数学与应用数学-反例在中学数学中的应用论文VIP专享VIP免费

摘 要反例作为逆向思维的重要组成部分，在数学中扮演着不可缺少的角色。当我们要证明一些定义、定理时，教师应该适当地运用反例进行教学，培养学生们的逆向思维；让学生们在学习的过程中不仅可以对新知识更加地了解，提高做题效率，还能提高学生数学学习的兴趣，而且还有助于培养学生的逆向思维能力。笔者通过在蕉城区第一实验学校实习的过程中发现教师在进行数学教学时基本上不会运用反例的思维进行教学，以至于学生运用反例来解决问题的能力很差。通过自己的实习经验，在本文中将从教师角度、学生角度、知识特点角度以及现行教育制度这四个角度进行总结，然后给出现阶段反例在中学数学中的应用情况；并从在实习中对学生的反馈情况进行整理，从而提出相应的教学建议。关键词：反例；中学数学教学；反例应用AbstractAs an important part of reverse thinking,counterexample plays an indispensable role in mathematics. When we want to prove some definitions and theorems,teachers should use counterexamples appropriately to teach and cultivate students’ reverse thinking;in the process of learning,students can not only learn more about new knowledge,improve the efficiency of problem-making,but also improve students’ interest in mathematics learning,but also help to cultivate students’ ability of reverse thinking.The author found that teachers in the process of teaching mathematics in the first experimental school in the banana city basically do not use counter-example thinking to teach,so that students use counterexamples to solve problems is very poor.Through his own internship experience,in this paper will be from the teacher’s point of view,the student’s point of view,the student’s point of view,the knowledge characteristics of the perspective and the current education angle of these four angles to summarize,and then give the current counter-example in middle school mathematics application,and from the internship to the students feedback to organize,so as to put...