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学习基本初等函数对数函数,一方面可以加深对函数概念的理解,掌握研究函数的一般方法;另一方面,基本初等函数是常见的重要的函数模型,是研究其他函数的基础,与生活实践、科学研究有着密切的联系,有着广泛的应用。学生已经学习过函数概念,函数的单调性、奇偶性等性质,学习过指数函数的图象和性质,学习过对数的概念以及对数的运算。这些都构成了学生的认知基础。教学中,一方面利用研究指数函数所获得的经验,按照研究函数的一般方法来研究对数函数,进一步体验研究函数的一般方法;另一方面,加强与指数函数的联系,在知识与知识间的联系中学习新知识,帮助他们形成良好的知识结构,发展理性思维,提高认识能力。两年前的今天笔者在师大本部借班上了《对数函数的第一课》,到现在仍然记忆犹新,现将整个教学过程和反思与大家分享,有不当之处请批评指正!
Learning basic elementary logarithm function, on the one hand can deepen the understanding of the concept of the function, master the general method of research functions; the other hand, the basic elementary function is a common and important function model is to study other functions, and life practice , Scientific research is closely linked, has a wide range of applications. Students have studied the concept of functions, the monotonicity of functions, the nature of parity and so on, studied the image and nature of exponential functions, learned the concept of logarithm, and the operation of logarithms. These constitute the cognitive basis of the students. Teaching, on the one hand the use of exponential function of the experience gained, in accordance with the general method of research functions to study the logarithmic function to further experience the general method of research functions; the other hand, to strengthen the relationship with the exponential function between knowledge and knowledge Learning to learn new knowledge to help them form a good knowledge structure, develop rational thinking, improve cognitive skills. Two years ago today, I was in the Normal University by the class on the “first function of the logarithm function”, still fresh in my memory, now the entire teaching process and reflection to share with you, there are inappropriate Please criticism!