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CHAOS AT SCHOOL: CHUA’S CIRCUIT FOR STUDENTS IN JUNIOR AND SENIOR HIGH SCHOOL

机译:学校的混乱:初中和初中学生的CHAA电路

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摘要

Chua’s circuit is a nonlinear dynamic circuit that has assumed a paradigmatic role in mathematical, physical and experimental demonstrations of chaos. Yet even today, complexity and chaos are seen as challenging topics reserved for specialists. Is it possible for young people in junior and senior high school to acquire a difficult concept such as chaos? In order to study this issue, we developed a four-step teaching/learning method in which two groups of students (one from junior and one from senior high school) manually built Chua’s circuit and used it as a source for extraordinary images and music. All this allowed students to interact with strange attractors, discovering their fascination and beauty. Both groups of students created 3-D models of attractors, modified the control parameters, explored the sound and music of chaos and, during the process, discovered the connection between science and art. Briefly, they learned through engaging activities, which allowed them to acquire physical and mathematical knowledge of chaos through various modalities. The results show that manipulation of the circuit and related artistic activities can provide a new, creative and enjoyable approach to science learning.
机译:蔡氏电路是非线性动态电路,在混沌的数学,物理和实验演示中担当了范式的角色。即使在今天,复杂性和混乱也被视为专家保留的具有挑战性的主题。初中和高中的年轻人是否有可能掌握诸如混沌之类的困难概念?为了研究此问题,我们开发了一种四步教学法,其中两组学生(一组来自初中,一组来自高中)手动构建了蔡氏电路,并将其用作非凡图像和音乐的来源。所有这些使学生能够与陌生的吸引子互动,发现他们的魅力和美丽。两组学生都创建了吸引器的3-D模型,修改了控制参数,探索了混乱的声音和音乐,并在此过程中发现了科学与艺术之间的联系。简而言之,他们通过参与活动来学习,这使他们能够通过各种方式获得有关混沌的物理和数学知识。结果表明,对电路和相关艺术活动的操纵可以为科学学习提供一种新颖,创造性和令人愉悦的方法。

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