Методика Викладання Моделювання Систем Із Використанням Phet Симуляцій: Методика Навчання Математики В Закладах Загальної Середньої Та Вищої Освіти
Year: 2026
Type: article
Abstract: The article substantiates a methodology for using an electrical circuit as an analog model of linear flow distribution in networks within the course «Systems Modeling». It examines the integration of structural, functional, and optimization approaches to the study of networked systems. The structural model is represented as a weighted graph, the optimization model as a shortest-path problem solved using Dijkstra’s algorithm, and the functional model as a resistive electrical circuit governed by Ohm’s and Kirchhoff’s laws. It is shown that Dijkstra’s algorithm and the electrical model use the same graph structure but solve different problems: the algorithm determines the route with the minimum total weight, whereas the electrical circuit reproduces flow distribution across all available branches. A three-stage laboratory methodology is proposed, involving the construction of a graph model, its transformation into an electrical circuit, and the performance of a computer-based modeling experiment in the PhET environment. The limits of applicability of the electrical analogy, the criteria for model verification, and the possibilities for assessing students’ learning outcomes are identified. The feasibility of using PhET simulations to develop students’ ability to analyze networked systems, compare different types of models, and critically evaluate their adequacy is explained.
Author: Кайдан, Наталія
Institution: Technical University "Metinvest Polytechnic" LLC
Language: Ukrainian
Subfield: Education
Field: Social Sciences
Domain: Social Sciences
SDG: Quality education
Open Access status: green
OpenAlex ID: W7202061614