高中数学课程标准实验问题研究

Research on Problems in Experiment of New National Senior High School Mathematics Standard

在高中数学课程标准的教学实验取得巨大成绩的同时，尚有若干重要问题需要研究解决。高中数学五个必修模块比较好的教学顺序是14523；映像和反函数是重要基本概念，应先教映像后教函数；在立体几何教学中应先教直线、平面的基本性质，再教几何体的结构；一系列关于垂直、平行的判定定理比相应的性质定理更重要，应该予以证明；极限是微积分的重要概念，在微积分初步教学中应该引入极限概念；应该考虑适当增加课时，删去某些次要内容以解决高中学生学习负担过重的问题；应遵循教材结构安排的一些基本原则调整新高中数学内容结构，并解决好初、高中数学教学的衔接等问题。

The experiment of national senior high school mathematics standard has made great achievements; meanwhile, there are some problems in the experiment to be researched and solved. The preferable instructional order of five compulsory modules of senior high school mathematics is 1-4-5-2-3. Mapping and inverse function are two important basic concepts, and mapping should be taught before function. Basic properties of relations of straight line and plane should be taught before geometric solid structure. Theorems to determine vertical relations or parallel relations are more important than corresponding property theorems of these relations, and they should be proved in textbook. Limit is an important basic concept in calculus, and should be introduced in primary calculus teaching. In order to reduce student’s study burden, teaching hours should be increased while some unimportant contents should be deleted. In order to adjust new senior high school mathematics content structure, basic principals of structure of subject matter should be followed. And problems such as the coherence of junior high school mathematics and senior high school mathematics should be solved properly.