从光偏振到量子物理学:支持初中生从格式塔思维过渡到功能思维

Q1 Mathematics
Kristóf Tóth, Marisa Michelini, Philipp Bitzenbauer
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引用次数: 0

摘要

在本文中,我们为初中学生介绍了一种利用光偏振的量子力学新的最小数学概念方法,目的是让学生更接近所谓的量子力学思维方式。我们调查了学生是如何思考一些基本概念和基本定律的,我们发现某些概念在低年级也很好理解。我们研究了所谓的状态圆的引入,它可以忠实地表示量子力学的形式主义,而不需要学生进行抽象的代数计算。然后,我们对学生关于叠加原理和无轨迹的想法进行了分类和分析,发现测量的概念和无轨迹是有问题的。我们探讨了低年级学生往往对量子概念持有类似于 "酝酿 "的心智模型,同时又能正确使用可视化方法进行量子领域的推理。总之,本文提供了支持在初中阶段就引入量子力学基本特征的证据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
From light polarization to quantum physics: Supporting lower secondary school students’ transition from gestalt to functional thinking
In this paper, we present a new minimal mathematical conceptual approach to quantum mechanics using light polarization for lower secondary school students with the aim of bringing students closer to the so-called quantum mechanical way of thinking. We investigated how students think about some of the basic concepts and fundamental laws and we found that certain concepts are quite well-understandable in younger grades too. We studied the introduction of the so-called state circle, which can faithfully represent quantum mechanical formalism without involving students in abstract algebraic calculations. We then categorized and analyzed students’ thoughts on the superposition principle and the lack of trajectory, finding that the concept of measurement and the lack of trajectory were problematic. We explored that younger students tend to hold gestalt-like mental models of quantum concepts, while at the same time being able to use visualizations correctly for reasoning in the quantum realm. Overall, this paper provides evidence in favor of introducing basic features of quantum mechanics as early as in lower secondary school.
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来源期刊
CiteScore
4.30
自引率
0.00%
发文量
128
期刊介绍: EURASIA Journal of Mathematics, Science and Technology Education is peer-reviewed and published 12 times in a year. The Journal is an Open Access Journal. The Journal strictly adheres to the principles of the peer review process. The EJMSTE Journal publishes original articles in the following areas: -Mathematics Education: Algebra Education, Geometry Education, Math Education, Statistics Education. -Science Education: Astronomy Education, Biology Education, Chemistry Education, Geographical and Environmental Education, Geoscience Education, Physics Education, Sustainability Education. -Engineering Education -STEM Education -Technology Education: Human Computer Interactions, Knowledge Management, Learning Management Systems, Distance Education, E-Learning, Blended Learning, ICT/Moodle in Education, Web 2.0 Tools for Education
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