《标准》与《大纲》中几何部分内容难度的比较研究  

A Comparative Research on the Difficulty Degree of Geometry Both in Standards and Syllabus

作　　者：吕世虎[1,2] 史宁中[1] 陈婷[3] 

机构地区：[1]东北师范大学,吉林长春130024 [2]西北师范大学,甘肃兰州730070 [3]西南大学,重庆北碚400715

出　　处：《课程．教材．教法》2006年第8期38-43,共6页Curriculum，Teaching Material and Method

摘　　要：在分析影响课程难度的因素的基础上，构建了刻画课程难度的数学模型N—λT＋（1-λ）S／T。并以此定量比较我国《普通高中数学课程标准（实验）》（以下简称《标准》）与《全日制普通高级中学数学教学大纲（试验修订本）》（以下简称《大纲》）中三部分几何内容的难度，得出以下结论：与《大纲》相比，《标准》中立体几何部分内容难度大大降低，解析几何部分内容难度略有增加，平面向量部分内容难度基本没有变化。Based on analyzing the factors that influence the difficulty degree of the course, a mathematics model N=λG/T ＋（1-λ）S/T which portrays the curriculum difficulty is constructed. According to this model, a quantitative comparison about degree of difficulties on the three parts of geometry is given between Ordinary High School Mathematics Curriculum Standards （Trial Edition ） and Senior High School Mathematics Teaching Syllabus （Experimental and Revised Edition） . It is concluded that compared with the syllabus , in the new standards, the difficulty degree of solid geometry is greatly decreased, the difficulty degree of analytic geometry is improved a little and the difficulty degree of plane vector remains the same as that in the syllabus.

关 键 词：高中 数学 课程标准 教学大纲 几何 课程难度 课程广度 课程深度 比较研究 

分 类 号：G633.63[文化科学—教育学]