Keefektifan Scaffolding Berorientasi Keterampilan Berpikir Tingkat Tinggi pada Perkuliahan Fungsi Variabel Kompleks

Michael Christian Simanullang, Marojahan Panjaitan, Nurliani Manurung

Abstract


Effective learning becomes crucial to ensure that students can master higher-order thinking skills (HOTS), especially in the Complex Variable Functions course, which is one of the subjects requiring a deep understanding of abstract mathematical concepts and principles. The implementation of scaffolding in learning is one alternative to assist students in abstracting and constructing mathematical concepts and principles. This research aims to describe the effectiveness of implementing scaffolding oriented towards HOTS in Complex Variable Functions lectures. This research is a descriptive quantitative study conducted in the Mathematics Education study program at Universitas Negeri Medan, involving 46 sixth-semester students in the 2022-2023 academic year who were taking the Complex Variable Function course. The instruments used in this research were: 1) an expert assessment sheet on the effectiveness of scaffolding use; 2) a higher-order thinking skills test; 3) an observation sheet on learning time allocation; and 4) a student response questionnaire. The research results indicate that 1) the effectiveness of learning using HOTS-Oriented Scaffolding, based on expert assessments of theoretical mastery and experience, indicates that HOTS-Oriented Scaffolding can be effectively applied in mathematics learning in the classroom, meeting high criteria; 2) the effectiveness of learning using HOTS-Oriented Scaffolding, based on field data, includes a) high criteria for achieving higher-order thinking skills among students, b) high criteria for time allocation achievement, and c) an 86.33% percentage of students providing a positive response to learning components and activities. The results of this study indicate that the implementation of scaffolding has been proven effective in enhancing students' higher-order thinking skills. These findings can serve as a foundation for lecturers to adopt similar strategies in the learning process, both in curriculum design and in formulating policies to integrate interactive learning methods into courses within the analysis discipline.

 

Keywords: Effectiveness of Learning, Scaffolding, Higher-Order Thinking Skills, Complex Variable Functions

 

Abstrak

Pembelajaran yang efektif menjadi krusial untuk memastikan bahwa mahasiswa dapat menguasai keterampilan berpikir tingkat tinggi, khususnya paada mata kuliah Fungsi Variabel Kompleks yang merupakan salah satu mata kuliah yang memerlukan pemahaman mendalam terhadap konsep dan prinsip matematis abstrak. Penerapan scaffolding daalam pembelajaran merupakan salah satu alternatif untuk membantu mahasiswa melakukan absraksi dan mengkonstruksi konsep dan prinsip matematis. Penelitian ini bertujuan untuk mendeskripsikan keefektifan penerapan scaffolding berorientasi pada keterampilan berpikir tingkat tinggi (scaffolding berorientasi HOTS) mahasiswa pada perkuliahan Fungsi Variabel Kompleks. Penelitian ini merupakan penelitian kuantitatif deskriptif yang dilaksanakan pada program studi pendidikan matematika Universitas Negeri Medan, yaitu pada 46 mahasiswa semester VI Tahun Ajaran 2022-2023 yang sedang mengikuti mata kuliah Fungsi Variabel Kompleks. Instrumen yang digunakan dalam penelitian ini adalah 1) lembar penilaian ahli tentang keefektifan penggunaan scaffolding, 2) tes keterampilan berpikir tingkat tinggi, 3) lembar observasi penggunaan waktu pembelajaran, dan 4) angket respon mahasiswa. Hasil penelitian menujukkan bahwa 1) keefektifan pembelajaran menggunakan scaffolding berorientasi HOTS ditinjau dari penilaian ahli berdasarkan penguasaan teori dan pengalamannya menyatakan scaffolding berorientasi HOTS dapat diterapkan secara efektif dalam pelaksanaan pembelajaran matematika di kelas berada pada kriteria tinnggi, 2) keefektifan pembelajaran menggunakan scaffolding berorientasi HOTS ditinjau dari data lapangan, yaitu a) kriteria pencapaian keterampilan berpikir tingkat tinggi mahasiswa berada pada kriteria tinggi, b) kriteria pencapaian penggunaan waktu pembelajaran berada pada kriteria tinggi, dan c) persentase banyak mahasiswa yang memberikan respon positif terhadap komponen dan kegiatan pembelajaran adalah sebesar 86.33%. Hasil penelitian ini mengindikasikan bahwa penerapan scaffolding terbukti efektif dalam meningkatkan keterampilan berpikir tingkat tinggi mahasiswa. Temuan ini dapat dijadikan sebagai landasan bagi dosen dalam mengadopsi strategi serupa dalam proses pembelajaran, baik dalam perancangan kurikulum maupun dalam merumuskan kebijakan untuk mengintegrasikan metode pembelajaran interaktif pada mata kuliah dalam rumpun analisis.

 

Kata kunci: Keefektifan Pembelajaran, Scaffolding, Keterampilan Berpikir Tingkat Tinggi, Fungsi Variabel Kompleks


Full Text:

PDF

References


Bakker, A., Smit, J., & Wegerif, R. (2015). Scaffolding and dialogic teaching in mathematics education: introduction and review. ZDM - Mathematics Education, 47(7), 1047–1065. https://doi.org/10.1007/s11858-015-0738-8

Çibukçiu, B. (2025). The impact of constructivist methods on students’ mathematical problem-solving. Discover Education, 4(83). https://doi.org/10.1007/s44217-025-00475-w

Dassa, A., Ihsan, H., Nasir, N., & Nurhajarurahmah, S. Z. (2024). Teachers ’ Perceptions of the Implementation of Scaffolding-Metacognitive Strategies in Mathematics Learning. JIPM (Jurnal Ilmiah Pendidikan Matematika), 13(2), 58–66. https://doi.org/10.25273/jipm.v13i1.21280

DiNapoli, J., & Miller, E. K. (2022). Recognizing, supporting, and improving student perseverance in mathematical problem-solving: The role of conceptual thinking scaffolds. Journal of Mathematical Behavior, 66(May), 100965. https://doi.org/10.1016/j.jmathb.2022.100965

Doo, M. Y., Bonk, C. J., & Heo, H. (2020). A meta-analysis of scaffolding effects in online learning in higher education. International Review of Research in Open and Distributed Learning, 21(3), 60–80. https://doi.org/10.19173/irrodl.v21i3.4638

Hasratuddin. (2015). Mengapa Harus Belajar Matematika? Perdana Mulya Sarana.

Huang, X., Lo, C. K., He, J., Xu, S., & Kinshuk. (2024). Scaffolding-informed design of open educational resources in Chinese secondary school mathematics: insights from multi-cycle formative evaluation. Smart Learning Environments, 11(49). https://doi.org/10.1186/s40561-024-00337-2

Keiler, L. S. (2018). Teachers’ roles and identities in student-centered classrooms. International Journal of STEM Education, 5(1). https://doi.org/10.1186/s40594-018-0131-6

Mathé, N. E. H., & Christensen, A. S. (2024). Show and tell: scaffolding practices in lower secondary social science classrooms. Journal of Curriculum Studies, 00(00), 1–20. https://doi.org/10.1080/00220272.2024.2378315

Minarni, A., & Napitupulu, E. E. (2020). The Role of Constructivism-Based Learning in Improving Mathematical High Order Thinking Skills of Indonesian Students. Infinity Journal, 9(1), 111–132. https://doi.org/10.22460/infinity.v9i1.p111-132

Murphy, C., Muir, T., & Thomas, D. (2025). Scaffolding Collaboration in Early Years Mathematics: A Practice-Based Case Study in Teaching Multiplicative Grouping. Early Childhood Education Journal. https://doi.org/10.1007/s10643-025-01928-5

Nieveen, N. (1999). Prototyping to Reach Product Quality. In J. Van den Akker, R. M. Branch, K. Gustafson, N. Nieveen, & T. Plomp (Eds.), Design Approaches and Tools in Education and Training (Vol. 1, pp. 125–135). Springer Science+Business Media.

Nisdawati, N., & Handican, R. (2022). Systematic Literature Review: Apakah model Problem Based Learning mampu meningkatkan kemampuan pemecahan masalah matematis? Mathematic Education And Aplication Journal (META), 4(2), 88–97. https://doi.org/10.35334/meta.v4i2.3305

Nurhidayat, W., Surahman, E., & Sujarwanto, E. (2023). The Effect of Conceptual Understanding Procedures Learning Model on Students’ Higher Level Thinking Skills. JPI (Jurnal Pendidikan Indonesia), 12(2), 386–394. https://doi.org/10.23887/jpiundiksha.v12i2.58709

Nursyam, N., Herna, H., & Aprisal, A. (2023). Creative Problem Solving: Apakah Efektif Meningkatkan Kemampuan Pemecahan Masalah Matematika Peserta Didik? Mathematics Education And Application Journal (META), 5(1), 31–42. https://doi.org/10.35334/meta.v5i1.4362

Pakpahan, N., Kamid, K., & Muhammad, D. (2025). Enhancing mathematical concept understanding: The influence of scaffolding in team-assisted individualization based on self-regulation. 08(1), 41–53. https://doi.org/10.24042/ijsme.v8i1.23481

Prananto, K., Cahyadi, S., Lubis, F. Y., & Hinduan, Z. R. (2025). Perceived teacher support and student engagement among higher education students - a systematic literature review. BMC Psychology, 13(1), 112. https://doi.org/10.1186/s40359-025-02412-w

Reigeluth, C. M., Myers, R. D., & Lee, D. (2017). The Learner-Centered Paradigm of Education. In C. M. Reigeluth, B. J. Beatty, & R. D. Myers (Eds.), Instructional-Design Theories and Models: The Learner-Centered Paradigm of Education (Vol. 4, pp. 351–383). Routledge Taylor and Francis Group.

Richardson, J. C., Caskurlu, S., Castellanos-Reyes, D., Duan, S., Duha, M. S. U., Fiock, H., & Long, Y. (2022). Instructors’ conceptualization and implementation of scaffolding in online higher education courses. Journal of Computing in Higher Education, 34(1), 242–279. https://doi.org/10.1007/s12528-021-09300-3

Sharkins, K., Newton, A., Causey, C., & Ernest, J. M. (2017). Flipping theory: Ways in which children’s experiences in the 21st century classroom can provide insight into the theories of Piaget and Vygotsky. Southeast Asia Early Childhood Journal, 6, 11–18. https://doi.org/10.37134/saecj.vol6.2.2017

Simanjuntak, D. A., Makmuri, M., & Rahayu, W. (2021). Problem-based learning: Its effect on higher-order mathematical thinking skills in terms of student’s initial abilities and mathematical beliefs. Al-Jabar: Jurnal Pendidikan Matematika, 12(2), 457–466. https://doi.org/10.24042/ajpm.v12i2.10137

Simanullang, M. C. (2018). Pengembangan Model Pembelajaran Pendidikan Matematika Realistik (PMR) untuk Meningkatkan Kecerdasan Triarkis dan Kemandirian Belajar Siswa Kelas VII SMP Sutomo 1 Medan [Universitas Negeri Medan]. https://digilib.unimed.ac.id/id/eprint/30698/

Slavin, R. E. (2018). Educational Psychology: Theory and Practice (12th ed.). Pearson Education, Inc.

Sukatiman, Akhyar, M., Siswandari, & Roemintoyo. (2020). Enhancing Higher-Order Thinking Skills in Vocational Education through Scaffolding-Problem Based Learning. Open Engineering, 10(1), 612–619. https://doi.org/10.1515/eng-2020-0070

Taber, K. S. (2018). Scaffolding learning: Principles for effective teaching and the design of classroom resources. Effective Teaching and Learning: Perspectives, Strategies and Implementation, September 2018, 1–44.

Van den Akker, J. (1999). Principles and Methods of Development Research. In J. Van den Akker, R. M. Branch, K. Gustafson, N. Nieveen, & T. Plomp (Eds.), Design Approaches and Tools in Education and Training (p. 10). Springer Science+Business Media.

Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes (M. Cole, V. Jolm-Steiner, S. Scribner, & E. Souberman (eds.)). Harvard University Press. https://doi.org/10.2307/j.ctvjf9vz4

Wood, D., Bruner, J. S., & Ross, G. (1976). the Role of Tutoring in Problem Solving. Journal of Child Psychology and Psychiatry, 17(2), 89–100. https://doi.org/10.1111/j.1469-7610.1976.tb00381.x

Yin, Z., & Xiang, W. (2024). An Exploration of Cultivating Students’ Creative Thinking in Teaching Functions of Complex Variables. Contemporary Education and Teaching Research, 5(3), 109–114. https://doi.org/10.61360/bonicetr242015940303

Zhang, J., Zhou, Y., Jing, B., Pi, Z., & Ma, H. (2024). Metacognition and Mathematical Modeling Skills: The Mediating Roles of Computational Thinking in High School Students. Journal of Intelligence, 12(6). https://doi.org/10.3390/jintelligence12060055




DOI: https://doi.org/10.35334/meta.v6i2.6150

Refbacks

  • There are currently no refbacks.


Copyright (c) 2025 Michael Christian Simanullang, Marojahan Panjaitan, Nurliani Manurung

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Publisher : Jurusan Pendidikan Matematika Universitas Borneo Tarakan


Mailing Address :

Mathematics Education and Application Journal (META)
Faculty Teaching and Learning Education, Borneo Tarakan University
Jl. Amal Lama No 1, Tarakan 50275, Indonesia
E-Mail : metajournalubt@gmail.com
Web : http://jurnal.borneo.ac.id/index.php/meta
Telp : 085250104307 (Azwar Anwar) Faks. (0551) 2052558

 

 Creative Commons License

Mathematics Education and Application Journal by http://jurnal.borneo.ac.id/index.php/meta is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.