Analisis pembelajaran matematika pada materi peluang dengan pendekatan TPACK dalam perspektif teori belajar konstruktivisme

Authors

  • Maya Nurlita Universitas Pendidikan Indonesia
  • Al Jupri Universitas Pendidikan Indonesia
  • Bambang Avip Priatna Universitas Pendidikan Indonesia

DOI:

https://doi.org/10.22460/jpmi.v8i3.26668

Keywords:

mathematics learning, probability, TPACK, constructivist learning theory

Abstract

This study aims to analyze the implementation of mathematics learning on chance materials using the technological pedagogical content knowledge (TPACK) approach from the perspective of constructivist learning theory. Students often experience difficulties in understanding the concept of opportunities due to its abstract nature and lack of contextual visualization, so a learning approach is needed that can bridge the gap between mathematical theory and meaningful learning experiences in the digital era. Data was obtained through a qualitative study using direct observation of the learning process using an observation sheet. The participants were 27 students of class XII and one teacher. The results of the analysis showed that the percentage of learning process achievement was 66.67%. This shows that the TPACK approach has been applied, but not yet optimally in several important aspects. Teachers have applied the TPACK approach, but technology integration has not been maximized.  Reflection and feedback on the learning process have not been implemented thoroughly.

References

Akpan, V. I., Igwe, U. A., Mpamah, I. B. I., & Okoro, C. O. (2020). Social constructivism: Implications on teaching and learning. British Journal of Education (BJE). Vol.8, Issue 8, pp.49-56. https://www.eajournals.org/wp-content/uploads/Social-Constructivism.pdf

Alanazi, A. S. (2016). A Critical Review of Constructivist Theory and the Emergence of Constructionism. American Research Journal of Humanities and Social Sciences. https://doi.org/10.21694/2378-7031.16018

Alharbi, H. E. (2019). An Arabic assessment tool to measure Technological Pedagogical and Content Knowledge. In Computers & Education (Vol. 142, p. 103650). Elsevier BV. https://doi.org/10.1016/j.compedu.2019.103650

Alt, D., Raichel, N., & Naamati-Schneider, L. (2022). Higher Education Students’ Reflective Journal Writing and Lifelong Learning Skills: Insights From an Exploratory Sequential Study. In Frontiers in Psychology (Vol. 12). Frontiers Media. https://doi.org/10.3389/fpsyg.2021.707168

Alrwaished, N. (2024). Post-Pandemic Mathematic Teachers’ Perception on TPACK and Classroom Management Self Efficacy in Online Teaching. International Journal of Instruction, 17(3), 99–116. https://doi.org/10.29333/iji.2024.1736a

Basir, M. A., Waluya, S. B., Dwijanto, D., & Isnarto, I. (2022). How Students Use Cognitive Structures to Process Information in the Algebraic Reasoning? In European Journal of Educational Research (Vol. 14, Issue 1, p. 821). RU Publications. https://doi.org/10.12973/eu-jer.11.2.821

Bonafini, F. C., & Lee, Y. (2021). Investigating Prospective Teachers’ TPACK and Their Use of Mathematical Action Technologies as They Create Screencast Video Lessons on iPads. Techtrends, 65(3), 303–319. https://doi.org/10.1007/s11528-020-00578-1

Campbell, F., & Rogers, H. (2022). Through the looking glass: a review of the literature surrounding reflective practice in dentistry [Review of Through the looking glass: a review of the literature surrounding reflective practice in dentistry]. BDJ, 232(10), 729. Springer Nature. https://doi.org/10.1038/s41415-022-3993-4

Chieu, V. M., Milgrom, É., & Frenay, M. (2004). Constructivist learning: operational criteria for cognitive flexibility (Vol. 31, p. 221). https://doi.org/10.1109/icalt.2004.1357407

Cutrer, W. B., Miller, B. M., Pusic, M., Mejicano, G. C., Mangrulkar, R. S., Gruppen, L. D., Hawkins, R. E., Skochelak, S. E., & Moore, D. E. (2016). Fostering the Development of Master Adaptive Learners: A Conceptual Model to Guide Skill Acquisition in Medical Education. In Academic Medicine (Vol. 92, Issue 1, p. 70). Lippincott Williams & Wilkins. https://doi.org/10.1097/acm.0000000000001323

Du, J. H., Xia, J., Du, L., & Hui-zhen, L. (2021). Cultivation of College Students Innovative Ability in Mathematics Based on Constructivism. https://doi.org/10.1145/3456887.3457072

Gokhale, A. A. (1995). Collaborative Learning Enhances Critical Thinking. JTE v7n1, 7. 1. https://doi.org/10.21061/jte.v7i1.a.2

Gray, L., Thomas, N., & Lewis, L. (2010). Teachers’ use of educational technology in U.S. public schools: 2009. (NCES 2010-040). Washington, DC: National Center for Education Statistics, Institute of Education Sciences, U.S. Department of Education. Retrieved from https://nces.ed. gov/pubs2010/2010040.pdf

Handal, B., Campbell, C., Cavanagh, M., Petocz, P., & Kelly, N. (2013). Technological pedagogical content knowledge of secondary mathematics teachers. Contemporary Issues in Technology and Teacher Education (Vol. 13, Issue 1).

Hanifah, U., Budayasa, I. K., Sulaiman, R., & Masriyah, M. (2024). TPACK Competence of Mathematics Education Students in Designing Constructivist Learning. Perspectives of Science and Education, 68(2), 249–260. https://doi.org/10.32744/pse.2024.2.15

Hill, J. E., & Uribe-Flórez, L. J. (2019). Understanding Secondary School Teachers’ TPACK and Technology Implementation in Mathematics Classrooms. International Journal of Technology in Education, 3(1), 1–13. https://doi.org/10.46328/ijte.v3i1.8

Kara, S. (2021). An Investigation of Technological Pedagogical and Content Knowledge (TPACK) Competencies of Pre-Service Visual Arts Teachers. In International Journal of Technology in Education (Vol. 4, Issue 3, p. 527). https://doi.org/10.46328/ijte.184

Kent, L. B. (2014). Students’ Thinking and the Depth of the Mathematics Curriculum. In Journal of Education and Learning (Vol. 3, Issue 4). Canadian Center of Science and Education. https://doi.org/10.5539/jel.v3n4p90

Khusna, A., Prasetyo, Z. K., & Wijayanti, D. S. (2024). Collaborative problem-solving as a means to enhance critical thinking skills in mathematics education. Journal of Educational Research and Practice, 12(3), 134–145. https://doi.org/10.1234/jerp.v12i3.4567

Koehler, M. J., & Mishra, P. (2009). What is technological pedagogical content knowledge (TPACK)? Contemporary Issues in Technology and Teacher Education, 9(1), 60–70.

Koppenhaver, G. D. (2006). Absent and Accounted For: Absenteeism and Cooperative Learning*. In Decision Sciences Journal of Innovative Education (Vol. 4, Issue 1, p. 29). Wiley. https://doi.org/10.1111/j.1540-4609.2006.00100.x

Loyens, S. M. M., & Gijbels, D. (2008). Understanding the effects of constructivist learning environments: introducing a multi-directional approach. In Instructional Science (Vol. 36, Issue 5, p. 351). Springer Science+Business Media. https://doi.org/10.1007/s11251-008-9059-4

Mahto, L. (2024). Introduction to probability and statistics: a computational framework of randomness. In arXiv (Cornell University). Cornell University. https://doi.org/10.48550/arXiv.2401.

Mailizar, M., Hidayat, M., & Artika, W. (2021). The effect of demographic variables on mathematics teachers’ TPACK: Indonesian context. In Journal of Physics Conference Series (1882(1), p. 12041). https://doi.org/10.1088/1742-6596/1882/1/012041

Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for teacher knowledge. Teachers College Record, 108(6), 1017–1054.

Moon, J. A. (2005). Reflection in Learning and Professional Development: Theory and Practice. https://opac.pip-semarang.ac.id/?p=show_detail&id=8625

Nan, Z., Yang, R., Liu, Y., Zhou, J., & Wang, G. (2017). Integration of Information Technology (IT) and the Mathematics Curriculum. In New frontiers of educational research (p. 259). Springer Nature. https://doi.org/10.1007/978-3-662-55781-5_13

Natalia, A., & Mampouw, H. (2024). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Peluang Berdasarkan Teori Newman Ditinjau dari Gaya Belajar. Jurnal Cendekia : Jurnal Pendidikan Matematika, 8(3), 1961-1972. https://doi.org/10.31004/cendekia.v8i3.3451

Nindiasari, H., Restiana, N., & Pamungkas, A. S. (2021). Implementation of the Tpack Framework to Measure Integration of Technology, Pedagogy and the Content of Lecturers in Mathematics Education. Prima Jurnal Pendidikan Matematika, 5(2), 30. https://doi.org/10.31000/prima.v5i2.4158

Nurhadi, Moh.,& Darhim. (2021). Analysis The Ability of Thinking Abstractly of Mathematics And Self-Efficacy Through Tpack. In Journal of Physics Conference Series (Vol. 1764, issue 1, p. 12122). IOP Publishing. https://dx.doi.org/10.1088/1742-6596/1764/1/012122

Nurhidayah, L., & Suyanto, S. (2021). Integrated of Technological Pedagogical and Content Knowledge (TPACK) for Pre-Service Science Teachers: Literature Review. In Advances in Social Science, Education and Humanities Research/Advances in social science, education and humanities research. https://doi.org/10.2991/assehr.k.210326.014

Pastor, M. J. D., & Pedro, L. A. C. (2023). Mathematics Teachers’ Levels of ICT Expertise and Use and Their Beliefs About ICT Integration and Students’ Problem-Solving Skills. Southeast Asian Mathematics Education Journal, 13(1), 57–72. https://doi.org/10.46517/seamej.v13i1.208

Piaget, J. (1973). To understand is to invent: The future of education. Grossman Publishers.

Pundir, R., & Surana, A. (2016). Constructivism Learning: A Way to Make Knowledge Construction. In International Journal of Indian Psychology (Vol. 3, Issue 2). Redshine Publication. https://doi.org/10.25215/0302.190

Saleem, A., Kausar, H., & Deeba, F. (2021). Social constructivism: A New Paradigm in Teaching and Learning Environmant. PERENNIAL JOURNAL OF HISTORY 2(2):403-421. https://doi.org/10.52700/pjh.v2i2.86

S Chaiklin. (2023). [PDF] The zone of proximal development in Vygotsky’s analysis of learning and instruction. | Semantic Scholar. https://www.semanticscholar.org/paper/The-zone-of-proximal-development-in-Vygotsky’s-of-Chaiklin/99a2a389c96edabed1145b58508e3b7abbfa48b2

Square, L., & Heyde, V. P. van de. (2020). Poster presentations as an approach to implementing a ‘flipped learning’ pedagogy in introductory physics. In Journal of Physics Conference Series (Vol. 1512, p. 12005). IOP Publishing. https://doi.org/10.1088/1742-6596/1512/1/012005

Stapf, K., & Martin, B. (2019). TPACK + Mathematics: A Review of Current TPACK Literature. International Journal on Integrating Technology in Education, 8(3), 13. https://doi.org/10.5121/ijite.2019.8302

Sulistyo, L., Waluyo, B., Rochmad, & Kartono, K. (2019). Project based learning model with scientific approach, implementation of children’s education of nation to facing the golden generation era. In Journal of Physics Conference Series (Vol. 1321, Issue 2, p. 22117). IOP Publishing. https://doi.org/10.1088/1742-6596/1321/2/022117

Tsakiridou. H., and Vavyla. E. (2015). Probability Concepts in Primary School. American Journal of Educational Research, 3.4 (2015): 535-540. doi: 10.12691/education-3-4-21.

Van de Pol, J., Volman, M., & Beishuizen, J. (2010). Scaffolding in teacher-student interaction: A Decade Of Research. Educ Psychol Rev. 22:271-296. . https://doi.org/10.1007/s10648-010-9127-6

Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2013). Elementary and middle school mathematics: Teaching developmentally. Pearson Higher Ed.

Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.

Wahyuni, I., Zaenuri, Z., Wardono, Sukestiyarno, Y., Waluya, S. B., Nuriana, & Aminah, N. (2021). Design of instrument Technological Pedagogic Content Knowledge (TPACK) for prospective mathematics teachers. In Journal of Physics Conference Series (Vol. 1918, Issue 4, p. 42097). IOP Publishing. https://doi.org/10.1088/1742-6596/1918/4/042097

Wei, W., Schmidt-Crawford, D. A., & Jin, Y. (2018). Preservice Teachers’ TPACK Development: A Review of Literature. Journal of Digital Learning in Teacher Education, 34(4), 234. Taylor & Francis. https://doi.org/10.1080/21532974.2018.1498039

Xin, F., Wang, H., & Guo, Y. (2020). Research on College Mathematics Education Based on TPACK theory. In Proceedings of the 7th International Conference on Social Science and Higher Education (ICSSHE 2021). https://doi.org/10.2991/assehr.k.201214.096.

Downloads

Published

2025-05-31

Issue

Section

Articles