教育数学的基本理念与实践探索——访谈张景中院士

Research on the Concept and Practice of Educational Mathematics——An Interview with Academician Zhang Jingzhong

当前世界各国都在进行数学教育改革,改造数学使之更适于教学和学习是教育数学为自己提出的任务,教育数学的基本理念就是要使数学变得容易。教育数学经过四十多年的理论与实践研究发现,数学可以变得更容易理解和掌握。面积法和消点法把几何变容易了,基于小学知识引入正弦把三角变容易了,这些成果已经进入教学实践,有了很好的实践效果,并出版了“新思路数学”初中实验教材。建立点几何可以把坐标、向量和复数知识串通,微积分的基本概念和定理也能变容易,有关的一系列教学实践有待展开。

The reform of mathematics education has been carried out all over the world. Transforming mathematics to make it more suitable for teaching and learning is an important task of mathematics education research. The basic idea of educational mathematics is to make learning mathematics easier. After more than 40 years of theoretical and practical research on educational mathematics, it is found that mathematics can become easier to understand and master. For instance, the area method and the vanishing point method have made studying geometry easier, and the introduction of sine based on primary school knowledge has made mastering trigonometry easier. These methods have entered the teaching practice and have produced a great practical effect. The junior middle school experimental textbook of “New Thinking in Mathematics” has been published. The establishment of point geometry can connect together the knowledge of coordinates, vectors and complex numbers, while the basic concepts and theorems of calculus can also become easier to digest, relevant teaching practices remain to be carried out.