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数学来源于生活,又运用于生活。数学家华罗庚曾说过:地球之变,日用之繁,无处不用数学。这是对数学与生活的精彩描述。<<新课程标准>>更多地强调学生用数学的眼光从生活中捕捉数学问题,主动地运用数学知识分析生活现象,自主地解决生活中的实际问题。函数是高中数学的重点、难点,是刻画实际问题中数量关系的变化过程及规律的重要手段,函数思想在整个高中数学中举足轻重,在生产生活中应用非常广泛。根据历届高中生反馈的情况,很多学生都认为函数难学、易忘,即使到高三总复习时有些同学对函数仍然一知半解。因此,在教学中应把函数教学与学生的生活体验相联系,在学习过程中体会函数思想,让学生迈过学习函数的几道坎。
Mathematics comes from life and applies to life. The mathematician Hua Luogeng once said that: With the change of the earth, the daily life, there is no place for mathematics. This is a wonderful description of mathematics and life. <> More emphasis on students to use mathematics to capture math problems from life, and actively use mathematics knowledge to analyze the phenomenon of life, autonomously solve the practical problems in life. Functions are the focus and difficulty of high school mathematics. They are important means of portraying the changing process and laws of quantitative relationships in practical problems. Functional thinking plays an important role in high school mathematics and is widely used in production and life. According to the feedback from previous high school students, many students think that the function is difficult to learn and easy to forget. Even when the third year of the total review, some students still have little knowledge of the function. Therefore, in teaching, function teaching should be linked with students’ life experience. In the process of learning, students should realize the function idea and let students step through several learning functions.