Document Type : Original Research Paper
Author
Department of Mathematics Education, University of Farhangian, Tehran, Iran
Abstract
Background and Objectives: Teacher professional development in a world based on artificial intelligence, alongside other modern technologies, is among the most critical and pivotal topics in education. Artificial Intelligence-based Technological Pedagogical Content Knowledge (AI-TPACK) has recently become a focus of research for scholars in the field of teacher education. Examining the interplay between the components of AI-TPACK holds significant importance. This paper presented a dynamic control model for AI-TPACK, where a control function is applied to teachers’ knowledge of technology and artificial intelligence to analyze the mutual effects on other components. This model is expected to play a key role in guiding policymakers in making informed decisions regarding teacher professional development.
Methods: This research was an applied and developmental study focused on the design and simulation of a dynamic-control model (AI-TPACK). In this context, a model based on relevant data was first used from a reputable article to serve as the foundation for the model design. Subsequently, using a numerical simulation method, the designed model was analyzed, and its performance under various conditions was examined. This process involved several stages, including defining key variables, establishing relationships among them, and executing simulations to assess the model’s effectiveness in achieving educational and technological objectives.
Findings: The analysis of the designed dynamic model by using MATLAB indicated that the existence of solutions for the model emphasized the accuracy of the coefficients used in the state equations, which were derived from empirical data. To solve the model, two control functions were employed to manage the variable of teachers’ technological knowledge based on artificial intelligence. Additionally, the mutual influence of AI-based components on technological pedagogical content knowledge was determined through numerical solutions of the model. Detailed graphs related to each variable over time were presented.
Conclusion: Artificial intelligence, through its unique capabilities, can enhance the optimized and controlled development of AI-based technological pedagogical content knowledge (AI-TPACK) for teachers. A precise examination of teachers’ professional competencies in the age of artificial intelligence requires the design of a dynamic control model and the analysis of its behavior using advanced methods with higher accuracy. This research proposes a dynamic control model for analyzing and regulating the components of AI-based technological pedagogical content knowledge, grounded in factors related to technology and artificial intelligence. Employing a logistic control function in two distinct scenarios to examine the model’s dynamic behavior can be utilized to determine the level of investment in the application of artificial intelligence and to evaluate its effectiveness on other components of teachers’ AI-TPACK. This model, in essence, also facilitates the advancement of interdisciplinary studies in teacher.
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