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函数概念深刻地反映了客观世界的运动和实际的量之间的依赖关系,它是近代数学的主要基础,又和集合、对应等现代数学的基本概念紧密联系着。进行函数的教学,可以使学生懂得一切事物都是在不断变化、而且是相互联系与相互制约的,从而了解事物的变化趋势及其运动的规律。这对于培养学生的辩证唯物主义观点,培养他们分析和解决实际问题的能力,都有极其重要的意义。在小学数学教学中渗透函数思想,可以为学生以后学习中学数学和现代数学,奠定良好的基础。
The concept of function profoundly reflects the dependence between the movement of the objective world and the actual quantity. It is the main foundation of modern mathematics and closely linked with the basic concepts of modern mathematics such as the collection and correspondence. The teaching of functions can help students understand that everything is changing constantly, and that it is interrelated and mutually restraining, so as to understand the changing trends of things and the laws of their movements. This is of vital importance in cultivating students' dialectical materialist views and in cultivating their ability to analyze and solve practical problems. The idea of infiltration in elementary mathematics teaching can lay a good foundation for students to study middle school mathematics and modern mathematics in the future.