Question

中翻英，哪位高手帮我把下面这段话翻译成英文的？急用啊！！

本文主要介绍的是反例在数学中的作用。举反例是一种重要的反证手段。重要的反例往往会成为数学殿堂的基石。学会构造反例是一种重要的数学技能，应该成为数学教学的基本训练内容而渗透于教学过程之中。反例的重要性要想充分的发挥出来，关键还在于具体的作出所需的反例。至于反例的作法，也如证明一样，因题而异，方式多变。反例对于正确理解数学概念，牢固地掌握公式、性质、法则，培养学生的逻辑思维能力，预防和纠正错误，都能起到特有的作用。反例的产生有的是学生在学习中“冒”出来的，有的是是教师在教学中有意诱“引”出来的，还有的是教师在教学中直接提出来的。不管是以何种形式出现的反例，教师都要引导学生进行详尽的讨论、对比、分析，使学生得到启发，并得出正确的结论。

Answer 1

This paper mainly introduces is the counter example role in mathematics. For example is a kind of important means of disproof. Important counterexample tend to become the foundation of mathematics hall. Learn to tectonic counterexample is a kind of important mathematical skills, should be a basic training contents and penetration in the teaching of mathematics teaching process. Counterexample is of great importance to fully play out, the key lies in the concrete to make the required. For example, it only as proof, owing to the different topic, changing way. Counterexample to correct understanding of mathematical concepts, firmly grasp the formula, nature, principles, cultivate students' logical thinking ability, to prevent and correct mistakes, can play a unique role. Counter example generation have a plenty of students "take out" in the study, have a plenty of ?

Answer 2

I don't know English......