Geometry Learning Pathways for Creative Thinking via Edupreneurial Approaches
Abstract
This study highlights the importance of creative thinking as a 21st-century competency that is closely connected to technopreneurship and edupreneurship, emphasizing how students’ cognitive styles Field Independent (FI) and Field Dependent (FD) shape their creative performance in geometry learning. The objective of this research is to design and describe a learning trajectory that fosters creative thinking by integrating cognitive diversity into geometry education. Using a descriptive qualitative approach, six purposively selected students representing FI and FD groups with high, medium, and low ability levels were examined through the Group Embedded Figures Test (GEFT), creative thinking tests, and semi-structured interviews. Data analysis followed the Miles and Huberman model, comprising data collection, reduction, display, and conclusion. The findings show that FI students exhibit stronger creative thinking skills across fluency, flexibility, originality, elaboration, and evaluation, while FD students particularly those with medium and low abilities, experience challenges in conceptual understanding and visual-spatial reasoning, indicating that creative thinking in geometry is strongly tied to spatial imagination. The study concludes that the proposed learning trajectory enhances creative education by linking cognitive styles with innovative learning design, offering practical contributions for curriculum development, teacher training, and educational product creation. It further supports the cultivation of innovation-oriented mindsets essential for building edupreneurial ecosystems and aligns with Sustainable Development Goal 4 (Quality Education).
Full text article
References
[1] U. Azmi, Safrijal, and M. Rahmi, “Analysis of 4c skills (critical thinking, creativity and innovation, collaboration, and communication) of physics education students in facing the industrial revolution 4.0,” Jurnal Penelitian Pendidikan IPA, vol. 10, no. 2, pp. 695–703, 2024.
[2] N. Lutfiani, D. Apriani, E. A. Nabila, and H. L. Juniar, “Academic certificate fraud detection system framework using blockchain technology,” Blockchain Frontier Technology, vol. 1, no. 2, pp. 55–64, 2022.
[3] T. Irham and B. Jabu, “Development of the 4c teaching model to improve students’ mathematical critical thinking skills,” International Journal of Educational Methodology, vol. 8, no. 3, pp. 493–504, 2022, [Online]. Available: https://eric.ed.gov/?id=EJ1357642.
[4] M. A. Adeoye and H. A. Jimoh, “Problem-solving skills among 21st-century learners toward creativity and innovation ideas,” Thinking Skills and Creativity, vol. 6, no. 1, pp. 52–58, 2023.
[5] Y.-S. Su, H.-W. Cheng, and C.-F. Lai, “Study of virtual reality immersive technology enhanced mathematics geometry learning,” Frontiers in psychology, vol. 13, p. 760418, 2022.
[6] B. Thornhill-Miller, A. Camarda, M. Mercier, and J.-M. Burkhardt, “Creativity, critical thinking, communication, and collaboration: Assessment, certification, and promotion of 21st century skills for the future of work and education,” Journal of Intelligence, vol. 11, no. 3, p. 54, 2023.
[7] R. Firdaus and R. Firdaus, “Implementation of the addie model for developing multimedia learning media and gamification on space objects material on elementary school,” JUTIF: Jurnal Teknik Informatika, vol. 5, no. 4, pp. 365–373, 2024.
[8] S. Li, J. Zhou, T. Xu, D. Dou, and H. Xiong, “Geomgcl: Geometric graph contrastive learning for molecular property prediction,” in Proceedings of the AAAI conference on artificial intelligence, vol. 36, no. 4, 2022, pp. 4541–4549.
[9] R. Parker, B. S. Thomse, and A. Berry, “Learning through play at school – a framework for policy and practice,” Frontiers in Education, vol. 7, 2022.
[10] C. Sriliasta and D. S. S. Wuisan, “Stepping forward: Enhancing cognitive learning outcomes through hybrid rccr-based learning on circulatory system material,” International Transactions on Artificial Intelligence, vol. 2, no. 1, pp. 49–59, 2023.
[11] A. Alfiyanto, W. Walidin, and S. Mahmud, “Characteristics of learning theories in education according to psychological development,” Jurnal Konseling Pendidikan Islam, vol. 5, no. 1, pp. 171–187, 2024.
[12] A. Kristian, T. S. Goh, A. Ramadan, A. Erica, and S. V. Sihotang, “Application of ai in optimizing energy and resource management: Effectiveness of deep learning models,” International Transactions on Artificial Intelligence, vol. 2, no. 2, pp. 99–105, 2024.
[13] W. Wan, H. Geng, Y. Liu, Z. Shan, Y. Yang, L. Yi, and H. Wang, “Unidexgrasp++: Improving dexterous grasping policy learning via geometry-aware curriculum and iterative generalist-specialist learning,” in Proceedings of the IEEE/CVF International Conference on Computer Vision, 2023, pp. 3891–3902.
[14] M. Akteruzzaman, S. B. Sattar, and S. M. J. Anwar, “Motivation in l2 learning: An analysis with self-determination theory,” Multidisciplinary Reviews, vol. 6, no. 1985, 2023.
[15] N. Ramadhona, A. A. Putri, and D. S. S. Wuisan, “Students’ opinions of the use of quipper school as an online learning platform for teaching english,” International Transactions on Education Technology, vol. 1, no. 1, pp. 35–41, 2022.
[16] H. Yang and S. Kyun, “The current research trend of artificial intelligence in language learning: A systematic empirical literature review from an activity theory perspective,” Australasian Journal of Educational Technology, vol. 38, no. 5, pp. 180–210, 2022.
[17] A. Arta, M. A. Faizal, B. N. Asiyah, and Mashudi, “The role of edupreneurship in gen z in shaping independent and creative young generation,” Maro: Jurnal Ekonomi Syariah dan Bisnis, vol. 6, no. 2, pp. 231–241, 2023.
[18] C. Lukita, M. Hardini, S. Pranata, D. Julianingsih, and N. P. L. Santoso, “Transformation of entrepreneurship and digital technology students in the era of revolution 4.0,” Aptisi Transactions on Technopreneurship (ATT), vol. 5, no. 3, pp. 291–304, 2023, https://doi.org/10.34306/att.v5i3.356.
[19] D. P. Larey, A. Le Roux, and L. Jacobs, “Evoking edupreneurial leadership towards social justice among historically disadvantaged communities,” International Journal of Leadership in Education, vol. 27, no. 2, pp. 412–428, 2024.
[20] C.-C. Chen and Y.-Y. Huang, “Knowledge mapping of educational entrepreneurs and corresponding strategies for school management by principals in primary and secondary education,” Journal of Education Research, no. 374, pp. 75–91, 2025.
[21] U. Rahardja, Q. Aini, D. Manongga, I. Sembiring, and I. D. Girinzio, “Implementation of tensor flow in air quality monitoring based on artificial intelligence,” International Journal of Artificial Intelligence Research, vol. 6, no. 1, p. 23, 2023.
[22] E. F. Ferro et al., “Self-perception of the level of achievement of the disciplinary and pedagogical standards in physical education students of two universities in santiago de chile,” Retos: Nuevas Tendencias en Educaci´on F´ısica, Deporte y Recreaci´on, vol. 48, pp. 197–206, 2023.
[23] M. M. Yousefabadi, T. Ghasemnezhad, and Y. Akbarie, “The effect of anxiety, motivation and self-confidence in language learners’ reading proficiency,” NeuroQuantology, vol. 20, no. 16, pp. 4966–4976, 2022.
[24] A. Sijabat, F. Festiyed, A. Razak, S. Diliarosta, L. Lufri, and N. Leonie, “Development of ulos learning model with ar to foster cultural appreciation,” Aptisi Transactions on Technopreneurship (ATT), vol. 7, no. 1, pp. 72–83, 2025, https://doi.org/10.34306/att.v7i1.471.
[25] M. Samaniego, N. Usca, J. Salguero, and W. Quevedo, “Creative thinking in art and design education: A systematic review,” Education Sciences, vol. 14, no. 2, p. 192, 2024.
[26] S. A. Ferdaus and D. Novita, “The implementation of the merdeka curriculum in english subject at a vocational high school in indonesia,” Briliant: Jurnal Riset dan Konseptual, vol. 8, no. 2, p. 297, 2023.
[27] I. Hartaji, I. Nursit, and A. H. Fathani, “Identification of students’ mathematical creative thinking ability in number pattern problems solving,” Numerical: Jurnal Matematika dan Pendidikan Matematika, vol. 7, no. 1, pp. 233–241, 2023.
[28] G. Carella, M. Conte, C. Cautela et al., “Designing entrepreneurs: Structuring an educational framework for design-driven entrepreneurship,” in Education and New Developments 2025–Volume I. inScience Press, 2025, pp. 361–365.
[29] A. ˇZakelj and A. Klanˇcar, “The role of visual representations in geometry learning,” European Journal of Educational Research, vol. 11, no. 3, pp. 1393–1411, 2022.
[30] M. Nobutoshi, “Metacognition and reflective teaching: A synergistic approach to fostering critical thinking skills,” Research Advances in Education, vol. 2, no. 9, pp. 1–14, 2023.
[31] E. Purnomo et al., “Enhancing problem-solving skills through physical education learning: A comprehensive analysis,” Retos: Nuevas Tendencias en Educaci´on F´ısica, Deporte y Recreaci´on, vol. 58, pp. 435–444, 2024.
[32] S. Lee-Cultura, K. Sharma, and M. Giannakos, “Children’s play and problem-solving in motion-based learning technologies using a multi-modal mixed methods approach,” International Journal of Child-Computer Interaction, vol. 31, p. 100355, 2022.
[33] I. D. Girinzio, A. Ramadan, D. B. Saputra, G. Mustika, and Sulistio, “Improve critical thinking students in indonesia for new learning management system,” pp. 111–121, 2023.
[34] M. H. R. Chakim, P. A. Sunarya, V. Agarwal, I. N. Hikam et al., “Village tourism empowerment against innovation, economy creative, and social environmental,” Aptisi Transactions on Technopreneurship (ATT), vol. 5, no. 2sp, pp. 162–174, 2023, https://doi.org/10.34306/att.v5i2sp.342.
[35] P. Ramseook-Munhurrun, P. Naidoo, and S. Armoogum, “Navigating the challenges of female leadership in the information and communication technology and engineering sectors,” Journal of Business and Socio-economic Development, vol. 5, no. 1, pp. 55–70, 2025.
[36] A. Ledentsov, “Knowledge base reuse with frame representation in artificial intelligence applications,” IAIC Transactions on Sustainable Digital Innovation (ITSDI), vol. 4, no. 2, pp. 146–154, 2023.
[37] A. Suryani, S. Soedarso, W. Windiani, T. Hanoraga, S. H. B. Harmadi, and Y. Setyaningsih, “The social dimensions of creativepreneurship education: Unleashing youth’s creative potentials through teamwork and collaborative creativity,” International Journal of Pedagogical and Social Studies, vol. 7, no. 1, pp. 43–58, 2022.
[38] N. Lutfiani and L. Meria, “Utilization of big data in educational technology research,” International Transactions on Education Technology, vol. 1, no. 1, pp. 73–83, 2022.
[39] A. Wilson, R. Kask, and L. W. Ming, “Exploring circular digital economy strategies for sustainable environmental, economic, and educational technology,” International Transactions on Education Technology (ITEE), vol. 2, no. 2, pp. 129–139, 2024.
[40] E. J. Tisdell, S. B. Merriam, and H. L. Struckey-Peyrot, Qualitative Research: A Guide to Design and Implementation. John Wiley & Sons, 2025.
[41] S. Jablonski and M. Ludwig, “Teaching and learning of geometry—a literature review on current developments in theory and practice,” Education sciences, vol. 13, no. 7, p. 682, 2023.
[42] K. M. I. Rosyida and B. K. Prahani, “Enhancing students’ critical thinking skills in physics: Exploring problem-based learning and mobile technology integration in rotational dynamics education,” Advances in Mobile Learning Educational Research, vol. 5, no. 1, pp. 1301–1313, 2025.
[43] A. G. Prawiyogi, S. Purnama, and L. Meria, “Smart cities using machine learning and intelligent applications,” International Transactions on Artificial Intelligence, vol. 1, no. 1, pp. 102–116, 2022.
[44] C. Isert, K. Atz, and G. Schneider, “Structure-based drug design with geometric deep learning,” Current Opinion in Structural Biology, vol. 79, p. 102548, 2023.
[45] J. L. Willson, A. Nuche, and R. Widayanti, “Ethical considerations in the development of ai-powered healthcare assistants,” International Transactions on Education Technology (ITEE), vol. 2, no. 2, pp. 109–119, 2024.
[46] X. Fang, L. Liu, J. Lei, D. He, S. Zhang, J. Zhou, F. Wang, H. Wu, and H. Wang, “Geometry-enhanced molecular representation learning for property prediction,” Nature Machine Intelligence, vol. 4, no. 2, pp. 127–134, 2022.
[47] V. El Ardeliya, J. Taylor, and J. Wolfson, “Exploration of artificial intelligence in creative fields: Generative art, music, and design,” International Journal of Cyber and IT Service Management, vol. 4, no. 1, pp. 40–46, 2024.
[48] I. Arifah, N. S. Ramadhani, Y. Kusumawati, and A. Setiawan, “Feel supported and not alone”: A qualitative study of supports needed by pregnant women in preventing anemia,” J Promot Health Edu, vol. 12, no. 2, pp. 168–179, 2024.
[49] D. Komalasari, L. Ahdiani et al., “Implementing edupreneurship in early childhood education: Enhancing holistic development through creative learning projects,” International Journal of Education and Humanities, vol. 5, no. 4, pp. 653–661, 2025.
[50] H. Tussa’diah and N. Y. Kartika, “Critical discourse analysis on linguistic ideology of the netizens comments,” ADI Journal on Recent Innovation, vol. 4, no. 2, pp. 110–121, 2023.
[51] M. Fuster Rabella, “Evolving ai capabilities and the school curriculum: Emerging implications and a case study on writing,” OECD Publishing, Paris, OECD Education Working Papers 338, 2025. [Online]. Available: https://doi.org/10.1787/647880aa-en
[52] T. Hongsuchon, U. Rahardja, A. Khan, T.-H. Wu, C.-W. Hung, R.-H. Chang, C.-H. Hsu, and S.-C. Chen, “Brand experience on brand attachment: The role of interpersonal interaction, feedback, and advocacy,” Emerging Science Journal, vol. 7, no. 4, pp. 1232–1246, 2023.
Authors
Copyright (c) 2026 Hendri Handoko, Stevanus Budi Waluya, Wardono Wardono, Sugiman, Li Wei Ming

This work is licensed under a Creative Commons Attribution 4.0 International License.
This journal permits and encourages authors to post items submitted to the journal on personal websites while providing bibliographic details that credit its publication in this journal.
Authors are permitted to post their work online in institutional/disciplinary repositories or on their own websites. Pre-print versions posted online should include a citation and link to the final published version in Journal of Librarianship and Scholarly Communication as soon as the issue is available; post-print versions (including the final publisher's PDF) should include a citation and link to the journal's website.