Comparative Effectiveness of ICT-Based APOS and M-APOS Learning Models on Students' Self-Efficacy Viewed from Initial Mathematical Ability
DOI:
https://doi.org/10.33394/j-ps.v13i3.16254Keywords:
APOS Learning Model, ICT, M-APOS, Self Efficacy, Student Initial AbilityAbstract
Statistics is an essential course in the curriculum of the Informatics Engineering Study Program, as it plays a crucial role in equipping students with skills in data analysis, information processing, and data-driven decision-making. However, various studies have reported that students often experience low self-efficacy in statistics, which can hinder their academic performance and engagement. This study aims to compare the effectiveness of the ICT-based APOS model and the M-APOS model on students’ self-efficacy, taking into account their Initial Mathematical Ability (IMA). The APOS theory provides the foundation for the instructional models used, while Bandura’s theory of self-efficacy underpins the construct being measured. A quasi-experimental method was employed using a 2 × 2 factorial design (treatment by level). The data analyzed were students’ scores on a validated and reliable self-efficacy questionnaire, and a two-way ANOVA was used as the analytical technique. Prerequisite tests included the Lilliefors test for normality and Levene’s test for homogeneity. The rationale for selecting the ICT-based APOS and M-APOS models lies in their potential to address cognitive and metacognitive learning challenges in mathematical thinking. The results showed that, overall, students taught using the ICT-based APOS model demonstrated higher self-efficacy than those taught with the M-APOS model. A significant interaction was found between the learning model and IMA on students’ self-efficacy. Students with high IMA who received instruction through the ICT-based APOS model exhibited greater self-efficacy than those who experienced the M-APOS model. Among students with low IMA, there was no significant difference. These findings suggest that integrating technology into constructivist learning models such as APOS can enhance students’ confidence in learning statistics, particularly for those with a strong mathematical foundation, and inform future innovations in adaptive, ability-sensitive instructional design.
References
A. K. Tsafe. (2024). Students’ Mathematics Performance via APOS Instruction and Learners’ Cognitive Ability on Mathematical Problem Solving: An Analysis. US-China Education Review A, 14(8), 545–556. https://doi.org/10.17265/2161-623x/2024.08.007
Afari, E., Eksail, F. A. A., Khine, M. S., & Alaam, S. A. (2023). Computer self-efficacy and ICT integration in education: Structural relationship and mediating effects. Education and Information Technologies, 28(9), 12021–12037. https://doi.org/10.1007/s10639-023-11679-8
Afiqah, N., Rahmayumita, R., Novriandami, A., Rahmad, M., & Yenita. (2023). Korelasi antara Tingkat Motivasi Belajar dengan Hasil Belajar Siswa Capaian Pembelajaran IPA Kelas VII SMP Machine Translated by Google. 1, 23–32.
Al-Fraihat, D., Joy, M., Masa’deh, R., & Sinclair, J. (2020). Evaluating E-learning systems success: An empirical study. Computers in Human Behavior, 102(March 2019), 67–86. https://doi.org/10.1016/j.chb.2019.08.004
Arnon, I., Cottrill, J., Dubinsky, E., & Oktaç, A. (2014). APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education. Springer.
Bandura, A. (1997). Self-efficacy: The exercise of control. New York: W.H. Freeman and Company.
Budiarti, C. D., Purwanto, S. E., & Hendriana, B. (2019). Kontribusi Model Pembelajaran M-Apos Terhadap Kemampuan Pemahaman Konsep Matematis Siswa. KALAMATIKA Jurnal Pendidikan Matematika, 4(1), 15–22. https://doi.org/10.22236/kalamatika.vol4no1.2019pp15-22
Chambers, A. W., & Harkins Monaco, E. (2023). Increasing Student Engagement with Instructor Feedback using Criteria-Based Rubrics as a tool for Self-Assessment. Journal of the Scholarship of Teaching and Learning, 23(2), 96–99. https://doi.org/10.14434/josotl.v23i2.33715
Chan, S. W., Looi, C., Kharudin, N. H., Ahmad, F., & Ismail, F. (2024). Self-Regulated Learning and Academic Achievement among University Self-Regulated Learning and Academic Achievement among University Students in Online Learning Environments. October. https://doi.org/10.37934/araset.59.2.192206
Choo, N., Fieger, P., Wells, P., & Tseng, K. (2024). The influence of prior knowledge on the self-efficacy of students enrolled in a tertiary introductory accounting course. Accounting Education, September, 1–25. https://doi.org/10.1080/09639284.2024.2405603
Damayanti, S. D., & Alwi, M. A. (2024). Hubungan antara Academic Self Efficacy dengan Motivasi Belajar Mahasiswa Fakultas Psikologi Universitas Negeri Makassar. Jurnal Penelitian Ilmu-Ilmu Sosial, 1(March), 10–17. https://doi.org/10.5281/zenodo.10806792
De Bruin, A. B. H., & van Merriënboer, J. J. G. (2017). Bridging Cognitive Load and Self-Regulated Learning Research: A complementary approach to contemporary issues in educational research. Learning and Instruction, 51(2017), 1–9. https://doi.org/10.1016/j.learninstruc.2017.06.001
Dubinsky, E., & McDonald, M. A. (2001). APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research. In The Teaching and Learning of Mathematics at University Level (pp. 275–282). Springer.
Fitriani, R., Sari, M. N., & Kurniawan, D. (2022). Validation of a Self-Efficacy Scale in Statistics Learning. Indonesian Journal of Mathematics Education, 7(1), 22–33.
Ghavifekr, S., & Rosdy, W. A. W. (2015). Teaching and learning with technology: Effectiveness of ICT integration in schools. International Journal of Research in Education and Science, 1(2), 175–191. https://doi.org/10.21890/ijres.23596
Handayani, I. (2019). Meningkatkan Kemampuan Berpikir Kritis Matematis Melalui Model Pembelajaran CORE Ditinjau Dari Kemampuan Awal Matematika. UNION: Jurnal Ilmiah Pendidikan Matematika, 7(1), 37–48. https://doi.org/10.30738/union.v7i1.3095
Handayani, I., & Noviana, W. (2020). Pengaruh Model Apos Berbasis Ict Dan Model M-Apos Terhadap Kemampuan Pemahaman Matematis Mahasiswa. Proceedings …, 5, 31–36. http://openjournal.unpam.ac.id/index.php/Proceedings/article/view/5252%0Ahttp://openjournal.unpam.ac.id/index.php/Proceedings/article/download/5252/3730
Handayani, I., & Noviana, W. (2021). Perngaruh Model Apos Berbasis Ict Dan Model M-Apos Terhadap Self Efficacy Mahasiswa. Jurnal Pendidikan Glasser, 5(1), 1. https://doi.org/10.32529/glasser.v5i1.370
Hanifah. (2017). Computer Based APOS Model In Mathematics Learning. International Conference of Applied Science on Engineering, Business, Linguistics and Information Technology (ICo-ASCNITech), October, 13–15.
Husnul, NRIH & Rusnaini, N. (2024). Developing Inclusive Learning Environments : Collaborative Learning Innovations for Students with Disabilities in Higher Education. Jurnal Kependidikan: UNDIKMA. 10(4), 1607–1619.
Husnul, N. R. I., & Nurullah, M. (2020). Analisis Pemecahan Masalah Matematika pada Blended Learning dengan Menggunakan Kemampuan Berpikir Mahasiswa di Perguruan Tinggi. Jurnal Pendidikan Matematika (JPM), 7(1), 26. https://doi.org/10.33474/jpm.v7i1.8671
Ifenthaler, D., & Yau, J. Y. K. (2020). Utilising learning analytics to support study success in higher education: A systematic review. Educational Technology Research and Development, 68, 1961–1990. https://doi.org/10.1007/s11423-020-09788-z
Lestari, K. . (2014). Penerapan Model Pembelajaran M-APOS untuk Meningkatkan Kemampuan Pemahaman Konsep dan Motivasi Belajar Kalkulus II. Universitas Terbuka.
Longe, I. O., & Maharaj, A. (2023). Applying APOS Theory to Enhance Algebraic Logic Skills: Comparing Traditional Teaching and Computer-Assisted Instruction. Indonesian Journal of Science and Mathematics Education, 6(3), 378. https://doi.org/10.24042/ijsme.v6i3.16298
Ma, A. K. F., O’Toole, J., & Keppell, M. (2008). An investigation of student teachers’ attitudes to the use of media triggered problem based learning. Australasian Journal of Educational Technology, 24(3), 311–325. https://doi.org/10.14742/ajet.1211
Masri, M. F., Suyono, S., & Deniyanti, P. (2018). Pengaruh Metode Pembelajaran Berbasis Masalah Terhadap Self-Efficacy Dan Kemampuan Pemecahan Masalah Matematis Ditinjau Dari Kemampuan Awal Matematika Siswa Sma. Jurnal Penelitian Dan Pembelajaran Matematika, 11(1). https://doi.org/10.30870/jppm.v11i1.2990
Muchtar. (2014). Penerapan Model Pembelajaran Modification-Action, Process, Object, Schema (M-APOS) Untuk Meningkatkan Kemampuan Pemahaman Konsep Matematika Siswa. Universitas Islam Negeri Syarif Hidayatullah.
Ningrum, H. U., Mulyono, Isnarto, & Wardono. (2019). Pentingnya Koneksi Matematika dan Self-Efficacy pada Pembelajaran Matematika SMA. Prisma: Prosiding Seminar Nasional Matematika, 2, 679–686.
Nst, M. B., Surya, E., & Khairani, N. (2023). Pengaruh Model Problem Based Learning Terhadap Kemampuan Pemecahan Masalah Matematika dan Self-Efficacy Siswa. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(2), 1533–1544. https://doi.org/10.31004/cendekia.v7i2.2291
Papert, S., & Harel, I. (1991). Situating constructionism. In Constructionism (pp. 1–11). Ablex Publishing.
Rahma, M. A., Nabilla, I., Khasanah, K., Asri, N. S., Nadia, I. A., & Khumaedy, A. (2024). Transformasi Dinamika Metode Konvensional ke Digital pada Pembelajaran di MA Pembangunan Jakarta. Jurnal Pendidikan Transformatif (JPT), 3(3), 1–14.
Risyiani, A. (2016). Pengaruh Strategi Pembelajaran Knowledge Sharing terhadap Kemampuan Pemahaman Matematis dan Self-Efficacy Siswa di SMPN Jakarta Utara. Universitas Negeri Jakarta.
Sani, I. N., & Arianingrum, R. (2024). The Effect of STAD-Cooperative Learning Model with Concept Maps in Promoting Students ’ Self-Efficacy and Conceptual Understanding of Thermochemistry. 8(2), 75–86.
Sani, Y. S., & Arianingrum, D. (2024). The Application of the APOS Model to Improve Self-Efficacy and Mathematical Connections. Journal of Educational Innovation, 10(2), 77–88.
Schunk, D. H., & DiBenedetto, M. K. (2020). Motivation and social-emotional learning: Theory, research, and practice. Contemporary Educational Psychology, 60, 101830. https://doi.org/10.1016/j.cedpsych.2019.101830
Shi, N. Z., He, X., & Tao, J. (2017). Understanding statistics and statistics education: A Chinese perspective. Journal of Statistics Education, 17(3). https://doi.org/10.1080/10691898.2009.11889538
Siagian, N. H. M., Rahmawati, A., Eliyawati, E., & Prima, E. C. (2024). A Case Study of Students’ Motivation in Learning Human Excretion System. Prisma Sains : Jurnal Pengkajian Ilmu Dan Pembelajaran Matematika Dan IPA IKIP Mataram, 12(1), 11. https://doi.org/10.33394/j-ps.v12i1.8513
Simbolon, R., & Koeswanti, H. D. (2020). Comparison Of Pbl (Project Based Learning) Models With Pbl (Problem Based Learning) Models To Determine Student Learning Outcomes And Motivation. International Journal of Elementary Education, 4(4), 519–529. https://ejournal.undiksha.ac.id/index.php/IJEE
Siregar, R., & Nababan, T. (2021). The Effectiveness of Multistage Sampling in Educational Research. Journal of Statistics and Methodology, 5(3), 12–20.
Stella, O., & Glory N., D. A. (2018). Statistics Self-Efficacy And Learning Styles As Predictor Of Statistics Anxiety. International Journal of Scientific Research and Management, 6(04), 240–248. https://doi.org/10.18535/ijsrm/v6i4.el06
Sukendro, S., Habibi, A., & Khaeruddin, K. (2020). Integration of ICT and the APOS Model in Mathematics Education during the Fourth Industrial Revolution. Journal of Mathematics Education and Instruction, 9(1), 1–9.
Sweller, J. (1988). Cognitive load during problem solving: Effects on learning. Cognitive Science, 12(2), 257–285.
Tomlinson, C. A. (2017). How to Differentiate Instruction in Academically Diverse Classrooms (3rd ed.). ASCD.
Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.
Williamson, S., & Paulsen - Becejac, L. (2018). The Impact of Peer Learning within a Group of International Post-graduate Students – A Pilot Study. Athens Journal of Education, 5(1), 7–27. https://doi.org/10.30958/aje.5-1-1
Yusuf, M., Herlina, D., & Fadillah, R. (2023). A Comparison of the Shapiro–Wilk and Lilliefors Tests for Small Sample Sizes. Indonesian Journal of Applied Statistics, 11(2), 89–96.
Zimmerman, B. J. (2000). Self-efficacy: An essential motive to learn. Contemporary Educational Psychology, 25(1), 82–91. https://doi.org/10.1006/ceps.1999.1016
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