GOAL-FREE PROBLEMS IN MATHEMATICS EDUCATION: A SYSTEMATIC REVIEW OF COGNITIVE LOAD AND PROBLEM-SOLVING RESEARCH
(1) Universitas Singaperbangsa Karawang
(2) Universitas Singaperbangsa Karawang
(3) Universitas Singaperbangsa Karawang
(*) Corresponding Author
Abstract
Goal-Free Problems (GFP), based on Cognitive Load Theory (CLT), is an instructional strategy that reduces extraneous cognitive load by eliminating specific end goals from mathematical tasks. Although widely implemented in mathematics education, empirical findings remain fragmented and lack systematic synthesis. This study systematically reviews research on Goal-Free Problems with a focus on cognitive load and mathematical problem-solving. Literature was identified through Scopus, ERIC, and Google Scholar using Publish or Perish, covering publications from 2016–2026. Following the PRISMA 2020 guidelines, ten eligible studies were analyzed using narrative synthesis. The results indicate that Goal-Free Problems consistently reduce cognitive load and support learning outcomes such as transfer, retention, reasoning, flexible thinking, and higher-order thinking skills. However, their effectiveness is influenced by task complexity, prior knowledge, and instructional design. The review also reveals that direct evidence regarding mathematical problem-solving ability remains limited, as most studies emphasize cognitive load and related cognitive variables. These findings highlight the need for further experimental research examining mathematical problem-solving as the primary outcome.
Keywords
Full Text:
PDFReferences
Sweller, J. (1994). Cognitive load theory, learning difficulty, and instructional design. Learning and Instruction, 4(4), 295–312. https://doi.org/10.1016/0959-4752(94)90003-5
Cooper, G. (1998). Research into Cognitive Load Theory and Instructional Design at UNSW. 1–33.
Kirschner, P. A., Sweller, J., Kirschner, F., & Zambrano, J. R. (2018). From Cognitive Load Theory to Collaborative Cognitive Load Theory. International Journal of Computer-Supported Collaborative Learning, 13(2), 213–233. https://doi.org/10.1007/s11412-018-9277-y
Purnama, P. W., & Retnowati, E. (2021). The effectiveness of goal-free problems for studying triangle similarity in collaborative groups. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 6(1), 32–45. https://doi.org/10.23917/jramathedu.v6i1.11198
Retnowati, E., & Maulidya, S. R. (2018). Designs of goal-free problems for trigonometry learning. Journal of Physics: Conference Series, 983(1). https://doi.org/10.1088/1742-6596/983/1/012125
Maulidya, S. R., Hasanah, R. U., & Retnowati, E. (2017). Can goal-free problems facilitating students’ flexible thinking? AIP Conference Proceedings, 1868. https://doi.org/10.1063/1.4995128
Octaviola, K., & Retnowati, E. (2023). Pembelajaran Bangun Ruang Dalam Goal-Free Problems Secara Kolaboratif. Jurnal Pedagogi Matematika, 9(3), 213–223. https://doi.org/10.21831/jpm.v9i3.18382
Aprillia, F., & Retnowati, E. (2025). Do Goal-Free Problems with Guided Questions Affect Retention , Transfer , and Cognitive Load ? Edumatica: Jurnal Pendidikan Matematika, 15(3), 296–309.
Setiawan, D. B., & Susanah, S. (2023). Penerapan Goal-Free Problems dalam Pembelajaran Matematika secara Kolaboratif untuk Melatih Kemampuan Siswa dalam Memecahkan Masalah. MATHEdunesa, 12(1), 275–288. https://doi.org/10.26740/mathedunesa.v12n1.p275-288
Barnett, T. (2025). Reducing Maths Anxiety and Enhancing Problem-Solving Skills Through Goal Free Problems. CEAR: Centre for Education Acrtion Research.
Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., Shamseer, L., Tetzlaff, J. M., Akl, E. A., Brennan, S. E., Chou, R., Glanville, J., Grimshaw, J. M., Hróbjartsson, A., Lalu, M. M., Li, T., Loder, E. W., Mayo-Wilson, E., McDonald, S., … Moher, D. (2021). The PRISMA 2020 statement: An updated guideline for reporting systematic reviews. Journal of Clinical Epidemiology, 134, 178–189. https://doi.org/10.1016/j.jclinepi.2021.03.001
Popay, J., Roberts, H., Sowden, A., Petticrew, M., Arai, L., Rodgers, M., Britten, N., Roen, K., Duffy, S., Arai, L., Roen, K., & Rodgers, M. (2006). Developing guidance on the conduct of narrative synthesis in systematic reviews. A product from the ESRC Methods Programme. Lancaster: Institute of Health Research, 59(Suppl 1), A7.
Pradinar, F. D., & Pujiastuti, E. (2022). Mathematical Creative Thinking Ability in terms of the Habits of Mind in PBL with a Management System with a Goal Free Problems strategy. Unnes Journal of Mathematics Education, 11(1), 78–85. https://doi.org/10.15294/ujme.v11i1.55860
Samo, D. D., Blegur, K. S. I., Dominikus, W. S., Garak, S. S., Nenohai, J. M. H., & Nada, Y. H. (2025). How Goal Free Problems Affect for Students with Learning Experiences? Journal of Education and Teaching (JET), 6(2), 365–383. https://doi.org/10.51454/jet.v6i2.571
Sugiman, Retnowati, E., Ayres, P., & Murdanu. (2019). Learning goal-free problems: Collaboratively or individually? Cakrawala Pendidikan, 38(3), 590–600. https://doi.org/10.21831/cp.v38i3.26914
Maulida, R., Retnowati, E., Mardika, F., & Fitriza, R. (2022). Efektivitas Pembelajaran Kolaboratif Dengan Strategi Goal-Free. 6(2), 91–104.
Samo, D. D., Dominikus, W. S., Nenohai, J. M. H., Blegur, I. K. S., & Nada, Y. H. (2024). Effectiveness of goal free problems for students with learning experience. Al-Fikru: Jurnal Pendidikan Dan Sains, 5(2), 325–334. https://doi.org/10.55210/al-fikru.v5i2.1813
DOI: https://doi.org/10.31327/jme.v11i1.2822
Article Metrics
Abstract view : 116 timesPDF - 103 times
Refbacks
- There are currently no refbacks.
Copyright (c) 2026 Syakira Zalfani Asla, Indra Budiman, Nur Azizah
![]() |




