论数学计算及其教学

On Mathematical Computing and Its Teaching

计算是数学学习和研究中所必须掌握的基本形式和内容.不管是数学规律的发现或数学现象的探究,还是数学问题的解决,都离不开计算.培养学生的计算能力,是数学教学的一项基本任务,也是数学教学的一条主线.中国数学教学一贯重视学生计算能力的培养,但计算教学过于注重技巧等技术性的熟练程度和准确性,针对类型一招一式来操练,缺乏整体上的真正理解.为此,提出改进计算教学的3条建议：（1）算理与算法并重;（2）注重算法和算理的探索过程;（3）注重算法多样化、优化和通性通法的归纳.

Computing is a kind of basic form and content that students have to grasp in the course of studying mathematics.It is essential to compute when discovering mathematical conclusions,or exploring the phenomenon of mathematics,or solving mathematical problems,and it is a kind of basic task of teaching mathematics to cultivate the capacity of computing.We are usually used to cultivating the students＇ capacity of computing,but we pay more attention to training students＇ accuracy and proficiency in the techniques of computing,and training students to make exercises step by step according to the types,and absences from thorough understanding.So the author put forward three pieces of suggestion to improve the teaching of mathematical computing,that is,paying attention to the principle and procedure of computing,paying attention to the process of exploring the principle and procedure of computing,paying attention to exploring the different methods of computing and simple method of computing and summing up the general method of computing.