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概念是思维的创造物、是思维的产品,人是思维者,自然是概念的创造者。教师是教育他人的人,创造概念,行为师范,当为已任。创新不仅是创造火药、航天飞机、电脑这类的物,更多的是创造新思想、新概念,例如,泰勒斯创造了“证明”这个思想,牛顿创造了微积分概念,这类思想和概念助推了人类的现代化。教师,尤其是数学教师,不能仅仅满足于教学现成的概念,也不能满足于让学生形成课本上指定的概念。这些现成的概念不过是让学生“试手”或“练脑”
Concept is the creation of thinking, is the product of thinking, people are thinking, nature is the creator of the concept. Teachers are people who educate others, creating concepts and behavior as teachers. Innovation is not only about creating things like gunpowder, space shuttle and computer, but more about creating new ideas and concepts. For example, Thales created the “proof” idea. Newton created the concept of calculus. And the concept of boosting the modernization of mankind. Teachers, and mathematics teachers in particular, can not just be content with teaching off-the-shelf concepts, nor can they be content with letting students develop the concepts specified in textbooks. These off-the-shelf concepts are nothing more than letting students “try it” or “practice their brain”