新课程标准下的数学函数知识教学需要教师构建基本初等函数模型,其设计思路以及教学方式的研究应该以函数知识为核心,以学生的自主学习函数和学生充分了解并应用函数知识为目标。本文作者通过实践性以及可行性的角度,对数学基本函数知识的教学进行深层次的研究与分析,希望本次的研究以及函数设计思路、教学方式的正向调整对学生掌握函数知识以及对函数知识的实际应用等方面提供理论依据。 The teaching of mathematical function knowledge under the new curriculum standard requires the teacher to construct a basic elementary function model. The study of its design ideas and teaching methods should take function knowledge as the core, and students’ autonomous learning function and students fully understand and apply function knowledge as the goal. From the perspective of practicality and feasibility, the author of this thesis conducts a deep research and analysis on the teaching of mathematical basic function knowledge. He hopes that this study and the positive adjustment of function design ideas and teaching methods will help students master function knowledge and function. The theoretical basis for the practical application of knowledge and other aspects.