Advanced Mathematical Thinking and the Computer

Advanced Mathematical Thinking and the Computer
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高级数学思维和计算机

DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
D. Tall
D. Tall
中科院分区：
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文献类型：
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作者：
E. Dubinsky;D. Tall

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计算机可以作为一种工具，以各种方式补充高级数学思维。在研究中，它已被用来提供数据，提出可能的定理，寻求反例，并进行繁琐的计算，以证明定理只涉及有限数量的算法情况。在教育中，它可以用于相同的目标，以及另一个主要目的：帮助学生概念化，并为自己构建已经被他人制定的数学。
The computer can be used as a tool to complement advanced mathematical thinking in a variety of ways. In research it has been used to provide data to suggest possible theorems, to seek counter-examples and to carry out onerous computations to prove theorems involving only a finite number of algorithmic cases. In education it can be used for the same objectives, and for one other major purpose: to help students conceptualize, and construct for themselves, mathematics that has already been formulated by others.