(浅谈联想思维方法在数学解题中的应用.docVIP

目 录 摘要……………………………………………………………………………1 关键词…………………………………………………………………………1 Abstract………………………………………………………………………1 Key words………………………………………………………………………1 引言……………………………………………………………………………1 1 数学联想的巨大作用……………………………………………………2 2 数学联想方法的种类以及各种证明…………………………………2 2.1类比联想法…………………………………………………………………2 2.2接近联想法…………………………………………………………………4 2.3关系联想法…………………………………………………………………4 2.4逆向联想法…………………………………………………………………6 2.5 对立联想法…………………………………………………………………7 2.6横向联想法…………………………………………………………………7 3 结束语………………………………………………………………………10 参考文献………………………………………………………………………10 致谢…………………………………………………………………………… 浅谈联想思维方法在数学解题中的应用 数学与应用数学专业 孙冬梅 指导教师 李涵 摘 要 联想是由当前感知的事物特征起事物相似、相近或相同心理现象沟通数学对象中未知已知、新旧知识联系掌握数学知识,发展思维能力而且有利于提高解题速度,提高解题能力.类比联想法、关系联想法、接近联想法逆向联想法横向联想法常见的联想方法Research?on?Application?of?Maths?Thinking?Method in?Maths?Teaching Student majoring in Mathematics and Applied Mathematics SunDongmei Tutor LiHan ABSTRACT: Assoction is by the current perception of things features about a recall things like, similar or identical characteristics of the psychological phenomenon. Assoction can communicate in mathematical object and the known and unknown new and the links between the old knowledge. It not only to the grasp of math knowledge and the development of thinking ability have positive significance, but also improve the problem solving speed, and improve the ability to solve problems. Common assoction method has analogy method, close to assoction method, the method, the relationship between reverse assoction method and the lateral assoction method, etc. At math problem-solving process, if reasonably able to guide students to use thinking association, will be able to a question of asking him to make easy to simplify. LOSE KEY WORDS: assoction psychological phenomenon development thinking 引言 古希腊哲学家亚里斯多德曾指出:“我们的思维是从与正在寻求的事物相类似的事物、相反的事物或与它相近的事物开始的,以后便追寻与它相关联的事物,由此而产生联想.” 在数学中,联想是打开解题方法之门的一把钥匙,是接通解题思路的桥梁，是必须要掌握的一种方法.所谓的数学联想方法,就是以联想为中介进行数学发现探求解题思路,进而由此及彼地进行思考问题的一种方法.数学解题的思考过程实质上是已知和未知间的一系列的