高师数学系数学分析的教学研究

发布时间：2019-04-15 17:03

【摘要】：数学分析是高师数学系中一门重要的基础课程，不仅对后续课程的学习，也对师范生将来从事的中学数学教学工作有重要影响．然而，数学分析的教学现状不能令人满意，国内外关于数学分析的教学研究也不多．本文通过精心设计研究过程，对高师数学系数学分析的教学进行深入分析和研究．本文首先围绕研究课题查阅相关的文献，，并对已有研究成果进行梳理，在此基础上，结合所要研究的问题编制课堂观察分析表和学生调查问卷，以探究数学分析教学中的问题和不足；然后根据课堂观察分析表对苏州大学数学系2012级新生两个班级进行为期两个月的听课；之后结合听课情况及学生调查问卷对部分新生和两位任课教师进行访谈；最后通过问卷调查、访谈和课堂观察的结果与分析得出结论，并给出教学建议．本研究的结论包括以下四个方面：（1）数学分析的课程内容与教学目标缺乏时代性和师范性；（2）数学分析教学以讲授为主，注重逻辑体系和思想方法，但在学生的认知规律和教学方法、教学手段的灵活运用方面关注不够；（3）逻辑推理能力不强，以及高中数学学习中养成的不好的学习习惯和学习方法，成为学生学习困难的主要原因；（4）教学评价方式较单一．针对以上数学分析课程与教学的现状，本文从课程内容与教学目标、教学方法与手段、学习方法、教学评价及教材编写这五个方面给出建议．
[Abstract]:Mathematical analysis is an important basic course in mathematics department of normal university, which has an important influence not only on the follow-up course study, but also on the middle school mathematics teaching work of normal school students in the future. However, the present situation of mathematics analysis teaching is not satisfactory. There are not many teaching researches on mathematical analysis at home and abroad. Through careful design and research process, the teaching of mathematical analysis in mathematics department of normal colleges is deeply analyzed and researched. Firstly, the paper looks up the relevant literature around the research topic. And the existing research results are combed, on this basis, combined with the problems to be studied to compile classroom observation and analysis table and student questionnaire, in order to explore the problems and deficiencies in the teaching of mathematical analysis; Then, according to the classroom observation and analysis table, two classes of grade 2012 freshmen of Suzhou University were attended for two months, and then some freshmen and two teachers were interviewed according to the situation of listening to the class and the questionnaire of students. Finally, through the results and analysis of questionnaires, interviews and classroom observations, the conclusion is drawn. The conclusions of this study include the following four aspects: (1) the curriculum contents and teaching objectives of mathematical analysis are short of the times and teachers; (2) the teaching of mathematical analysis mainly focuses on the teaching of logic system and ideological methods, but not enough attention is paid to the students' cognitive laws and teaching methods, and the flexible use of teaching methods; (3) the poor logical reasoning ability and the bad learning habits and methods in high school mathematics learning have become the main reasons for the students' learning difficulties; (4) the teaching evaluation method is relatively single. According to the present situation of mathematics analysis courses and teaching above, this article from the curriculum content and the teaching goal, the teaching method and the means, the study method, the teaching method. The five aspects of teaching evaluation and textbook compilation are suggested.
【学位授予单位】：苏州大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：G652.4;O17-4

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