论文部分内容阅读
§1. 引言在初中代数课里已经进行了不等式的教学,那时仅在有理数体内讨论,通过具体的数字例子,说明几个不等式的性质和同价不等式的定理,它的要求是不高的,主要的目的是为了以后讨论一元二次方程的根的性质。在高中代数课里,又要进行这个项目的教学,这时是在实数体内讨论,它的要求是提高了,应该是系统地和完整地进行教学,显示出前后教学的一致性,且在理论上和方法上都有所提高和扩充,使学生对这个项目能够较全面的理解和掌握,会利用它解决实际的问题。这种圆周式的教学,以教育学的观点来看,还是
§1. Introduction The teaching of inequality has been carried out in junior high school algebra class. At that time, it was discussed only in rational numbers. Through specific numerical examples, the nature of several inequalities and the theorem of inequality of the same price are explained. Its requirements are not high. The main purpose is to discuss the nature of the root of a quadratic equation later. In the high school algebra class, the teaching of this project is again conducted. This time it is discussed in real numbers. Its requirements are improved. It should be systematic and complete teaching. It shows the consistency of teaching before and after, and in theory. Both the upper and the method have been improved and expanded so that students can understand and master this project in a more comprehensive manner and use it to solve practical problems. This kind of circular teaching, from the perspective of pedagogy, is still