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中美教材习题的数学认知水平比较——以二次方程及函数为例 被引量:74

Comparison of Exercises in Mathematics Cognitive Levels in China and United States——As an Example to Quadratic Equations and Functions
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摘要 以顾泠沅提出的数学认知水平分析框架为依据,对中美教材“二次方程及函数”的习题进行比较,可发现:4个水平中,水平-1操作性记忆水平和水平-3说明性理解水平的题目,中美教材所占比例相似.水平-2:概念性记忆水平的题目,中国教材给与了充分重视,安排了更多练习.美国教材中水平—4的练习题类型较丰富,注重开放题、推理题、非常规题,也注意培养学生一般化(归纳)的能力.而中国教材不但在数量上很少,而且类型也较少. According to Gu Ling Yuan's mathematical analytical level framework. We compare the exercise in "quadratic equation and function" of China and United States. To four levels, On proportionate, the level 1(level of operation memory), 3 (level of descriptive understanding) is similar, to the level 2 (level of conceptual memory), Chinese give full attention and give mote exercises, to level 4(the level of exploration understanding), United States pay attention to open questions, inference questions, unconventional questions, also pay attention to students' generalization (induction) capabilities, in this level, Chinese textbook is not only few in number but also less in type.
出处 《数学教育学报》 北大核心 2009年第4期57-60,共4页 Journal of Mathematics Education
关键词 教材 比较 题目 认知水平 textbook comparison exercises cognitive levels
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