharjo, Teguh Hardi Ramadhan, Raihan Fajar Ratnanintyas, Dyah Ayu Ratri Ariatmi Nugrahani Rayi Pradono Iswara Rini, M.Eka Risanda Alirastra Budiantoro Rizka Andriyati Rumiatun, Darti salamah salamah Sandy Arief Santosa, Yoga Tegar Sapiie, Tuti Wahmurti A. Saroya, Nabela Putri Nilla Setyo Pratiwi Shabbah, Raihan Shahab, Dahris Sholihah, Mar'atus Sholikah, Mar'atus Sholikah, Mar’atus Sinta Saraswati Siti Nur Hidayati Solikin Solikin Sri Purwanti Sunjaya, Deni k Supam Wijaya, Arif Suparni, Hetty Endang Supriyono Supriyono Suranto Suranto Suratman, Asep Surjandy, Surjandy Suryana, Radit Susi Susanah Sutar Sutianingsih, Hani Sutini Sutini, Sutini Sutomo, Omo Suwardjo, Deddy Groho Syamsudin Ab, Syamsudin Syarifuddin Tasya, Azza Man Teguh Hardi Raharjo Teja, Husni Tiawan, Tiawan Tri Suminar Tri Yuni Hendrawati trilestari, trilestari Triyana, Yuli Tusyanah Tusyanah Udin Sabarudin Umar Reza Saputra Ummul Habibah Hasyim Undari, Diyah Wardani, Nanda Tyas Widiastuti A, T. Tutut Wisudani Rahmaningtyas wusono, ciska nabilah Yulia Fitri Ambarwati Yuliani, Rosa Dwi Yulinasari, Yulinasari Zahra, Surti Zuhdan Kamal Abdillah, Zuhdan Kamal