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数学思想是现实世界空间形式和数量关系反映到人的意识之中,经过思维活动而产生的结果,它是对数学事实和数学理论的本质的认识,它比一般说的数学概念具有更高的抽象和概括水平,它能使我们更深刻认识数学对象,它是数学方法的精神实质和理论基础,方法则是实施有关思想的技术手段。那么中学数学教学中如何有效运用数学教学思想和方法提高数学教学效果呢?
Mathematical thinking is the result of the reflection of real-world spatial form and quantity relations into human consciousness through thought activities. It is the understanding of the nature of mathematical facts and mathematical theory. It is higher than the general mathematical concepts. The level of abstraction and generalization can make us more deeply understand the mathematical object. It is the spiritual essence and theoretical basis of the mathematical method. The method is the technical means to implement the thought. So how can mathematics teaching effectively use mathematics teaching ideas and methods to improve mathematics teaching?