DEVELOPMENT OF LEARNING ACTIVITIES USING THE 5E INQUIRY PROCESS COMBINED WITH THE PROBLEM-SOLVING PROCESS ON DIRAC PARTICLE IN A POTENTIAL WELL WITH MOVING WALLS TO ENHANCE ANALYTICAL THINKING COMPETENCY IN QUANTUM MECHANICS FOR PHYSICS STUDENTS
Main Article Content
Abstract
This study aimed to develop a 5E Inquiry-Based Learning activity package combined with the Problem-Solving Process, focusing on the topic “Dirac Particle in a One-Dimensional Potential Well with Two Moving Walls”, for undergraduate physics students at Chiang Mai Rajabhat University. The objectives were to achieve an efficiency criterion of 75/75 and to enhance students’ Analytical Thinking Competency in the Quantum Mechanics course. The sample comprised 12 third-year physics students enrolled in the first semester of the 2024 academic year, selected through purposive sampling. Research instruments included the 5E learning activity package, an Analytical Thinking Competency assessment, an achievement test, and a student satisfaction questionnaire. Results showed that the activity package achieved an efficiency of 76.41/78.25, exceeding the standard criterion of 75/75. Students’ learning gain (g) was 0.76, indicating a high level of improvement and a significant enhancement in Analytical Thinking Competency. The 5E Inquiry-Based Learning approach enabled students to connect quantum concepts, analyze situations, and evaluate outcomes effectively. These results align with higher-order thinking levels of Bloom’s Taxonomy. In conclusion, the learning activities emphasized the development of Analytical Thinking Competency. The findings indicate that using the Problem-Solving Process on the Dirac particle in a one-dimensional potential well with two moving walls effectively promotes students’ progression from foundational understanding to higher-order thinking, supporting the goals of 21st-century learning.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The owner of the article does not copy or violate any of its copyright. If any copyright infringement occurs or prosecution, in any case, the Editorial Board is not involved in all the rights to the owner of the article to be performed.
References
Anderson, L. W., & Krathwohl, D. R. (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom's taxonomy of educational objectives. New York, NY: Longman.
Boumali, A. (2025a). Dirac oscillator for spin-1/2 particles in a spinning cosmic string spacetime with spacelike disclination and dislocation. Manuscript submitted for publication. Retrieved from https://arxiv.org/abs/2509.18197
Boumali, A. (2025b). Feshbach-Villars formalism for spin-1/2 particles in curved spacetime. Manuscript submitted for publication. Retrieved from https://arxiv.org/abs/2504.01179
Bybee, R., Taylor, J., Gardner, A., Van Scotter, P., Powell, J., Westbrook, A., & Landes, N. (2006). The BSCS 5E instructional model: Origins and effectiveness. Colorado Springs, CO: BSCS.
Dittrich, J., Rakhmanov, S., & Matrasulov, D. (2024). Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force. Physics Letters A, 503, 129408.
DOI: 10.1016/j.physleta.2024.129408
Ghosh, A., & Mandal, B. P. (2025). Dirac-isotonic oscillators in (1 + 1) and (2 + 1) dimensions. Manuscript submitted for publication. Retrieved from https://arxiv.org/abs/2502.16165
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2019). Multivariate data analysis (8th ed.). Boston, MA: Cengage Learning.
Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16(3), 235–266. DOI: 10.1023/B:EDPR.0000034022.16470.f3
Koehn, H. (2012). Relativistic quantum mechanics and the Dirac equation. Berlin, Germany: Springer.
Office of the Permanent Secretary, Ministry of Education. (2000). Guidelines for the reform of Thai education. Bangkok, Thailand: Ministry of Education.
Phonphok, N., & Wannapiroon, P. (2019). Development of learning innovation to enhance problem-solving ability and learning achievement based on inquiry-based learning and STEM education. Journal of Education Studies, 47(3), 65–80.
Polya, G. (1957). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton, NJ: Princeton University Press.
Promwong, C. (2013). Instructional media development. Bangkok, Thailand: Chulalongkorn University Press.
Savery, J. R. (2006). Overview of problem-based learning: Definitions and distinctions. Interdisciplinary Journal of Problem-Based Learning, 1(1), 9–20. DOI: 10.7771/1541-5015.1002
Taber, K. S. (2018). The use of Cronbach's alpha when developing and reporting research instruments in science education. Research in Science Education, 48(6), 1273–1296. DOI: 10.1007/s11165-016-9602-2
Tasikhaow, K., Phibanchan, S., & Sirisawat, C. (2019). The effect of 5E inquiry approach and analytical questions to promote analytical thinking and learning achievement on linear motion in physics of 10th grade students. Journal of Education and Innovation, 23(4), 58–68.
Thanabunsombat, B. (2023, July 7). Paul Dirac: A quiet physicist whose lectures were as beautiful as music. Matichon Weekly. Retrieved from https://www.matichon.co.th/weekly/column/article_687471
Zhang, Y. (2025). Experimental simulation of Dirac equation in 3+1 dimensions using superconducting circuits. Nature Communications Physics. Retrieved from https://www.nature.com/articles/s42005-025-02112-2