Developing and Validating a Cognitive Load Theory-Based Mathematics Learning Model for Junior High School Students

Mukhlas Triono; Hamzah Upu; Sabri

doi:10.55927/ijis.v5i10.94

Authors

Mukhlas Triono Universitas Negeri Makassar
Hamzah Upu Universitas Negeri Makassar
Sabri Universitas Negeri Makassar

DOI:

https://doi.org/10.55927/ijis.v5i10.94

Keywords:

Cognitive Load Theory, Mathematics Learning Model, Junior High Schoo, Learning Model Development, Expert Validation

Abstract

This study aimed to develop and validate a Cognitive Load Theory (CLT)-Based Mathematics Learning Model for Junior High School Students. The study employed Educational Design Research (EDR) based on the Plomp model, comprising preliminary research, development, and assessment phases. The development process integrated CLT principles into instructional sequencing, worked examples, scaffolding, guided practice, and gradual reduction of instructional support. The resulting model consisted of five stages: Schema Activation, Bridging–Worked Example Effect, Guided Practice, Fading Guidance, and Reflection, Evaluation, and Feedback. The model and its supporting materials were validated by two mathematics education experts using a five-point validation scale. The results showed that the learning model achieved a Very Valid category (M = 3.9; PoA = 97%). The supporting materials, including the model book, teaching module, textbook, and student worksheets, also achieved the Very Valid category, with mean scores ranging from 4.3 to 4.6. The validation instruments likewise demonstrated very high validity. The findings indicate that the developed model is theoretically coherent and suitable for junior high school mathematics learning after expert-recommended revisions

References

Aeni, P. N., Nurus Sopiany, H., & Azizah, N. (2022). Extraneous Cognitive Load as a Moderator of the Correlation Between Mathematical Literacy and Mathematical Reasoning in Indonesian Junior High School Mathematics. 8(2). https://doi.org/10.31949/dm.v8i2.18674

Aini, R. N., & Retnowati, E. (2023). Apakah pembelajaran diferensiasi mengakibatkan cognitive load tinggi? Jurnal Pengembangan Pembelajaran Matematika, 5(2), 88–102. https://doi.org/10.14421/jppm.2023.52.88-102

Akker, J. van den, Bannan, B., Kelly, A. E., Nieveen, N., & Plomp, T. (2013). Educational Design Research: Part A: An Introduction. SLO.

Andersen, S. A. W., Mikkelsen, P. T., Konge, L., Cayé-Thomasen, P., & Sørensen, M. S. (2016). The effect of implementing cognitive load theory-based design principles in virtual reality simulation training of surgical skills: a randomized controlled trial. Advances in Simulation, 1(1), 20. https://doi.org/10.1186/s41077-016-0022-1

Arsyad, N. (2016). Model Pembelajaran Menumbuh Kembangkan Kemampuan Metakognisi Publisher Pustaka Refleksi City Makassar Edition kosong. Pustaka Refleksi.

Basir, M. A., & Maharanib, H. R. (2018). Cognitive load in working memory on trigonometry Learning. Unnes Journal of Mathematics Education, 7(2), 85–89. https://doi.org/10.15294/ujme.v7i2.25366

Borahima, D. Q. P. M., & Endah Retnowati. (2023). Pengaruh pendekatan faded example secara kolaboratif terhadap kemampuan pemecahan masalah dan cognitive load. Jurnal Pengembangan Pembelajaran Matematika, 5(2), 103–116. https://doi.org/10.14421/jppm.2023.52.103-116

Borich, G. D. (2016). Observation Skills for Effective Teaching. Routledge. https://doi.org/10.4324/9781315633206

Chandler, P., & Sweller, J. (1991). Cognitive Load Theory and the Format of Instruction. Cognition and Instruction, 8(4), 293–332. https://doi.org/10.1207/s1532690xci0804_2

CHANDLER, P., & SWELLER, J. (1992). THE SPLIT‐ATTENTION EFFECT AS A FACTOR IN THE DESIGN OF INSTRUCTION. British Journal of Educational Psychology, 62(2), 233–246. https://doi.org/10.1111/j.2044-8279.1992.tb01017.x

Chen, O., Retnowati, E., Chan, B. K. Y., & Kalyuga, S. (2023). The effect of worked examples on learning solution steps and knowledge transfer. Educational Psychology, 43(8), 914–928. https://doi.org/10.1080/01443410.2023.2273762

de Jong, T. (2010). Cognitive load theory, educational research, and instructional design: some food for thought. Instructional Science, 38(2), 105–134. https://doi.org/10.1007/s11251-009-9110-0

Gupta, U., & Zheng, R. Z. (2020). Cognitive Load in Solving Mathematics Problems: Validating the Role of Motivation and the Interaction Among Prior Knowledge, Worked Examples, and Task Difficulty. European Journal of STEM Education, 5(1), 05. https://doi.org/10.20897/ejsteme/9252

Hariri, D. D., & Kania, N. (2025). Mapping Critical Thinking Skills through Newman’s Error Analysis in Secondary Students’ Problem-Solving. Jurnal Pendidikan MIPA, 26(3), 1464–1478. https://doi.org/10.23960/jpmipa.v26i3.pp1464-1478

Irwansyah, M. F., & Retnowati, E. (2019). Efektivitas worked example dengan strategi pengelompokan siswa ditinjau dari kemampuan pemecahan masalah dan cognitive load. Jurnal Riset Pendidikan Matematika, 6(1), 62–74. https://doi.org/10.21831/jrpm.v6i1.21452

Kotsopoulos, D., & Lee, J. (2012). A naturalistic study of executive function and mathematical problem-solving. The Journal of Mathematical Behavior, 31(2), 196–208. https://doi.org/10.1016/j.jmathb.2011.12.005

Lazonder, A. W., & Harmsen, R. (2016). Meta-Analysis of Inquiry-Based Learning. Review of Educational Research, 86(3), 681–718. https://doi.org/10.3102/0034654315627366

Mahyastuti, I., Dwiyana, D., & Hidayanto, E. (2021). Kemampuan Berpikir Analitis Siswa dalam Memecahkan Masalah Matematis. Jurnal Pendidikan Matematika Dan Sains, 8(1), 1–6. https://doi.org/10.21831/jpms.v8i1.19644

Mardapi, D., & Setiawan, A. (2008). Teknik Penyusunan Instrumen Tes dan Nontes. Mitra Cendekia Press.

Ngu, B. H., & Phan, H. P. (2024). Instructional approach and acquisition of mathematical proficiency: Theoretical insights from learning by comparison and cognitive load theory. Asian Journal for Mathematics Education, 3(3), 357–379. https://doi.org/10.1177/27527263241266765

Nuryadi, N., & Khuzaini, N. (2017). KEEFEKTIFAN MEDIA MATEMATIKA VIRTUAL BERBASIS TEAMS GAME TOURNAMENT DITINJAU DARI COGNITIVE LOAD THEORY. Jurnal Mercumatika : Jurnal Penelitian Matematika Dan Pendidikan Matematika, 2(2). https://doi.org/10.26486/jm.v2i2.370

Paas, F., Renkl, A., & Sweller, J. (2004). Cognitive Load Theory: Instructional Implications of the Interaction between Information Structures and Cognitive Architecture. Instructional Science, 32(1–2), 1–8. https://doi.org/10.1023/B:TRUC.0000021806.17516.d0

Paas, F., van Gog, T., & Sweller, J. (2010). Cognitive Load Theory: New Conceptualizations, Specifications, and Integrated Research Perspectives. Educational Psychology Review, 22(2), 115–121. https://doi.org/10.1007/s10648-010-9133-8

Pangesti, F. T. P., & Retnowati, E. (2017). Pengembangan bahan ajar geometri SMP berbasis cognitive load theory berorientasi pada prestasi belajar siswa. PYTHAGORAS: Jurnal Pendidikan Matematika, 12(1), 33. https://doi.org/10.21831/pg.v12i1.14055

Rahmayanie, A. M., Afiffah, A. V, Anggraini, I. D., Hermawan, H. D., Mukhlasin, L., & Kurniawan, D. (2022). Efektivitas Digital Marketing Sebagai Alternatif Pengembangan Strategi Marketing Di Konveksi BUMDes. Buletin KKN Pendidikan, 4(2), 123–132. https://doi.org/10.23917/bkkndik.v4i2.19186

Ramli, I., Maat, S., & Khalid, F. (2023). Learning mathematics in the new norms caused by digital game-based learning and learning analytics. Pegem Journal of Education and Instruction, 13(1). https://doi.org/10.47750/pegegog.13.01.19

Rofiq, A., Sudirman, S., & Muksar, M. (2026). Students’ Cognitive Load in Understanding Linear Equation in One Variable. JTAM (Jurnal Teori Dan Aplikasi Matematika), 10(2), 453. https://doi.org/10.31764/jtam.v10i2.36034

Rozi, F., & Retnowati, E. (2025). SPLIT-ATTENTION DAN PENGARUHNYA DALAM VIDEO PEMBELAJARAN MATEMATIKA TERHADAP PEMAHAMAN KONSEP MATEMATIS KOORDINAT KARTESIUS DAN COGNITIVE LOAD SISWA KELAS VIII. 11(2), 89–104. https://doi.org/10.21831/jpm.v11i2.19419

Russo, J. A., & Hopkins, S. L. (2017). CLASS challenging tasks: Using cognitive Load theory to inform the design of challenging mathematical tasks. Australian Primary Mathematics Classroom, 22, 21–27. https://api.semanticscholar.org/CorpusID:65320636

Sweller, J. (2010). Element Interactivity and Intrinsic, Extraneous, and Germane Cognitive Load. Educational Psychology Review, 22(2), 123–138. https://doi.org/10.1007/s10648-010-9128-5

Sweller, J., van Merriënboer, J. J. G., & Paas, F. (2019). Cognitive Architecture and Instructional Design: 20 Years Later. Educational Psychology Review, 31(2), 261–292. https://doi.org/10.1007/s10648-019-09465-5

Sweller, J., van Merrienboer, J. J. G., & Paas, F. G. W. C. (1998). Cognitive Architecture and Instructional Design. Educational Psychology Review, 10(3), 251–296. https://doi.org/10.1023/A:1022193728205

van Gog, T., Paas, F., & Sweller, J. (2010). Cognitive Load Theory: Advances in Research on Worked Examples, Animations, and Cognitive Load Measurement. Educational Psychology Review, 22(4), 375–378. https://doi.org/10.1007/s10648-010-9145-4

Waluyo, B., & Hendrayana, A. (2024). MANAGEMENT OF COGNITIVE LOAD ON STUDENT’S MATHEMATICAL PROFICIENCY AT SMP NEGERI 20 KOTA SERANG. SIGMA: JURNAL PENDIDIKAN MATEMATIKA, 16(1), 46–59. https://doi.org/10.26618/sigma.v16i1.14560

Young, J. Q., Van Merrienboer, J., Durning, S., & Ten Cate, O. (2014). Cognitive Load Theory: Implications for medical education: AMEE Guide No. 86. Medical Teacher, 36(5), 371–384. https://doi.org/10.3109/0142159X.2014.889290

Yuniar, A. P., Hendrayana, A., & Setiani, Y. (2019). ANALISIS BEBAN KOGNITIF SISWA PADA KEMAMPUAN PEMECAHAN MASALAH MATEMATIS DALAM POKOK BAHASAN PERBANDINGAN. TIRTAMATH: Jurnal Penelitian Dan Pengajaran Matematika, 1(1), 1. https://doi.org/10.48181/tirtamath.v1i1.6873

Zahara, M. N., Hendrayana, A., & Pamungkas, A. S. (2020). The Effect of Problem-based Learning Model Modified by Cognitive Load Theory on Mathematical Problem Solving Skills. Hipotenusa : Journal of Mathematical Society, 2(2), 41–55. https://doi.org/10.18326/hipotenusa.v2i2.41-55

Zeitlhofer, I., & Zumbach, J. (2026). Sequencing problem solving and worked examples: effects on performance, cognitive load, and judgments of learning. International Journal of Educational Research, 139, 103039. https://doi.org/10.1016/j.ijer.2026.103039