请英语好的朋友帮我i翻译一下毕业论文摘要，急急！

在逻辑学中,事物是有对立面的,双向考虑问题,有利于思维的严密性、合理性。而数学恰恰要求更为严格的严密性、合理性。数学反思能力是在数学反思活动过程中表现出来的一种稳定的个性心理特征。分析数学反思能力的基本含义、特征、发展特点以及与其他数学能力的关系是准确把握数学反思能力的实质，是提高学生数学反思能力的重要保证，对提高教学效益、推动数学课程改革也有重要的现实意义。反向思考有助于严密我们的数学思维，有助于完善发展数学科学。反向思考对人的思维能力，特别是逻辑思维能力的培养、训练和开发有极大的、不可代替的作用。为此，在以后的教学中应主动去培养学生的反向思考能力。反向思考是创新性思维的一种，是开拓型人才必备的思维品质，善于反向思考是思维灵活的一种表现。思维背着指定的方向进行，反向思路探索，是反向思维的特征。正确的进行反向思考,会对问题的本质属性掌握的更清楚，还可以养成对问题双向思考的习惯。在数学竞赛中，反向思考的重要性尤为突出，反证法、分析法都是重要的基本方法。此外，构造反例、倒推法、淘汰法也均来源于反向思考。反向思考突破了以往固定化思维模式，为创新、创造性思维奠定基础。鼓励学生运用反向思考，有助于培养学生的逻辑思维能力、有助于数学科学的发展与完善。
关键词:逻辑学反向思考思维能力特征
在线翻译的，和有道翻译的都不行啊，请英语好的帮我翻译一下，万分感谢，急急急急急！！！！！！！！！！！！！！！！

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第1个回答 2011-05-24

In logic, things are opposite, two-way consideration question, be helpful for thinking of the strict and rationality. While the math on the requirements more stringent strict and rationality. Mathematics reflection ability in mathematics reflection is show activity process a stable personality. Analyzing the basic mathematical reflection ability definition, characteristics, development characteristics and the relationship with other mathematical ability is accurately grasp the essence of mathematics reflection ability, is to improve students' mathematical reflection ability important guarantee to improve teaching efficiency, mathematics curriculum reform, promote also has important realistic significance. Reverse thinking helps to close our mathematical thinking, helps improve mathematical and scientific development. Reverse thinking to the person's thinking ability, especially the logic and the cultivation of thinking ability, training and development has great, irreplaceable role. Therefore, in the later teaching should take the initiative to cultivate students' reverse thinking. Reverse thinking is a kind of creative thinking, it is necessary KaiTaXing talents thought quality, good at reverse thinking is a sign of thinking agile. Thinking direction, carrying designated exploration, reverse thinking is retrorse thinking characteristics. The correct reverse thinking, will the essential attribute of master of problems more clearly, still can form the habit of thinking for problem. Two-way In mathematics competition, the importance of reverse thinking, particularly prominent counter-evidence method, analysis the basic methods are important. In addition, the tectonic counterexample, pour extrapolation and elimination method also are all derived from the reverse thinking. Reverse thinking broke the previous immobilized thinking mode, for innovation, creative thinking lay the foundation. Encourage students to use reverse thinking, helps cultivate students' logical thinking ability, help mathematical science development and improvement.
Keywords: logic reverse thinking ability of thinking characteristics本回答被提问者采纳

第2个回答 2019-10-09

数学思维的重要性
拥有良好数学思维能力的人，不仅学习办事更加高效，也更容易和别人沟通相处。换句话说，数学思维能力几乎决定了孩子人生的难易程度。
掌握了数学思维，相当于掌握了所有学科的学习钥匙，数学的魅力无穷无尽，数学之美，在于它是一切科学的基础，是命脉也是自我能量爆发的发源地。
未来的世界，如果你掌握了数学思维，并运用得好，它将胜过百万雄兵，让你拥有开挂的人生。

第3个回答 2011-05-24

在有道词典里一句或几句一起翻译，很快的，质量也不错追问

请问就叫“有道词典”吗？

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