MODERN DIDACTIC MODELS AND METHODS FOR TEACHING PROBABILITY THEORY AND ELEMENTS OF MATHEMATICAL STATISTICS

Egamov Mirshohid Xolmurodovich, Doctor of Philosophy (PhD) in Pedagogical Sciences, Associate Professor of the Department of Higher Mathematics Karshi engineering economics institute.

Authors

  • Эгамов Миршоҳид Холмуродович TerDU

Keywords:

Flipped classroom, problem-based learning, statistics education, probability theory, student engagement, educational strategies, critical thinking, learning outcomes.

Abstract

The article presents an in-depth analysis of flipped classroom and problem-based learning (PBL) methodologies applied in teaching probability theory and mathematical statistics. It discusses research findings comparing these modern teaching approaches with traditional methods, evaluates the results using specific criteria, and explores the challenges and benefits of integrating these didactic models into the curriculum. The research highlights the advantages and potential improvements in teaching the elements of probability theory and mathematical statistics through these innovative strategies.

References

Krosmico, Philomena, «Flipping the Classroom for Introduction to Probability and Statistics for Engineers» (2021). Graduate Theses, Dissertations, and Problem Reports. 8277. https://researchrepository.wvu.edu/etd/8277

White, P. J., Naidu, S., Yurieva, E., Short, J. L., McLaughlin, J. E., & Larson, I. C. (2017). Student engagement with a flipped classroom teaching design affects pharmacology examination performance in a manner dependent on question type. American Journal of Pharmaceutical Education, 81(9), Article 5931.

Clark, K. R. (2019). The effects of the flipped model of instruction on student engagement and performance in the secondary mathematics classroom. Midwestern State University.

Hamdan N, McKnight P, McKnight K, Arfstrom KM.The flipped learning model: a white paper based on the literature review titled A Review of Flipped Learning; 2013.

Lage MJ, Platt GJ, Treglia M. Inverting the classroom: a gateway to creating an inclusive learning environment. J Econ Educ.Win 2000;31(1):30-43.

Freeman S, O’Connor E, Parks JW, et al. Prescribed active learning increases performance in introductory biology.Cbe-Life Sci Educ.2007;6(2):132-139.

Kevin R. Clark. The Effects of the Flipped Model of Instruction on Student Engagement and Performance in the Secondary Mathematics Classroom. Midwestern State University, Wichita Falls, Texas, USA.91-115

Yanto, E. S., Triyani, G., & Pravitasari, H. (2020). Engaging students in a flipped classroom instruction: Junior high school grammar program. Research and Innovation in Language Learning, 3(2), 123-144.

Chung Kwan Lo and Khe Foon Hew.Student Engagement in Mathematics Flipped Classrooms: Implications of Journal Publications From 2011 to 2020.Front. Psychol., 31 May 2021 Sec. Educational Psychology .Volume 12 - 2021 | https://doi.org/10.3389/ fpsyg.2021.672610

Juraev, F. D., Mallaev, A. R., Aralov, G. M., Ibragimov, B. S., & Ibragimov, I. (2023).

Algorithms for improving the process of modeling complex systems based on big data: On the example of regional agricultural production. In E3S Web of Conferences (Vol. 392, p. 01050). EDP Sciences. https://doi.org/10.1051/e3sconf/202339201050

Published

2024-10-24