高等数学在中学数学学习与教学中的影响

The Influence of Higher Mathematics in Middle School Mathematics Learning and Teaching

随着我国新课程的改革,中学数学的教学和学习方法策略愈加成熟,可以明显的看到一些解题时所运用的数学思想、方法和高等数学十分相似。而高等数学由于其本身极强的逻辑性和高度的抽象性,使得高等数学在中学数学中逐渐深入,并得到应用。新教材中常用高等数学的观点、原理和方法,认识和理解并解决了一些中学数学未能解释清楚的问题,中学数学知识的学习和教学变得更加容易,从而高等数学也更好的体现了自我的价值。本文主要探讨了高等数学和初等数学在知识体系中的差别、两者在应用上的联系,以及应用高等数学的思想方法解决初等数学的有关问题、高等数学在高考实体中体现的情况和如何解决相应的问题。

ion,higher mathematics has been gradually deepened and applied in middle school mathematics.The viewpoints,principles and methods of higher mathematics are commonly used in the new teaching materials to recognize and understand and solve some problems that middle school mathematics fails to explain clearly.The learning and teaching of middle school mathematics knowledge become easier,so that higher mathematics better reflects its own value.This paper mainly discusses the difference between higher mathematics and elementary mathematics in the knowledge system,the connection between the two in application,and the application of mathematical ideas and methods of higher mathematics to solve the related problems of elementary mathematics,the situation of higher mathematics reflected in the entity of the college entrance examination and how to solve the corresponding problems.