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Welcome to Our Focus Issue on the Concept of Proof

机译:欢迎来到我们关于证明概念的焦点问题

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摘要

The concept of proof is one concerning which the pupil should have a growing and increasing understanding. It is a concept which not only pervades his work in mathematics but is also involved in all situations where conclusions are to be reached and decisions to be made. Mathematics has a unique contribution to make in the development of this concept, and up to the present time teachers of mathematics have, in general, assumed this contribution can best be made in the tenth year through the study of demonstrative geometry. The practice resulting from this assumption has tended to isolate the concept of proof, whereas this concept may well serve to unify the mathematical experiences of the pupil.
机译:证明的概念与学生应对此有越来越多的了解有关。这个概念不仅遍及他的数学工作,而且涉及所有需要得出结论和做出决定的情况。数学对这一概念的发展做出了独特的贡献,并且直到目前,数学老师一般都认为,通过对示范几何的研究,最好在十年内做出这一贡献。由这种假设产生的实践倾向于将证明的概念隔离开来,而该概念很可能有助于统一学生的数学经验。

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