中美高中数学教材的习题比较及启示——以PEP教材与UCSMP教材中平面向量章节为例  

Comparative Study on Exercises of Chinese and American Mathematical Teaching Materials ——A Case Study of Plane Vector Chapters from Chinese PEP Edition High School and American UCSMP Edition Teaching Materials

作　　者：林丹[1] 胡典顺[1] 

机构地区：[1]华中师范大学数学与统计学学院

出　　处：《数学教育学报》2015年第3期63-67,共5页Journal of Mathematics Education

基　　金：湖北省教学研究项目——数学师范生拔尖创新人才培养的理论与实践(2013090);中央高校基本科研业务费专项资金资助——数学问题提出与数学教育改革:跨国比较研究(CCNU13F021);华中师范大学研究生教学改革研究项目——免费师范生攻读教育硕士培养模式的改革研究与实践(2013JG18);华中师范大学教师教育学院研究专项资助(2012JS07);湖北省教育科学“十二五”规划2013年度立项课题——数学问题提出与数学教育改革:跨国比较研究(2013B015)

摘　　要：教材建设是中国新一轮数学课程改革的重要标志,是改革理念和要求的具体体现.通过对人教版高中数学教材与美国UCSMP教材中向量章节习题的比较发现,UCSMP教材的习题呈现方式丰富,编排具有层次性,素材来源与实际生活更紧密,注重较高认知水平的培养,注重习题的探索性和开放性,难度较大;人教版教材习题类型丰富,较高认知水平习题较少,难度恰当,注重基础性,探索性、开放性问题较少.在教材编写中,人教版高中数学教材可以适当考虑丰富习题的呈现方式,提高较高认知水平习题比例,增加探索性和开放性习题,注重习题背景的多样化,紧密联系生活实际.The reconstruction of teaching materials is an important mark of a new round of China’s reform of the mathematical curriculum, which also concretely represents the requirement and principle of the reform. By contrast of exercises of plane vector chapters from Chinese PEP edition high school and American UCSMP edition teaching materials, it can be found that the exercises from UCSMP edition textbooks are represented in various ways and redacted in different levels, are more closely connected to life and the cultivation of higher cognitive level, more open and thought-provoking, whereas are also more difficult. While the exercises from Chinese PEP edition high school textbooks are abundant in types, but not abundant in higher cognitive level, which makes them better from the perspective of difficulty. However, it shows an inadequacy of open and thought-provoking questions. In the compiling of teaching materials, PEP may consider to enrich the ways of presentation, improve the proportion of exercises of the higher cognitive level, add more exploratory questions, pay attention to the diversity of background of exercises and strengthen their connection to life.

关 键 词：数学教材比较 平面向量 习题 启示 

分 类 号：G633.6[文化科学—教育学]