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二次函数作为中学数学的重要内容,是初中学习的重点和难点,也是高中学习函数知识的基础。以人教版与北师版初、高中“二次函数”教材为研究对象,采用内容分析的方法,以引例、例题、课堂练习题作为分析单位,比较两种版本中学数学教科书二次函数的异同点。发现在内容范围上,两版本都涵盖了《课标》所规定的课程内容,北师版课程内容略少于人教版;在内容组织上,两版本课程内容都成螺旋式编排,逻辑结构相似。在问题数量上,北师版略多于人教版,两版本侧重点各不相同。建议备课时应准确“定位”课程内容,合理设置教学目标;上课应注重思想方法渗透,关注学生“差异性”;课后反思与评价应以研促思,以思促教,评价体现“过程性”。
As an important content of middle school mathematics, quadratic function is the focus and difficulty of junior high school learning, and it is also the basis of high school learning function knowledge. Taking PEP and the Beginning and Senior Secondary School“secondary function” teaching materials as research subjects, content analysis is used, and examples, examples, and class exercises are used as analysis units to compare the two versions of secondary school mathematics textbooks. The similarities and differences of functions. It is found that in the scope of content, both versions cover the curriculum content stipulated in the “Course Criteria”. The content of the Beijing Normal University course is slightly less than that of the People’s Education Press; in terms of content organization, both versions of the course content are spirally arranged and logically structured. similar. In terms of the number of issues, the Beijing Normal University version is slightly larger than the People’s Education Press. The two versions have different focuses. It is recommended that when preparing lessons, the contents of the course should be accurately positioned, and teaching objectives should be set reasonably; classes should focus on the penetration of ideas and methods, and pay attention to students’ “differences”; reflections and evaluations after class should be based on research to promote thinking and to promote teaching. Evaluation reflects “procedural”.