Vol. 7 No. 4 (2025): Desember
Open Access
Peer Reviewed

Open-Ended Problems as a Strategy in Mathematics Modules to Enhance Students’ Mathematics Computational Thinking

Authors

Abdul Aziz , Sugeng Sutiarso , Caswita Caswita

DOI:

10.29303/jm.v7i4.10655

Published:

2025-12-02

Downloads

Abstract

Computational thinking (CT) is a key competency in 21st-century mathematics education. However, Indonesian students still face challenges in decomposition, abstraction, and algorithmic reasoning due to learning resources dominated by single-solution problems. This study developed and evaluated a mathematics module based on open-ended problems to enhance students’ CT skills in quadratic functions. The research adopted an R&D approach using the ADDIE model, including analysis, design, development, implementation, and evaluation. The process involved needs, curriculum, and learner analyses, followed by expert validation, practicality testing, and effectiveness evaluation. Three experts validated the module, while teachers and students assessed its practicality. Effectiveness was tested using a quasi-experimental pretest–posttest control group design involving 61 high school students. Data were analyzed using descriptive statistics, N-Gain, and inferential tests. Results showed the module was valid, practical, and effective in improving CT skills. The experimental group achieved significantly higher N-Gain (p < 0.05) than the control group, with abstraction and pattern recognition showing the greatest improvement.

Keywords:

Open-Ended Problems, Mathematics Learning Module, Computational Thinking

References

Ariesandi, I., Syamsuri, Yuhana, Y., & Fatah, A. (2021). Analisis kebutuhan pengembangan modul elektronik berbasis inkuiri untuk meningkatkan kemampuan berpikir komputasi pada materi barisan dan deret siswa SMA. Aksioma: Jurnal Matematika Dan Pendidikan Matematika, 12(2), 178–190. https://doi.org/https://doi.org/10.26877/aks.v12i2.7793

Aziz, A., Caswita, C., & Sutiarso, S. (2025). Efektivitas Open-ended Problem Ditinjau dari Kemampuan Pemecahan Masalah dan Berpikir Kreatif Matematis: Kajian Literatur. Mandalika Mathematics and Educations Journal, 7(2), 461–478. https://doi.org/10.29303/jm.v7i2.7139

Bahar, A., & June Maker, C. (2015). Cognitive backgrounds of problem solving: A comparison of open-ended vs. closed mathematics problems. Eurasia Journal of Mathematics, Science and Technology Education, 11(6), 1531–1546. https://doi.org/10.12973/eurasia.2015.1410a

Branch, R. M. (2009). Approach, Instructional Design: The ADDIE. In Department of Educational Psychology and Instructional Technology University of Georgia (Vol. 53, Issue 9). https://link.springer.com/book/10.1007/978-0-387-09506-6

Cahdriyana, R. A., & Richardo, R. (2020). Berpikir Komputasi Dalam Pembelajaran Matematika. LITERASI (Jurnal Ilmu Pendidikan), 11(1), 50. https://doi.org/10.21927/literasi.2020.11(1).50-56

Engelbrecht, J., & Borba, M. C. (2024). Recent developments in using digital technology in mathematics education. ZDM - Mathematics Education, 56(2), 281–292. https://doi.org/10.1007/s11858-023-01530-2

Gess-Newsome, J., Taylor, J. A., Carlson, J., Gardner, A. L., Wilson, C. D., & Stuhlsatz, M. A. M. (2019). Teacher pedagogical content knowledge, practice, and student achievement †. International Journal of Science Education, 41(7), 944–963. https://doi.org/10.1080/09500693.2016.1265158

Grover, S., & Pea, R. (2013). Computational Thinking in K-12: A Review of the State of the Field. Educational Researcher, 42(1), 38–43. https://doi.org/10.3102/0013189X12463051

Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66(1), 64–74. https://doi.org/10.1119/1.18809

Hsu, T. C., Chang, S. C., & Hung, Y. T. (2018). How to learn and how to teach computational thinking: Suggestions based on a review of the literature. Computers and Education, 126(September 2017), 296–310. https://doi.org/10.1016/j.compedu.2018.07.004

Indah, N., Budiarto, M. T., & Lukito, A. (2018). The Open-Ended Problem Based Mathematics Learning to Increase Studentsr Creativity on Fraction for Third Grade Elementary School. Advances in Intelligent Systems Research (AISR), 157(5), 77–80. https://doi.org/10.2991/miseic-18.2018.19

Juldial, T. U. H., & Haryadi, R. (2024). Analisis Keterampilan Berpikir Komputasional dalam Proses Pembelajaran. Jurnal Basicedu, 8(1), 136–144. https://doi.org/10.31004/basicedu.v8i1.6992

Keh, L. K., Ismail, Z., & Yusof, Y. M. (2016). A Review of Open-Ended Mathematical Problem. Anatolian Journal of Education, 1(1), 1–18. https://doi.org/10.29333/aje.2016.111a

Nuraini, F., Agustiani, N., & Mulyanti, Y. (2023). Analisis Kemampuan Berpikir Komputasi Ditinjau dari Kemandirian Belajar Siswa Kelas X SMK. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(3), 3067–3082. https://doi.org/10.31004/cendekia.v7i3.2672

OECD. (2023). PISA 2022 Assessment and Analytical Framework. OECD Publishing. https://doi.org/https://doi.org/10.1787/dfe0bf9c-en

Ögren, M., Nyström, M., & Jarodzka, H. (2016). There’s more to the multimedia effect than meets the eye: is seeing pictures believing? Instructional Science, 45(2), 263–287. https://doi.org/10.1007/s11251-016-9397-6

Pastore, R. (2016). Learner Preferences in Multimedia Design. Journal of Multimedia Processing and Technologies, 7(4), 144–152. https://dline.info/jmpt/fulltext/v7n4/jmptv7n4_3.pdf

Purwoko, R. Y., Kusumaningrum, B., Laila, A. N., & Astuti, E. P. (2023). Development of Open Ended Based Mathematics E-Modules to Enhance Students’ Critical Thinking Ability. Mathline : Jurnal Matematika Dan Pendidikan Matematika, 8(1), 194–206. https://doi.org/10.31943/mathline.v8i1.337

Putri, Tanjung, M. S., & Siregar, R. (2024). Studi Literatur Pentingnya Berpikir Komputasional dalam Meningkatkan Kemampuan Pemecahan Masalah Matematis Peserta Didik. Bilangan: Jurnal Ilmiah Matematika, Kebumian Dan Angkasa, 2(2), 23–33. https://doi.org/https://doi.org/10.62383/bilangan.v2i2 Studi

Ravista, N., Sutarno, S., & Harlita, H. (2021). Validity and Practicality of Guided Inquiry-Based E-Modules accompanied by Virtual Laboratory to Empower Critical Thinking Skills. Jurnal Penelitian Pendidikan IPA, 7(SpecialIssue), 331–339. https://doi.org/10.29303/jppipa.v7ispecialissue.1083

Rosanti, A. O. (2024). Studi Literatur : Pengembangan Modul Computational Thinking Berbasis Quantum Teaching and Learning (Qtl) Untuk Meningkatkan Keterampilan Berpikir Komputasi Siswa Kelas 4 Sdict Al Abidin Surakarta. Prosiding Seminar Nasional Indonesia, 2(2), 124–134. https://adisampublisher.org/index.php/nasional/article/view/692

Shute, V. J., Sun, C., & Asbell-Clarke, J. (2017). Demystifying computational thinking. Educational Research Review, 22, 142–158. https://doi.org/10.1016/j.edurev.2017.09.003

Siburian, T. R., & Zetriuslita, Z. (2023). Pengembangan Perangkat Pembelajaran Matematika dengan Pendekatan Open Ended Problem berbantuan Software Geogebra. Prisma, 12(1), 229. https://doi.org/10.35194/jp.v12i1.2902

Suwarno, M., & Ardani, R. A. (2022). Kemampuan Literasi Matematika Siswa Berdasarkan PISA Level 4. Square : Journal of Mathematics and Mathematics Education, 4(2), 107–115. https://doi.org/10.21580/square.2022.4.2.12401

Tang, X., Yin, Y., Lin, Q., Hadad, R., & Zhai, X. (2020). Assessing computational thinking: A systematic review of empirical studies. Computers and Education, 148(December 2019), 103798. https://doi.org/10.1016/j.compedu.2019.103798

Ummah, B. I., Utami, Y. T., & Arifandi, M. Z. (2024). Pengembangan Perangkat Pembelajaran Matematika Berbasis Open Ended Untuk Meningkatkan Kemampuan Berpikir Kreatif Siswa Kelas VIII Pada Materi SPLDV. As-Sunniyyah, 4(01), 53–64. https://doi.org/10.62097/assunniyyah.v4i01.1882

Viberg, O., Grönlund, Å., & Andersson, A. (2023). Integrating digital technology in mathematics education: a Swedish case study. Interactive Learning Environments, 31(1), 232–243. https://doi.org/10.1080/10494820.2020.1770801

Wing, J. M. (2006). Computational Thinking. COMMUNICATIONS OF THE ACM, 49(3), 33–35. https://doi.org/10.1145/1118178.1118215

Zulhendri, Z., & Muhandaz, R. (2020). Kemampuan Pemecahan Masalah pada Pembelajaran dengan Pendekatan Open-ended Berdasarkan Disposisi Matematis Siswa. JURING (Journal for Research in Mathematics Learning), 3(4), 335. https://doi.org/10.24014/juring.v3i4.10518

Author Biographies

Abdul Aziz, Universitas Lampung

Author Origin : Indonesia

Sugeng Sutiarso, Universitas Lampung

Author Origin : Indonesia

Caswita Caswita, Universitas Lampung

Author Origin : Indonesia

Downloads

Download data is not yet available.

How to Cite

Aziz, A., Sutiarso, S., & Caswita, C. (2025). Open-Ended Problems as a Strategy in Mathematics Modules to Enhance Students’ Mathematics Computational Thinking. Mandalika Mathematics and Educations Journal, 7(4), 1759–1773. https://doi.org/10.29303/jm.v7i4.10655

Most read articles by the same author(s)

Similar Articles

> >> 

You may also start an advanced similarity search for this article.