函数贯穿高中数学，函数概念是高中数学的核心概念之一，并且高中函数概念与性质的教学是公认的教学重点问题，对高中函数的教学进行研究具有重要的现实意义。国内外对高中函数的教学研究也一直在进行，并取得了一定成果。最新发布的2019人教A版、2019人教B版在这些内容的设计上就与2003人教A版教科书有着很大的不同，这也直接反映了我国在函数的概念与性质教学研究取得的进步。
本文重点对教学目标、高中数学教科书内容、函数的概念与性质教学进行了分析。高中数学教科书函数内容的比较，对现行的2019人教A版、2019人教B版、2003人教A版的“函数的概念与性质”内容进行比较研究。借助对三版教科书进行比较，对“函数的概念与性质”内容进行了框架、内容编排体系、例题比较分析。三个版本的教科书在框架设计、知识结构、内容的呈现方式、数学文化与课程内容的整合上有不同的风格，这也蕴含了三版教科书编者对“函数的概念与性质”不同的核心理念。
函数概念的性质教学部分，笔者在教学原则和教学策略上提出了自己的见解。提出了遵循数学的知识结构特点、注重学生的切身体验、注重学生的数学核心素养的培养和注重目标达成的阶段性四个需要重视的教学原则；提出了创设生活化函数情景和提出恰当的函数问题、加强函数概念的诠释与构建过程、重视与信息技术的结合、组织交流合作活动四个教学策略。最后给出了一个优化的教学案例与所讲所说进行印证。

通过本文的对比研究，希望一线教师能够合理的选择教科书，通过深挖函数的概念与性质的本质，把握高中教科书和课标，分析教与学的过程，探索一条更容易、更完善的途径，实现高中数学教学质量的提升。

 

Function runs through high school mathematics, and function concept is one of the core concepts of high school mathematics, and the teaching of the concept and nature of senior high school function is recognized as a key problem of teaching. It is of great practical significance to study the teaching of senior high school function. At home and abroad, high school function teaching research has been carried out, and achieved some results. The latest version a and B of 2019 peoples education are quite different from 2003 peoples education version a in the design of these contents, which also directly reflects the progress made in the teaching and research of the concept and nature of functions in China.
This paper focuses on the analysis of teaching objectives, the content of high school mathematics textbooks, the concept and nature of functions. The comparison of the function content in senior high school mathematics textbooks is to make a comparative study of the current "concept and nature of function" content of 2019 peoples teaching a, 2019 peoples teaching B and 2003 peoples teaching a. With the help of the comparison of the three editions of textbooks, this paper makes a comparative analysis of the framework, content arrangement system and examples of the content of "the concept and nature of function". The three versions of textbooks have different styles in framework design, knowledge structure, presentation of content, integration of mathematical culture and curriculum content, which also contains different core concepts of "concept and nature of function" by the editors of the three versions of textbooks.
In the teaching part of the nature of function concept, the author puts forward his own views on teaching principles and teaching strategies. This paper puts forward four teaching principles that need to be paid attention to: following the characteristics of mathematical knowledge structure, paying attention to the students personal experience, paying attention to the cultivation of students mathematical core literacy and paying attention to the stage of achieving the goal; it also puts forward the creation of living function scenarios, putting forward appropriate function problems, strengthening the explanation of function concepts and highlighting the formation process of function concepts, paying attention to the connection with information technology Four teaching strategies for cooperation and exchange activities. Finally, an optimized teaching case is given.
Through the comparative study of this paper, I hope that teachers can choose textbooks reasonably, through digging into the essence of the concept and nature of function, grasping high school textbooks and curriculum standards, analyzing the process of teaching and learning, exploring a more easy and perfect way to improve the quality of high school mathematics teaching and learning.