论文部分内容阅读
历史证明,数学不只是逻辑推理,还有实验。不过传统的数学观念,即使需要实验也不过是纸上谈兵,也只是进行所谓的思想上的实验,数学过程中数学是活动,是智力活动,或是解题活动,数学家在纸上做数学,数学教师在黑板上讲数学,而学生则每天在课上听数学和纸上做题目,这样对多数学生而言,数学的发现探索活动没有能够真正的开展起来。
History shows that mathematics is not just logical reasoning, but also experimentation. However, the traditional concept of mathematics, even if it requires experimentation, is nothing more than a discussion on paper. It is also just a so-called ideological experiment. In mathematics, mathematics is an activity, an intellectual activity, or a problem solving activity. A mathematician does math on paper, mathematics The teacher speaks mathematics on the blackboard, and the students listen to mathematics and papers in class every day. This way, for most students, the discovery and exploration activities of mathematics have not really developed.