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图论漂亮猜想及其在教学中的作用
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Abstract:
图论是设计和分析互连网络的最基本且强有力的数学工具。图论发展过程中诞生的众多漂亮猜想，一方面推动图论学科自身的发展，另一方面图论教学中发挥着重要作用。本文探讨图论中一些漂亮猜想在激发学生学习兴趣、深化知识理解、培养学生数学思维和创新能力等方面的作用，同时提出基于漂亮猜想的有效图论教学方法。
Graph theory is the most fundamental and powerful mathematical tool for designing and analyzing interconnection networks. A large number of beautiful conjectures that emerged during the development of graph theory have, on one hand, promoted the development of the graph theory discipline itself, and on the other hand, played an important role in graph theory teaching. This paper explores the roles of some beautiful conjectures in stimulating students’ learning interests, deepening their understanding of knowledge, and cultivating students’ mathematical thinking and innovation abilities, at the same time, effective graph theory teaching methods based on beautiful conjectures are proposed.
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