Design Thinking as a pedagogical methodology for developing critical thinking in the learning of mathematics and experimental sciences

Authors

  • Eddy Alexander Carrión Bravo Universidad Técnica Particular de Loja image/svg+xml Author

Keywords:

educational innovation, pedagogical prototyping, learning technologies, challenge-based learning, teaching creativity

Abstract

This article analyzes how Design Thinking, understood as a user-centered teaching methodology, facilitates the learning of mathematics and experimental sciences to strengthen students' critical thinking. The general objective was to analyze how this methodology contributes to reasoning competences within technology-mediated educational settings. A synthetic-hermeneutic method was applied through the review and interpretive analysis of studies published between 2020 and 2024 in indexed academic databases, organized through mind maps and tree diagrams. The results show that Design Thinking is structured around five iterative phases -empathize, define, ideate, prototype, and test- that allow teachers to design learning experiences adapted to students' cognitive needs. Likewise, technological tools such as GeoGebra, Symbolab, Moodle, and Kahoot were identified as facilitators of the practical application of this methodology in the teaching of mathematical concepts. Findings suggest that the implementation of Design Thinking increases motivation, creativity, and academic performance among students, although limitations remain regarding technological availability and teacher training.

References

Alvao, L., Quintero, J., y Ramírez, A. (2020). Captura la idea: Actividad lúdica para la enseñanza y fortalecimiento del pensamiento de diseño. I+D Revista de Investigaciones, 16(1), 28-44. https://doi.org/10.33304/revinv.v16n1-2021003

Cui, Z., Ng, O., y Jong, M. S.-Y. (2023). Integration of computational thinking with mathematical problem-based learning: Insights on affordances for learning. Educational Technology & Society, 26(2), 131-146. https://doi.org/10.30191/ETS.202304_26(2).0010

Fowler, S., Cutting, C., y Fiedler, S. H. (2023). Design-based research in mathematics education: Trends, challenges and potential. Mathematics Education Research Journal, 35, 635-658. https://doi.org/10.1007/s13394-021-00407-5

Guaman-Quintanilla, S., Everaert, P., Chiluiza, K., y Valcke, M. (2022). Impact of design thinking in higher education: A multi-actor perspective on problem solving and creativity. International Journal of Technology and Design Education. https://doi.org/10.1007/s10798-021-09724-z

Kozik, V., Sofilkanych, M., Bilozub, L., Korsunskyi, V., y Babii, N. (2022). Problems and prospects of the development of creative design thinking of higher education students in the conditions of digitalization. Revista Eduweb, 16(2), 134-145. https://doi.org/10.46502/issn.1856-7576/2022.16.02.9

Latorre, C., Vázquez, S., Rodríguez, A., y Liesa, M. (2020). Design thinking: creatividad y pensamiento crítico en la universidad. Revista Electrónica de Investigación Educativa, 22(28), 1-13. https://doi.org/10.24320/redie.2020.22.e28.2917

McLaughlin, J. E., Chen, E., Lake, D., Guo, W., Skywark, E. R., Chernik, A., y Liu, T. (2022). Design thinking teaching and learning in higher education: Experiences across four universities. PLOS ONE, 17(3), e0265902. https://doi.org/10.1371/journal.pone.0265902

Mount, M., Round, H., y Pitsis, T. (2020). Design thinking inspired crowdsourcing: Toward a generative model of complex problem solving. California Management Review, 62(3), 103-120. https://doi.org/10.1177/0008125620918626

Öztürk, A. (2021). Meeting the challenges of STEM education in K-12 education through design thinking. Design and Technology Education: An International Journal, 26(1), 70-88. https://files.eric.ed.gov/fulltext/EJ1299969.pdf

Pande, M., y Bharathi, S. V. (2020). Theoretical foundations of design thinking - A constructivism learning approach to design thinking. Thinking Skills and Creativity, 36. https://doi.org/10.1016/j.tsc.2020.100637

Romero Caballero, S., Canquiz Rincón, L., Rodríguez Toscano, A., Valencia Pérez, A., y Moreno Gómez, G. (2024). Challenge-based learning and design thinking in higher education: Institutional strategies for linking experiential learning, innovation, and academic performance. Innovations in Education and Teaching International. https://doi.org/10.1080/14703297.2024.2326191

Shahrasbi, N., Jin, L., y Zheng, W. (2021). Design thinking and mobile app development: A teaching protocol. Journal of Information Systems Education, 32(2), 92-105. https://aisel.aisnet.org/jise/vol32/iss2/2/

Tsai, M.-F. (2021). Exploration of students' integrative skills developed in the design thinking of a psychology course. Thinking Skills and Creativity, 41, 100893. https://doi.org/10.1016/j.tsc.2021.100893

Yedra, R., Almeida, M., y Gómez, J. (2021). Design thinking de contenidos para dispositivos móviles para niños con síndrome de Down. Revista de Investigación en Educación, 19(2), 192-208. https://revistas.uvigo.es/index.php/reined/article/view/3675

Ziatdinov, R., y Valles, J. R. (2022). Synthesis of modeling, visualization, and programming in GeoGebra as an effective approach for teaching and learning STEM topics. Mathematics, 10(3), 398. https://doi.org/10.3390/math10030398

Published

2026-04-15

Issue

Section

Articles

How to Cite

Carrión Bravo, E. A. (2026). Design Thinking as a pedagogical methodology for developing critical thinking in the learning of mathematics and experimental sciences. Kawsay Science, 3(1), 44-59. https://cienciakawsay.com/ck/index.php/cienciakawsay/article/view/16