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数学思想是数学的灵魂,是数学内容和数学方法的升华与结晶。它支配着数学的实践活动。数学思想简单地说是对数学知识、规律、方法的理性认识。数学方法就是解决数学问题的方法。一般来说,数学思想给出了解决问题的方向,数学方法给出了解决问题的策略。也就是说,思想之于方法。数学思想与数学方法之间有着密切的联系,甚至有时候人们将数学思想和数学方法归为一体。
Mathematical thinking is the soul of mathematics, is the sublimation and crystallization of mathematical content and mathematical methods. It dominates mathematical practice. Mathematical thinking is simply a rational understanding of mathematical knowledge, laws and methods. Mathematical methods are the way to solve mathematical problems. In general, mathematical thinking gives the direction to solve the problem, and the mathematical method gives the solution to the problem. In other words, the idea of the method. There is a close connection between mathematical ideas and mathematical methods, and sometimes even people combine mathematical ideas with mathematical methods.