数学地平线内的有形联系:探索二面体计算器
Ami Mamolo1, Parker Glynn-Adey2
1Ontario Tech University, Oshawa , Canada.
概括
学习者使用有形几何模型探索二面对称,增强他们对抽象代数概念的理解. 这种实践方法支持教育工作者发展相互联系的数学知识.
科学领域:
- 数学教育教育 数学教育
- 抽象代数 抽象代数
- 几何几何学的几何学
背景情况:
- 该研究位于费利克斯·克莱恩的埃兰根计划的历史背景下.
- 它连接到空间视觉推理和教师知识的当前研究.
研究的目的:
- 研究在教学群体理论中使用有形几何模型的方法.
- 探索这些模型如何促进学习者的结构性和相互联系的理解.
主要方法:
- 一个集团理论活动,涉及学习者探索二面体对称.
- 用一个有形的几何模型来概念化.
主要成果:
- 有形的几何模型为学习抽象代数提供了显著的机会.
- 学习者对数学概念有了结构性和相互关联的理解.
结论:
- 有形模型是教学抽象代数概念的有效工具,如二面对称.
- 这种方法支持教师发展"数学地平线上的知识".
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