Assessing Students’ Computational Thinking AbilityBased on Mathematical Reasoning
DOI:
https://doi.org/10.26811/peuradeun.v14i2.1602Keywords:
Assessment, Computational Thinking, Mathematical Reasoning, Multidimensional Item Response TheoryAbstract
Despite the growing emphasis on twenty-first-century competencies, assessment practices in mathematics education have not sufficiently captured theintegration of computational thinking and mathematical reasoning. This study aims to develop and validate the SMART-CT instrument as a multidimensional assessment framework for evaluating computational thinking within mathematical reasoning contexts among senior high school students. The instrument was developed using the ADDIE model and validated through expert judgment, second-order Confirmatory Factor Analysis (CFA), reliability analysis, and Multidimensional Item Response Theory (MIRT) based on data collected from 1,218 students. The results demonstrate that the instrument exhibits strong psychometric qualities, including satisfactory model fit, high internal consistency (α = 0.861), and adequate measurement precision within the ability range of θ = −0.5 to +1.0, although reduced sensitivity was observed at higher ability levels. By conceptualizing computational thinking as an integral component of mathematical reasoning and operationalizing it within a multidimensional measurement framework, this study contributes to the advancement of more authentic and process-oriented assessment practices in mathematics education.References
Aba-Oli, Z., Koyas, K., & Husen, A. (2025). Higher-Order Thinking Skills-Oriented Problem-Based Learning Interventions in Mathematics: A Systematic Literature Review. School Science and Mathematics, 125(3), 214–231. https://doi.org/10.1111/ssm.12676
Anđić, B., Mumcu, F., Tejera, M., Schmidthaler, E., & Lavicza, Z. (2023). Unplugging Math: Integrating Computational Thinking into Mathematics Education Through Poly-Universe. Advances in Sustainability Science and Technology, 247–263. https://doi.org/10.1007/978-981-99-5540-4_15
Assegaf, A. R., Khaulasari, H., Thohir, M., Ali, A., & Pangastuti, R. (2025). The Effectiveness of Peaceful Education Learning Strategies for Students at Emergency Madrasas Following Natural Disasters in Sidoarjo. Jurnal Pendidikan Agama Islam, 22(1), 57–80. https://doi.org/10.14421/jpai.v22i1.8369
Aydin, U., & Birgili, B. (2023). Assessing Mathematical Higher-Order Thinking Skills: An Analysis of Turkish University Entrance Examinations. Educational Assessment, 28(3), 190–209. https://doi.org/10.1080/10627197.2023.2202311
Balulu, N., Isnawati, I., Supriyadi, S., Jatmiko, B., Ahmad, Z., Limatahu, I., & Takda, A. (2025). Critical Thinking Development in Physics Education Through The Implementation of the BW-ExPort Model at Madrasah Aliyah. Jurnal Pendidikan Islam, 12(1), 35–47. https://doi.org/10.15575/jpi.v12i1.49792
Bebras Indonesia. (2023). Pengumuman Hasil Bebras Indonesia Challenge 2023. https://bebras.or.id/v3/pengumuman-hasil-bebras-indonesia-challenge-2023/
Bebras Indonesia. (2024). Pengumuman Hasil Bebras Indonesia Challenge 2024. https://bebras.or.id/v3/pengumuman-hasil-bebras-indonesia-challenge-2024/
Branch, R. M. (2009). Instructional Design: The ADDIE Approach. Springer US. https://doi.org/10.1007/978-0-387-09506-6
Dagiene, V., & Dolgopolovas, V. (2022). Short Tasks for Scaffolding Computational Thinking by the Global Bebras Challenge. Mathematics, 10(17), 3194. https://doi.org/10.3390/math10173194
Dagienė, V., & Sentance, S. (2016). It’s Computational Thinking! Bebras Tasks in the Curriculum. In A. Brodnik & F. Tort (Eds.), Informatics in Schools: Improvement of Informatics Knowledge and Perception (Vol. 9973, pp. 28–39). Springer International Publishing. https://doi.org/10.1007/978-3-319-46747-4_3
Dimov, P. S. (2024). An Online Tool for Misinformation Detection: Enhancing Media Literacy and Critical Thinking Skills. Online Learning In Educational Research (OLER), 4(2), 61–69. https://doi.org/10.58524/oler.v4i2.413
Fauzi, M. R., Hamami, T., & Kim, H. J. (2024). Islamic Religious Education Curriculum Innovation: Fethullah Gülen’s Perspective. Jurnal Pendidikan Agama Islam, 21(1), 186–200. https://doi.org/10.14421/jpai.v21i1.7089
Ferreira, T. D., Santos, J. S., Medeiros, R. de A., Andrade, W. L., Brunet, J., & Melo, M. R. A. (2023). Exploring the Relationship of Mathematical Reasoning and Computational Thinking. Anais Do XXIX Workshop de Informática Na Escola (WIE 2023).
Gane, B. (2020). Developing Computational Thinking Assessments from Learning Trajectories: Design Approach and Preliminary Validity Evidence. Proceedings of the 2020 AERA Annual Meeting. https://doi.org/10.3102/1582248
Gunawan, M. A., Amalia, F., Setiawan, A., & Ab Ghani, H. H. (2025). Critical Thinking in Math: 10th-Grade Analysis using Cognitive Diagnostic Modeling. REID (Research and Evaluation in Education), 11(1), 89–100. https://doi.org/10.21831/reid.v11i1.88074
Hamdi, S., Yuliana, L., Oktarina, A. D., Hidayati, K., Arliani, E., & Mz, N. M. (2026). Authentic Mathematics Assessment Using an Integrated Deep Learning and Adiwiyata Testlet Model for Elementary Schools and Madrasah Ibtidaiyah. Nazhruna: Jurnal Pendidikan Islam, 9(1), 187–206. https://doi.org/10.31538/nzh.v9i1.418
Herbert, S., Vale, C., White, P., & Bragg, L. A. (2022). Engagement with a Formative Assessment Rubric: A Case of Mathematical Reasoning. International Journal of Educational Research, 111, 101899. https://doi.org/10.1016/j.ijer.2021.101899
Immekus, J. C., Snyder, K. E., & Ralston, P. A. (2019). Multidimensional Item Response Theory for Factor Structure Assessment in Educational Psychology Research. Frontiers in Education, 4, 434763. https://doi.org/10.3389/feduc.2019.00045/text
Jailani, J., Retnawati, H., Rafi, I., Mahmudi, A., Arliani, E., Zulnaidi, H., Abd Hamid, H. S., & Prayitno, H. J. (2023). A Phenomenological Study of Challenges that Prospective Mathematics Teachers Face in Developing Mathematical Problems that Require Higher-Order Thinking Skills. Eurasia Journal of Mathematics, Science and Technology Education, 19(10), em2339. https://doi.org/10.29333/ejmste/13631
Jeannotte, D., & Kieran, C. (2017). A Conceptual Model of Mathematical Reasoning for School Mathematics. Educational Studies in Mathematics, 96(1), 1–16. https://doi.org/10.1007/s10649-017-9761-8
Jewsbury, P. A., & van Rijn, P. W. (2020). IRT and MIRT Models for Item Parameter Estimation with Multidimensional Multistage Tests. Journal of Educational and Behavioral Statistics, 45(4), 383–402. https://doi.org/10.3102/1076998619881790
Kadijevich, D. M. (2023). Computational/Algorithmic Thinking in School Mathematics. European Congress of Mathematics, 749–769. https://doi.org/10.4171/8ecm/40
Labusch, A., Eickelmann, B., & Vennemann, M. (2019). Computational Thinking Processes and Their Congruence with Problem-Sol ving and Information Processing. In Computational Thinking Education (pp. 65–78). Springer Singapore. https://doi.org/10.1007/978-981-13-6528-7_5
Lai, R. P. Y., & Ellefson, M. R. (2023). How Multidimensional is Computational Thinking Competency? A Bi-Factor Model of the Computational Thinking Challenge. Journal of Educational Computing Research, 61(2), 259–282. https://doi.org/10.1177/07356331221121052
Liu, Z. (2023). Measuring Computational Thinking Through Modeling Problem-Solving Processes in Game-Based Learning. AERA 2023. https://doi.org/10.3102/ip.23.2013871
Mujakir, M., Nurmalahayati, N., Safrijal, S., Salsabil, P., Fatma, E., & Zainuddin, Z. (2024). Efforts to Improve Scientific Literacy Capabilities in Indonesia: Systematic Literature Review. Online Learning In Educational Research (OLER), 4(1), 49–59. https://doi.org/10.58524/oler.v4i1.395
Novitasari, W., Herwin, H., Supartinah, S., Wulandari, P., & Budiharti, B. (2024). Number Sense Profile of Prospective Elementary School Teachers in Blended Mathematics Learning. REID (Research and Evaluation in Education), 10(1), 1–17. https://doi.org/10.21831/reid.v10i1.51394
OECD. (2019). OECD Future of Education and Skills 2030. https://www.oecd.org/content/dam/oecd/en/about/projects/edu/education-2040/1-1-learning-compass/OECD_Learning_Compass_2030_Concept_Note_Series.pdf
OECD. (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. In PISA. OECD. https://doi.org/10.1787/53f23881-en
Otaya, L. G., Yahiji, K., Rasimin, R., Rahmawati, R., Imtihan, N., & Muhamad, N. Bin. (2025). Assessment of Teachers’ Ability to Develop HOTS based Test Items: a GRM Analysis. Jurnal Ilmiah Peuradeun, 13(3), 1995–2018. https://doi.org/10.26811/peuradeun.v13i3.1555
Özaydin, Z., & Arslan, Ç. (2022). Assessment of Mathematical Reasoning Competence in Accordance with PISA 2021 Mathematics Framework. Kuramsal Eğitimbilim, 15(3), 453–474. https://doi.org/10.30831/akukeg.1027601
Pourdavood, B. R., McCarthy, K., & McCafferty, T. (2020). The Impact of Mental Computation on Children’s Mathematical Communication, Problem Solving, Reasoning, and Algebraic Thinking. Athens Journal of Education, 7(3), 241–254. https://doi.org/10.30958/aje.7-3-1
Pradana, K. C., Noer, S. H., & Sutiarso, S. (2025). Enhancing Critical Thinking in Mathematics through Android-Based Multimedia and PjBL-STEM. Online Learning In Educational Research (OLER), 5(1), 81–93. https://doi.org/10.58524/oler.v5i1.534
Ratnawulan, T., Ahmad, A. C., Effendi, Z. R., Syam, R. Z. A., & Achmad, W. (2025). Teachers’ Strategies in Developing Scientific Literacy for Children with Special Needs in Inclusive Early Childhood Education. Nazhruna: Jurnal Pendidikan Islam, 8(3), 682–698. https://doi.org/10.31538/nzh.v8i3.433
Román-González, M., & Pérez-González, J.-C. (2024). Computational Thinking Assessment: A Developmental Approach. In H. Abelson & S.-C. Kong (Eds.), Computational Thinking Curricula in K–12 (pp. 121–142). The MIT Press. https://doi.org/10.7551/mitpress/14041.003.0009
Román-González, M., Pérez-González, J.-C., Moreno-León, J., & Robles, G. (2018). Can Computational Talent be Detected? Predictive Validity of the Computational Thinking Test. International Journal of Child-Computer Interaction, 18, 47–58. https://doi.org/10.1016/j.ijcci.2018.06.004
Safkolam, R., Nuangchalerm, P., Ahmad Zaky El Islami, R., & Saleah, P. (2022). Students’ Understanding of Nature of Science in Islamic Private School. Jurnal Pendidikan Islam, 9(1), 1–14. https://doi.org/10.15575/jpi.v0i0.21308
Schleicher, A. (2019). PISA 2018: Insights and interpretations. Oecd Publishing.
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
Suarsana, I. M., Herman, T., Nurlaelah, E., Suryadi, D., Irianto, I., Jupri, A., Nandiyanto, A. B. D., & Ahzan, Z. N. (2025). Computational Thinking and Mathematical Problem Solving in Madrasah Tsanawiyah Students. Jurnal Pendidikan Islam, 12(1), 75–88. https://doi.org/10.15575/jpi.v12i1.42091
Suparman, S., Juandi, D., Turmudi, T., Martadiputra, B. A. P., & Diana, N. (2025). Assessing the Quality of Mathematics Test─ Enumeration Rules to Measure Students’ Computational Thinking Skills. 28(3), 412–428. https://doi.org/10.20961/Paedagogia.v28i3.109581
Tan, T. K. (2024). Evaluating Assessment via Item Response Theory Utilizing Information Function with R. The Quantitative Methods for Psychology, 20(1), 33–49. https://doi.org/10.20982/tqmp.20.1.p033
UNESCO. (2021). AI and Education: Guidance for Policy-Makers. UNESCO. https://doi.org/10.54675/pcsp7350
Villarreal-Lozano, R. J., Morales-Martinez, G. E., Garcia-Collantes, A., & Barrientos-Amador, M. E. (2022). Cognitive Assessment of Motivation to Perform Classroom or Online Math Tasks among Engineering Students. International Journal of Evaluation and Research in Education (IJERE), 11(4), 1903. https://doi.org/10.11591/ijere.v11i4.22008
Weintrop, D., Rutstein, D., Bienkowski, M., & McGee, S. (2021). Assessment of Computational Thinking. Computational Thinking in Education, 90–111. https://doi.org/10.4324/9781003102991-6
Yadav, A., Hong, H., & Stephenson, C. (2016). Computational Thinking for All: Pedagogical Approaches to Embedding 21st Century Problem Solving in K-12 Classrooms. TechTrends, 60(6), 565–568. https://doi.org/10.1007/s11528-016-0087-7
Ye, H., Liang, B., Ng, O. L., & Chai, C. S. (2023). Integration of Computational Thinking in K-12 Mathematics Education: A Systematic Review on CT-Based Mathematics Instruction and Student Learning. In International Journal of STEM Education, 10(1). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1186/s40594-023-00396-w
Zaeni, A., Kartono, Mulyono, & Sukestiarno, Y. L. (2025). Analysis of Higher Order Thinking Skills in a TPACK Based Flipped Classroom Supported by Dynamic Assessment. Hipotenusa: Journal of Mathematical Society, 7(2), 271–281. https://doi.org/10.18326/hipotenusa.V7I2.5554
Published
Issue
Section
License
Copyright (c) 2026 Muhammad Istiqlal, Heri Retnawati, Widihastuti Widihastuti, Desy Kumala Sari (Author)

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with this journal agree to the following terms: (1) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-ShareAlike 4.0 International License (CC-BY-SA) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal; (2) Authors are able to enter into separate, additional contractual arrangements for the non-exclusive 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; (3) Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website), as it can lead to productive exchanges, as well greater citation of published work (See The Effect of Open Access).
















