科学教育中的分形方法:计算机建模的创新技术和概念

N. Yurkovych, M. Mar’yan, M. Opachko, V. Šebeň
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引用次数: 0

摘要

问题的表述。在科学教育与信息技术发展的现阶段,二者的融合、互补和实施是必不可少的。因此,寻找基于自组织和计算机建模原理的自然科学教学方法,符合当前的直接任务。材料和方法。采用了比较分析、计算机建模和泛化策略等方法。本研究是基于物理课程内容和程序设计语言的使用。提出了一种创新的分形方法,用于物理和数学学科的教学,作为一种提高自然现象的独立和创造性计算机建模的方法。面向对象编程的基本原则(封装、继承、多态)已被证明在塑造教育学科感知的信息架构的物理和数学方面具有影响力。在物理学的其他部分使用这种方法的可能性被证明。以物理“几何光学”和“波动光学”部分的研究为例,介绍了分形结构的发展迭代。结果表明,每次迭代都具有协同作用:新迭代的增加提供了对新信息的高质量和深度感知。特定积分分形结构的形成条件是信息感知的完整性,其形成是直观的。通过对已有研究的分析,证实了分形方法的创新性和有效性。这种方法可以用于开发信息处理和传输、智能信息材料和人工智能的系统。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
METHODS OF THE FRACTAL APPROACH IN SCIENCE EDUCATION: INNOVATIVE TECHNOLOGY AND CONCEPTS OF COMPUTER MODELING
Formulation of the problem. At the present stage of the development of science education and information technology, their integration, complementarity, and implementation are essential. Therefore, the search for methods of teaching natural sciences, based on the principles of self-organization and computer modeling, corresponds to the immediate tasks of the present. Materials and methods. Methods of comparative analysis, computer modeling, and generalization strategy are used. The study is based on the physics course content and the use of the programming language. Results. An innovative fractal approach to the teaching of physical and mathematical disciplines is proposed as a method of improving independent and creative computer modeling of natural phenomena. The fundamental principles of object-oriented programming (encapsulation, inheritance, polymorphism) have proven to be influential in shaping the physical and mathematical aspects of the information architecture of the perception of educational disciplines. The possibility of using this approach in other sections of physics is demonstrated. The developed iterations of the fractal structure are presented in the example of the study of the "Geometric Optics" and "Wave Optics" sections of physics. It is shown that each iteration is characterized by synergy: the addition of a new iteration provides a high-quality and in-depth perception of new information. Conclusions. The formation of the specified integrated fractal structure conditions the integrity of information perception and its formation happens intuitively. The analysis of the conducted studies confirmed the innovativeness and effectiveness of the fractal approach. This approach can be used to develop systems for the processing and transmission of information, intelligent information materials, and artificial intelligence.
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