Khung lí thuyết tích hợp trí tuệ nhân tạo tạo sinh trong dạy học khám phá chủ đề xác suất ở trung học cơ sở

Các tác giả

  • Nguyễn Viết Dương Trường Đại học Sư phạm Thành phố Hồ Chí Minh
  • Nguyễn Thị Nga Trường Đại học Sư phạm Thành phố Hồ Chí Minh

Tóm tắt

In the context of educational digital transformation, mathematics teaching is increasingly expected to foster students’ inquiry, experiential learning, and thinking development. This paper develops a theoretical framework for integrating Generative Artificial Intelligence into discovery learning for teaching probability topics at the lower secondary level. Using a theoretical modeling approach, the study systematizes key perspectives on discovery learning, probabilistic thinking, dynamic models, and the pedagogical role of Generative Artificial Intelligence. The proposed framework comprises three components: objectives for developing students’ inquiry competence and probabilistic thinking; a discovery learning process supported by dynamic models; and a Generative Artificial Intelligence infrastructure that assists teachers in designing simulations, virtual experiments, and interactive learning materials. Theoretical analysis suggests that Generative Artificial Intelligence may help reduce technical demandsin the development of digital learning resources, support teachers in expanding instructional design ideas, and create more opportunities for students to engage in probability inquiry tasks. The paper contributes a theoretical approach to integrating emerging technologies into mathematics education and provides a basis for future empirical studies to examine the feasibility and effectiveness of the proposed framework.

Tài liệu tham khảo

Anggraini, S., & Kusrini, E. (2018). The Analysis of Students’ Difficulties in Solving Problems of Probability for 8th Grade. Advances in Social Science, Education and Humanities Research, 160, 166-169. https://

doi.org/10.2991/incomed-17.2018.36

Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM - International Journal on Mathematics Education, 45(6), 797-810. https://doi.org/10.1007/s11858-013-0506-6

Batanero, C., & Álvarez-Arroyo, R. (2024). Teaching and learning of probability. ZDM - Mathematics Education, 56, 5-17. https://doi.org/10.1007/s11858-023-01511-5

Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on Teaching and Learning Probability. In C. Batanero, E. J. Chernoff, J. Engel, H. S. Lee, & E. Sánchez (Eds.), Research on Teaching and Learning Probability (pp. 1-33). Springer International Publishing. https://doi.org/10.1007/978-3-319-31625-3_1

Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31, 21-32.

De Jong, T., & Van Joolingen, W. R. (1998). Scientific discovery learning with computer simulations of conceptual domains. Review of Educational Research, 68(2), 179-201. https://doi.org/10.3102/00346543068002179

Duran, M. (2016). The effect of the inquiry-based learning approach on student ’ s critical -thinking. Eurasia Journal of Mathematics, Science & Technology Education, 12(12), 2887-2908. https://doi.org/10.12973/

eurasia.2016.02311a

Fielding-Wells, J., O’Brien, M., & Makar, K. (2017). Using expectancy-value theory to explore aspects of motivation and engagement in inquiry-based learning in primary mathematics. Mathematics Education Research Journal, 29, 237-254. https://doi.org/10.1007/s13394-017-0201-y

Giannakos, M., Azevedo, R., Brusilovsky, P., Cukurova, M., Dimitriadis, Y., Hernandez-Leo, D., Järvelä, S., Mavrikis, M., & Rienties, B. (2025). The promise and challenges of generative AI in education. Behaviour & Information Technology, 44(11), 2518-2544. https://doi.org/10.1080/0144929X.2024.2394886

Harvel, C. (2010). Guided discovery learning. In H. Lee (Ed.), Faith-Based Education That Constructs: A Creative Dialogue between Contructivism and Faith-Based Education (pp. 169-172). Wipf & Stock.

Kamaluddin, M., & Widjajanti, D. B. (2019). The Impact of Discovery Learning on Students’ Mathematics Learning Outcomes. Journal of Physics: Conference Series, 1320(1), 1-7. https://doi.org/10.1088/1742-6596/1320/1/012038

Koparan, T. (2019). Teaching Game and Simulation Based Probability. International Journal of Assessment Tools in Education, 6(2), 235-258. https://doi.org/10.21449/ijate.566563

Koparan, T., & Koparan, E. T. (2019). Empirical approaches to probability problems: an action research. European Journal of Education Studies, 5(10), 100-117. https://doi.org/10.5281/zenodo.2557521

Leutner, D. (1993). Guided discovery learning with computer-based simulation games: Effects of adaptive and non-adaptive instructional support. Learning and Instruction, 3(2), 113-132. https://doi.org/10.1016/0959-4752(93)90011-N

Lê Hoàng Hạc, Phạm Sỹ Nam (2025). Dạy học nội dung “Số các tổ hợp” (Toán 10) với sự hỗ trợ của trí tuệ nhân tạo (AI). Tạp chí Giáo dục, 25(số đặc biệt 4), 128-133. https://tcgd.tapchigiaoduc.edu.vn/index.php/

tapchi/article/view/3689

Martín, H. R., & Bybee, R. W. (2022). The cognitive principles of learning underlying the 5E Model of Instruction. International Journal of STEM Education, 9, Article 21. https://doi.org/10.1186/s40594-022-00337-z

Mayer, R. E. (2004). Should There Be a Three-Strikes Rule against Pure Discovery Learning? The Case for Guided Methods of Instruction. American Psychologist, 59(1), 14-19. https://doi.org/10.1037/0003-066X.59.1.14

Memon, T. D., & Kwan, P. (2025). A Collaborative Model for Integrating Teacher and GenAI into Future Education. TechTrends, 0123456789. https://doi.org/10.1007/s11528-025-01105-w

Monib, W. K., Qazi, A., Apong, R. A., Azizan, M. T., Silva, L. De, & Yassin, H. (2024). Generative AI and future education: a review, theoretical validation, and authors’ perspective on challenges and solutions. PeerJ Computer Science, 10, 1-32. https://doi.org/10.7717/peerj-cs.2105

Olsson, J. (2018). The Contribution of Reasoning to the Utilization of Feedback from Software When Solving Mathematical Problems. International Journal of Science and Mathematics Education, 16, 715-735.

Ormrod, J. E. (1995). Educational psychology: Principles and applications. Prentice-Hall.

Rabardel, P. (1995). Les hommes et les technologies; approche cognitive des instruments contemporains. Armand colin.

Sepulveda, R. M. (2025). Relationships between frequentist and theoretical probability through a random experiment simulation from the theory of didactic situations. Revista Innovaciones Educativas, 27(42), 7-28. https://doi.org/10.22458/ie.v27i42.5310

Trần Nam Dũng (tổng chủ biên), Trần Đức Huyên, Nguyễn Thành Anh (đồng chủ biên), Nguyễn Văn Hiển, Ngô Hoàng Long, Nguyễn Đặng Trí Tín. Toán 8, tập 2, Bộ Chân trời sáng tạo. NXB Giáo dục Việt Nam.

UNESCO. (2024). AI competency framework for teachers. In AI competency framework for teachers. https://doi.org/10.54675/zjte2084

Wen, W., & Wen, H. (2024). Bridging Generative AI Technology and Teacher Education: Understanding Preservice Teachers’ Processes of Unit Design with ChatGPT. Contemporary Issues in Technology and Teacher Education, 24(4), 582-611.

Tải xuống

Đã Xuất bản

29.04.2026

Cách trích dẫn

Nguyễn Viết Dương, N. V. D., & Nguyễn Thị Nga, N. T. N. (2026). Khung lí thuyết tích hợp trí tuệ nhân tạo tạo sinh trong dạy học khám phá chủ đề xác suất ở trung học cơ sở. Tạp Chí Giáo dục, 26(đặc biệt 3), 57–64. Truy vấn từ https://tcgd.tapchigiaoduc.edu.vn/index.php/tapchi/article/view/6058

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