Development and validation of a GeoGebra classroom–integrated interactive e-module for enhancing students’ conceptual understanding of integral calculus
DOI:
https://doi.org/10.29408/jel.v12i2.32431Keywords:
conceptual understanding, development, e-module, GeoGebra classroom, integralAbstract
Technology-based e-modules can facilitate interactive learning by actively engaging students in constructing mathematical understanding. GeoGebra Classroom is a digital platform that supports it by enabling interactive activities, real-time monitoring, and immediate feedback. This study aimed to develop and validate an interactive e-module integrated with GeoGebra Classroom to support students' conceptual understanding of integrals. The research method employed is research and development using a modified 4-D model limited to three stages: define, design, and develop. The research subjects were 21 undergraduate students from the mathematics education program at STKIP Paracendekia NW Sumbawa. Data were collected through questionnaires, observations, interviews, and tests and analyzed using descriptive qualitative and quantitative techniques. The results indicated that the developed e-module achieved a very valid category, with an average score of 90.11% from material and media experts. Students' responses showed that the e-module was very practical (86.21%). The effectiveness evaluation demonstrated potential effectiveness based on an average score of 80.83 in the concept understanding ability test. These findings indicate that the GeoGebra Classroom–integrated interactive e-module is feasible for use as a learning resource to support students' conceptual understanding of integral calculus and has the potential to facilitate interactive and independent learning.
References
Albaladejo, I. M. R., & López, M. del M. G. (2024). Mathematical attitudes transformation when introducing GeoGebra in the secondary classroom. Education and Information Technologies, 29(8), 10277–10302. https://doi.org/10.1007/s10639-023-12085-w
Anggraeni, E. R., Ma’rufi, & Suaedi. (2021). Pengembangan media pembelajaran matematika berbasis GeoGebra untuk meningkatkan kemampuan pemahaman konsep siswa [Development of GeoGebra-based mathematics learning media to improve students’ conceptual understanding abilities]. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 4(1), 43–55. https://doi.org/10.30605/proximal.v4i1.503
Arbain, N., & Shukor, N. A. (2015). The effects of GeoGebra on students achievement. Procedia - Social and Behavioral Sciences, 172, 208–214. https://doi.org/10.1016/j.sbspro.2015.01.356
Aspriyani, R., & Suzana, A. (2020). Pengembangan e-modul interaktif materi persamaan lingkaran berbasis realistic mathematics education berbantuan Geogebra [Development of an interactive e-module for circle equation material based on realistic mathematics education assisted by Geogebra]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 1099–1111. https://doi.org/10.24127/ajpm.v9i4.3123
Aziz, A. A., & Noer, S. H. (2022). Analisis pembelajaran berbasis kemampuan pemecahan masalah dan kebutuhan e-modul berbantuan flipbook maker [Analysis of problem-solving ability-based learning and e-module needs assisted by flipbook maker]. JNPM (Jurnal Nasional Pendidikan Matematika), 6(4), 788–801. https://doi.org/10.33603/jnpm.v6i4.7330
Badriyanto, B., & Qohar, A. (2022). Developing Interactive Learning Media of Worksheets based on Geogebra Classroom. JIPM (Jurnal Ilmiah Pendidikan Matematika), 11(1), 233. https://doi.org/10.25273/jipm.v11i1.14094
Baye, M. G., Ayele, M. A., & Wondimuneh, T. E. (2021). Implementing GeoGebra integrated with multi-teaching approaches guided by the APOS theory to enhance students’ conceptual understanding of limit in Ethiopian Universities. Heliyon, 7(5). https://doi.org/10.1016/j.heliyon.2021.e07012
Bedada, T. B., & Machaba, M. F. (2024). The development of the cycle model and its effect on mathematics learning using GeoGebra mathematical software. Education Inquiry, 15(4), 503–526. https://doi.org/10.1080/20004508.2022.2137260
Diković, L. (2009). Applications geogebra into teaching some topics of mathematics at the college level. Computer Science and Information Systems, 6(2), 191–203. https://doi.org/10.2298/CSIS0902191D
Fitria, M. (2022). Kemampuan pemahaman konsep mahasiswa dalam penyelesaian soal integral berdasarkan teori APOS [Students’ conceptual understanding ability in solving integral problems based on APOS theory]. Dharmas Education Journal (DE_Journal), 1(1), 48–54. https://doi.org/10.56667/dejournal.v1i1.59
Gurmu, F., Tuge, C., & Hunde, A. B. (2024). Effects of GeoGebra-assisted instructional methods on students’ conceptual understanding of geometry. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2379745
Hastuti, S. S., Labudasari, E., & Jannah, W. N. (2024). Analisis kemampuan pemahaman konsep matematika melalui model contextual teaching and learning [Analysis of mathematical concept understanding ability through contextual teaching and learning model]. JRPD (Jurnal Riset Pendidikan Dasar), 7(2), 148–156. https://doi.org/10.26618/jrpd.v7i2.15165
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), 317–331. https://doi.org/10.22460/infinity.v13i2.p317-332
Hidayatulloh, M. S. (2016). Pengembangan e-modul matematika berbasis problem based learning berbantuan geogebra pada materi bilangan bulat [Development of a mathematics e-module based on problem-based learning assisted by GeoGebra on the topic of integers]. AKSIOMA : Jurnal Matematika Dan Pendidikan Matematika, 7(2), 24–31. https://doi.org/10.26877/aks.v7i2.1416
Lestari, I. (2018). Pengembangan bahan ajar matematika dengan memanfaatkan Geogebra untuk meningkatkan pemahaman konsep [Development of mathematics teaching materials by utilizing GeoGebra to improve conceptual understanding]. GAUSS: Jurnal Pendidikan Matematika, 01(01), 26–36. https://doi.org/10.30656/gauss.v1i1.634
Luritawaty, I. P., & Sumartini, T. S. (2025). Pengembangan e-modul Geogebra berbasis problem-based learning untuk meningkatkan kemampuan spasial matematis [Development of GeoGebra e-modules based on problem-based learning to improve mathematical spatial abilities]. Ar-Riyadhiyyat: Journal of Mathematics Education, 5(2), 44–56. https://doi.org/10.47766/arriyadhiyyat.v5i2.5054
Meilasari, V., & Khotimah, K. (2022). Pengembangan e-modul berbantuan Geogebra pada mata kuliah kalkulus integral lipat [Development of GeoGebra-assisted e-modules for the subject of folded integral calculus]. SIGMA: Kajian Ilmu Pendidikan Matematika, 8(1), 1–7. https://doi.org/10.53712/sigma.v8i1.1533
Muchlis, E. E., Priatna, N., & Dahlan, J. A. (2021). Development of a web-based worksheet with a project-based learning model assisted by GeoGebra. Jurnal Riset Pendidikan Matematika, 8(1), 46–60. https://doi.org/https://doi.org/10.21831/jrpm.v8i1.40985
Nahdi, D. S., & Jatisunda, M. G. (2020). Conceptual Understanding and Procedural Knowledge: A Case Study on Learning Mathematics of Fractional Material in Elementary School. Journal of Physics: Conference Series, 1477(4), 1–5. https://doi.org/10.1088/1742-6596/1477/4/042037
Nasrullah, A., Umalihayati, U., & Mubarika, M. P. (2023). Pemanfaatan Geogebra Terhadap Peningkatan Kemampuan Pemahaman Konsep pada Pembelajaran Matematika Ekonomi. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(2), 1789. https://doi.org/10.24127/ajpm.v12i2.7098
NCTM. (2000). Principles and Standards for School Mathematics. The National Council of Teachers of Mathematics, Inc.
Neldiana, R., & Harisman, Y. (2024). Peranan Integral dan Diferensial Terhadap Kalkulus. Jurnal Cendekia : Jurnal Pendidikan Matematika, 09, 273–284. https://doi.org/10.31004/cendekia.v9i1.3853
Nurfad, Indriana, & Julian, F. (2024). Students’ Mathematical Conceptual Knowledge. Jurnal Mercumatika: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 8(2), 3–7. https://doi.org/https://doi.org/10.26486/jm.v8i2.3414
Nyoman, N., Darma Putri, W., Puja Astawa, W., & Ardana, I. M. (2021). Improving Students’ Conceptual Understanding Through Geogebra-Assisted “5E” Learning Cycle: Is It Effective? Jurnal Pendidikan Dan Pengajaran, 54, 170–180. https://doi.org/https://doi.org/10.23887/jpp.v54i1
Nzaramyimana, E. (2021). Effectiveness of GeoGebra towards Students’ Active Learning, Performance and Interest to Learn Mathematics. International Journal of Mathematics and Computer Research, 09(10). https://doi.org/https://doi.org/10.47191/ijmcr/v9i10.05
Oliveira, M. P. de S., Hall, A., Bastos, N. R. O., Seabra, D., Assunção, E., & Barroso, M. J. (2023). The Geogebra Book: A Tool to Engage Students. EDULEARN23 Proceedings, 2149–2157. https://doi.org/10.21125/edulearn.2023.0645
Owusu, R., Bonyah, E., & Arthur, Y. D. (2023). The Effect of GeoGebra on University Students’ Understanding of Polar Coordinates. Cogent Education, 10(1). https://doi.org/10.1080/2331186X.2023.2177050
Pramana, B. W. A., Susanto, Suwito, A., Lestari, N. D. S., & Murtikusuma, R. P. (2022). Pengembangan e-modul berbantuan Geogebra pada materi transformasi geometri SMA [Development of GeoGebra-assisted e-modules on high school geometric transformation material]. GAUSS: Jurnal Pendidikan Matematika, 5(2), 1–14. https://doi.org/10.30656/gauss.v5i2.5694
Rachmawati, & Listiani, W. (2022). Pengembangan bahan ajar komputasi matematika dan implementasinya pada maple soft untuk pembelajaran jarak jauh [Development of mathematical computational teaching materials and their implementation on maple soft for distance learning]. Jurnal Jendela Pendidikan, 02(01), 110–116. https://doi.org/https://doi.org/10.57008/jjp.v2i01.134
Rifa’i, M., & Nisa’, R. (2020). Pengembangan e-modul kalkulus berbasis Geogebra dengan dukungan website Moodle [Development of GeoGebra-based calculus e-modules with Moodle website support]. Math Didactic: Jurnal Pendidikan Matematika, 5(3), 259–268. https://doi.org/10.33654/math.v5i3.780
Rosyidi, A. H., Sari, Y. M., Fardah, D. K., & Masriyah, M. (2024a). Designing mathematics problem-solving assessment with GeoGebra Classroom: proving the instrument validity. Journal of Education and Learning, 18(3), 1038–1046. https://doi.org/10.11591/edulearn.v18i3.21191
Sari, N. H. M., Ayusman, M. H., Agus, M., & Nahdi, A. L. (2024). Pemanfaatan Geogebra dalam pembelajaran kalkulus: systematic literature review [Utilization of Geogebra in calculus learning: systematic literature review]. SANTIKA : Seminar Nasional Tadris Matematika, 429–438. https://proceeding.uingusdur.ac.id/index.php/santika/article/view/santika42434
Septiani, R. D., & Harisman, Y. (2025). Studi pemahaman kalkulus: uji kemampuan mahasiswa pendidikan matematika dalam perhitungan integral dan diferensial [Calculus comprehension study: a test of mathematics education students’ abilities in integral and differential calculations]. Jurnal Riset Pembelajaran Matematika Sekolah, 9(1), 28–42. https://doi.org/10.21009/jrpms.091.04
Siki, D., Djong, K. D., & Jagom, Y. O. (2021). Profil pemahaman konsep matematika siswa SMP dalam menyelesaikan masalah matematika [Profile of junior high school students’ understanding of mathematical concepts in solving mathematical problems]. Leibniz : Jurnal Matematika, 1(1), 36–43. https://doi.org/10.59632/leibniz.v1i1.55
Sugiyono. (2017). Metode penelitian kuantitatif, kualitatif dan R&D [Quantitative, qualitative and R&D research methods]. CV. Alfabeta.
Sur, W. A. A. (2020). Mathematical Construction of Definite Integral Concepts by Using GeoGebra. Mathematics Education Journal, 4(1), 37. https://doi.org/10.22219/mej.v4i1.11469
Susilowati, R., & Julkarnain, M. (2022). Pengembangan applet GeoGebra pada materi distribusi peluang khusus [Development of a GeoGebra applet on the special probability distribution material]. JINTEKS (Jurnal Informatika Teknologi Dan Sains), 4(4), 346–352. https://doi.org/10.51401/jinteks.v4i4.2044
Sutopo, N. A., & Ratu, N. (2022). Pengembangan media pembelajaran geogebra classroom sebagai penguatan pemahaman konsep materi translasi siswa SMP kelas IX [Development of GeoGebra Classroom learning media to strengthen the understanding of translation material concepts for grade 9 junior high school students]. Jurnal Cendekia: Jurnal Pendidikan Matematika, 06(01), 10–23. https://doi.org/10.31004/cendekia.v6i1.971
Takači, D., Stankov, G., & Milanovic, I. (2015). Efficiency of learning environment using GeoGebra when calculus contents are learned in collaborative groups. Computers and Education, 82, 421–431. https://doi.org/10.1016/j.compedu.2014.12.002
Tasman, F., & Ahmad, D. (2017). Pemahaman mahasiswa terhadap integral sebagai anti turunan, suatu desain riset pada kalkulus integral [Students’ understanding of integrals as antiderivatives, a research design in integral calculus]. JURNAL EKSAKTA PENDIDIKAN (JEP), 1(1), 9–16. https://doi.org/10.24036/jep/vol1-iss1/28
Tatar, E., & Zengin, Y. (2016). Conceptual Understanding of Definite Integral with GeoGebra. Computers in the Schools, 33(2), 120–132. https://doi.org/10.1080/07380569.2016.1177480
Triana Safitri, S., Darminto, B. P., & Purwaningsih, W. I. (2023). Pengembangan media pembelajaran matematika berbasis web berbantuan Geogebra untuk meningkatkan pemahaman konsep siswa SMP [Development of web-based mathematics learning media assisted by GeoGebra to improve junior high school students’ conceptual understanding]. Jurnal Gammath, 08(01), 39–46. https://doi.org/10.32528/gammath.v8i1.276
Usman, Aiyub, & M. Hasbi. (2025). Students’ conceptual understanding of limit of functions reviewed from mathematical beliefs. Jurnal Elemen, 11(3), 515–532. https://doi.org/10.29408/jel.v11i3.29144
Uwurukundo, M. S., Maniraho, J. F., & Tusiime, M. (2020). GeoGebra integration and effectiveness in the teaching and learning of mathematics in secondary schools: A review of literature. African Journal of Educational Studies in Mathematics and Sciences, 16(1), 1–13. https://doi.org/https://doi.org/10.4314/ajesms.v16i1.1
Varberg, D., Purcell, E., & Rigdon, S. (2006). Calculus (Ninth). Prentice Hall.
Yorganci, S. (2018). A study on the views of graduate students on the use of Geogebra in mathematics teaching. European Journal of Education Studies, 4(8), 63–78. https://doi.org/10.5281/zenodo.1272935
Ziatdinov, R., & Valles, J. R. (2022). Synthesis of modeling, visualization, and programming in GeoGebra as an effective approach for teaching and learning STEM topics. Mathematics, 10(3), 1–16. https://doi.org/10.3390/math10030398
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Rina Susilowati, Aska Muta Yuliani, Nur Farida

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with the Jurnal Elemen agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0).
- Authors are able to enter into separate, additional contractual arrangements for the distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
Jurnal Elemen is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License



