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Thoughts on Mathematical Ideology of 'Linear Space'

机译:关于“线性空间”数学思想的思考

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This paper is about the author's thoughts on mathematical thinking method while teaching "linear space" of Advanced Algebra. The ideas of finite and infinite, transformation, unity and isomorphism of algebra and geometry are expounded. If we bring mathematical thinking method to teaching process to share our cognition, feelings and ideas with students, they can profoundly understand the logic of math and appreciate the beauty of math, so as to better learn math, use math, and love math.
机译:本文是关于作者对数学思维方法的思考,同时教导高级代数的“线性空间”。阐述了代数和几何形状的有限和无限,转化,单位和同构的思想。如果我们为教学过程带来数学思维方法,分享我们的认知,感受和与学生的想法,他们可以深刻地了解数学的逻辑并欣赏数学的美丽,以便更好地学习数学,使用数学和爱数学。

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