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中英高中数学教材导函数内容的比较研究
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Abstract:
在高中数学教材的不同版本中,导函数内容的安排均有所不同,因此主要以人教A版、北师大版和英教PA版高中数学关于导函数的内容为主要研究对象,从教材内容编排、习题类型、习题难度、课程深度四个层面进行比较,采用难度模型对习题难度和课程深度进行分析。发现三者在教材编写上各具特点,并且提出相应的建议:合理情境增加导入,丰富教学内容;结合知识之间联系,做好教学设计;丰富数学探究知识,激发学习兴趣;加强教材习题规划,促进学生提升。
In different editions of high school mathematics textbooks, the arrangement of derivative function content is different, so the content of high school mathematics about derivative functions is mainly studied in Renjiao A edition, Beijing Normal University edition and Yingjiao PA edition, and the content of derivative functions is compared from four levels: textbook content arrangement, exercise type, exercise difficulty and course depth, and the difficulty model is used to analyze the difficulty of exercises and course depth. It is found that the three have their own characteristics in the compilation of teaching materials, and put forward corresponding suggestions: increase the introduction of reasonable situations and enrich the teaching content; combine the connection between knowledge and do a good job in teaching design; enrich the knowledge of mathematical inquiry and stimulate interest in learning; strengthen the planning of textbook exercises to promote students’ improvement.
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