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数学思想是对数学知识、方法、规律的一种本质认识;数学方法是解决数学问题的策略和程序,是数学思想的具体反映;数学知识是数学思想方法的载体,数学思想较之于数学基础知识及常用数学方法又处于更高层次,它来源于数学基础知识及常用的数学方法,在运用数学基础知识及方法处理数学问题时,具有指导性的地位.对于学习者来说,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,当这种积累达到一定程度就会产生飞跃,从而上升为数学思想,一旦数学思想形成之后,便对数学方法起着指导作用.因此,数学思想是数学的灵魂,数学就应站在数学思想
Mathematical thinking is an essential understanding of mathematics knowledge, methods, and laws. Mathematical methods are strategies and procedures for solving math problems. They are concrete reflections of mathematics ideas. Mathematical knowledge is the carrier of mathematics and thoughts. Mathematical thinking is more fundamental than mathematics. Knowledge and common mathematics methods are at a higher level. They are derived from the basic knowledge of mathematics and commonly used mathematical methods. They have a guiding position when using mathematics basic knowledge and methods to deal with mathematical problems. For learners, they use mathematical methods. The process of solving problems is the process of accumulation of perceptual knowledge. When this accumulation reaches a certain level, it will result in a leap, and it will rise to mathematical thinking. Once mathematical thinking is formed, it will play a guiding role in mathematical methods. Therefore, mathematical thinking is The soul of mathematics, mathematics should stand on the idea of mathematics