教育学报
教育學報
교육학보
Journal of Educational Studies
2009年
6期
36~44
,共null页
模块顺序 映射 函数 立体几何 极限 学业负担
模塊順序 映射 函數 立體幾何 極限 學業負擔
모괴순서 영사 함수 입체궤하 겁한 학업부담
the order of modules; mapping; function; solid geometry; limit; study burden;
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;映射和反函数是重要基本概念,应先教映射后教函数;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。
在高中數學課程標準的教學實驗取得巨大成績的同時,尚有若榦重要問題需要研究解決。高中數學五箇必脩模塊比較好的教學順序是14523;映射和反函數是重要基本概唸,應先教映射後教函數;在立體幾何教學中應先教直線、平麵的基本性質,再教幾何體的結構;一繫列關于垂直、平行的判定定理比相應的性質定理更重要,應該予以證明;極限是微積分的重要概唸,在微積分初步教學中應該引入極限概唸;應該攷慮適噹增加課時,刪去某些次要內容以解決高中學生學習負擔過重的問題;應遵循教材結構安排的一些基本原則調整新高中數學內容結構,併解決好初、高中數學教學的銜接等問題。
재고중수학과정표준적교학실험취득거대성적적동시,상유약간중요문제수요연구해결。고중수학오개필수모괴비교호적교학순서시14523;영사화반함수시중요기본개념,응선교영사후교함수;재입체궤하교학중응선교직선、평면적기본성질,재교궤하체적결구;일계렬관우수직、평행적판정정리비상응적성질정리경중요,응해여이증명;겁한시미적분적중요개념,재미적분초보교학중응해인입겁한개념;응해고필괄당증가과시,산거모사차요내용이해결고중학생학습부담과중적문제;응준순교재결구안배적일사기본원칙조정신고중수학내용결구,병해결호초、고중수학교학적함접등문제。
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.