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所谓数学思想,就是对数学知识和方法的本质认识,是对数学规律的理性认识。所谓数学方法,就是解决数学问题的根本程序,是数学思想的具体反映。数学思想是数学的灵魂,数学方法是数学的行为。运用数学方法解决问题的过程就是感性认识不断积累的过程,当这种量的积累达到一定程序时就产生了质的飞跃,从而上升为数学思想。若把数学知识看做一幅构思巧妙的蓝图而建筑起来的一座宏伟大厦,那么数学方法相当于建筑施工的手段,而这张蓝图就相当于数学思想。
The so-called mathematical thinking, that is, the essence of mathematical knowledge and methods, is a rational understanding of the law of mathematics. The so-called mathematical method is to solve the fundamental procedure of mathematical problems, is a concrete reflection of mathematical thinking. Mathematical thinking is the soul of mathematics, mathematical methods are mathematical behavior. The process of using mathematics to solve the problem is the process of accumulating perceptual knowledge. When the accumulation of such a quantity reaches a certain procedure, a qualitative leap has taken place and the idea of mathematics has risen. If we regard mathematical knowledge as a magnificent building built on an ingenious blueprint, then the mathematical method is equivalent to building construction, and this blueprint is equivalent to mathematical thinking.