加里宁在“论共产主义教育”一书中教导苏联青年要重视数学课时这样写道:“第一,因为数学可以使人们的思想纪律化,能教会人们合理地去思维,无怪乎人们说,数学是锻炼思想的体操……;第二,因为实际运用数学的范围是很广的,将来不管你们研究那一门科学,不管你们进哪一个大学,不管你们在那一个部门工作,如果你们想在那里作出某种成绩,那么,到处都必须要有数学知识。”我以为,这二点可以说就是学习数学的目的,就是数学教学的任务。它们彼此补充,相辅相成。二者是不可偏废的。教育革命以前,有些人只记得加里宁提出的第一点,只强调数学是锻炼思想的体操,完全忽视了学数学 Kalinin wrote in his book “On Communism Education” that the Soviet youth should pay attention to the mathematics class: “First, because mathematics can make people ideologically disciplined, they can teach people to think rationally. No wonder people say that Mathematics is a gymnastic exercise for thinking... Second, because the scope of practical mathematics is very wide, in the future no matter which science you study, no matter which university you go into, no matter what you work in, if you want to Where there is a certain achievement, then there must be knowledge of mathematics everywhere.” I think that these two points can be said to be the purpose of learning mathematics and the task of teaching mathematics. They complement each other and complement each other. Both are unacceptable. Before the education revolution, some people only remembered the first point raised by Kalinin, only emphasizing that mathematics is the exercise of thinking and completely neglecting to study mathematics.