Quy trình dạy học chủ đề “Ứng dụng hình học của tích phân tính diện tích hình phẳng” (Toán 12) với sự hỗ trợ của Manim và Brisk Teaching

Các tác giả

  • Phạm Sỹ Nam Trường Đại học Sài Gòn
  • Ung Nguyễn Thanh Nguyên Lớp DTO1241, Trường Đại học Sài Gòn

Tóm tắt

In the context of current educational reforms in secondary schools, visualization tools and AI-generated platforms open up opportunities to enhance teaching effectiveness through vivid, interactive, and personalized learning experiences. This study proposes a teaching process for the topic “Applications of integral geometry to calculate the area of a plane figure" (Mathematics 12) with the support of Manim and the Brisk Teaching AIgenerated platform, and illustrates this process through teaching the content “Calculating the area of a plane figure bounded by the graph of the function y = f(x), the x-axis, and two lines x = a, x = b”. The process describes in detail the Manim scenario to support students in sequentially constructing knowledge; it also presents the design of interactive activities on Brisk Teaching (including: prediction questions, multiple-choice tests, short essays, practice exercises) along with an accompanying automatic assessment mechanism. The proposed teaching process is expected to improve students' conceptual visualization abilities and learning engagement. It can also be replicated and applied to other abstract topics in mathematics.

Tài liệu tham khảo

Bộ GD-ĐT (2018). Chương trình giáo dục phổ thông môn môn Toán (ban hành kèm theo Thông tư số 32/2018/TT-BGDĐT ngày 26/12/2018 của Bộ trưởng Bộ GD-ĐT).

Borović, F., Kovačić, M., & Aleksić-Maslać, K. (2025). The use of the GenAI tool Brisk Teaching in the educational process and its impact on student motivation. In Proceedings of the 2025 48th International Convention on Information, Communication and Electronic Technology (MIPRO) (pp. 715-719). https://doi.org/10.1109/

mipro65660.2025.11131911

Brown, A. L. (1992). Design Experiments: Theoretical and Methodological Challenges in Creating Complex Interventions in Classroom Settings. Journal of the Learning Sciences, 2(2), 141-178. https://doi.org/

1207/s15327809jls0202_2

Collins, A. (1992). Toward a Design Science of Education. In New Directions in Educational Technology (pp. 15-22). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-77750-9_2

Eertmans, J. (2023). Manim Slides: A Python package for presenting Manim content anywhere. Journal of Open Source Education, 6(66), 206. https://doi.org/10.21105/jose.00206

Kanvaria, V. K., & Srivastava, T. (2025). Artificial Intelligence tools in mathematics education: A theoretical inquiry into their transformative potential. Thiagarajar College of Preceptors Edu Spectra, 7(2), 29-37. https://doi.org/

34293/eduspectra.v7i2.05

Ju, S. G., Kim, E. C., & Ko, H. (2024). The relationship between adult learners’ self-directed learning ability, social capital, learning participation, and satisfaction. Journal of Learner-Centered Curriculum and Instruction, 24(20), 215-229. https://doi.org/10.22251/jlcci.2024.24.20.215

Mayer, R. E., & Moreno, R. (2002). Animation as an aid to multimedia learning. Educational Psychology Review, 14(1), 87-99. https://doi.org/10.1023/a:1013184611077

Niu, Y., Wang, L., Wang, Y., & Wang, P. (2025). Study on improving the teaching effect of Mathematical Methods for Physics using Manim animation technology. Journal of Contemporary Educational Research, 9(10), 215-222. https://doi.org/10.26689/jcer.v9i10.12674

Rellensmann, J., Strohmaier, A. R., & Schukajlow, S. (2024). Learning with visualizations helps: A meta-analysis of visualization interventions in mathematics education. Educational Research Review, 45, Article 100639. https://doi.org/10.1016/j.edurev.2024.100639

Samarth, P., Jain, V., Golugula, S., & Sathvik, M. S. (2025). Manimator: Transforming research papers and mathematical concepts into visual explanations. Department of Computer Science and Engineering, PES University, Bengaluru, India.

Schneider, F., Libbrecht, P., & Mas, V. (2025). Creating animations for maths teaching: A praxis-oriented discussion paper about the use chatbots for the creation of mathematical animations with Manim, IU Discussion Papers - IT & Engineering, No. 4 (Dezember 2025). IU Internationale Hochschule, Erfurt, https://doi.org/

56250/4092

Zhang, C. (2025). Manim for STEM education: Visualizing complex problems through animation. arXiv. https://arxiv.org/abs/2510.01187

Tải xuống

Đã Xuất bản

05.05.2026

Cách trích dẫn

Phạm Sỹ Nam, P. S. N., & Ung Nguyễn Thanh Nguyên, U. N. T. N. (2026). Quy trình dạy học chủ đề “Ứng dụng hình học của tích phân tính diện tích hình phẳng” (Toán 12) với sự hỗ trợ của Manim và Brisk Teaching. Tạp Chí Giáo dục, 26(09), 70–75. Truy vấn từ https://tcgd.tapchigiaoduc.edu.vn/index.php/tapchi/article/view/5700

Số

Chuyên mục

Các bài báo