Advanced Mathematical Thinking and the Computer

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.

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