九年级学生利用二次函数解决实际问题的调查研究

发布时间：2018-01-07 21:10

本文关键词：九年级学生利用二次函数解决实际问题的调查研究　出处：《西北师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：二次函数这部分内容一直在初高中数学教学中占有举足轻重的地位,其中利用二次函数有关的知识解决实际问题又是中考的热点之一。为了了解九年级学生利用二次函数解决实际问题的情况,本研究将从以下四个方面进行:1.九年级学生利用二次函数解决实际问题的现状;2.九年级学生在利用二次函数解决实际问题时所遇到的困难;3.造成九年级学生利用二次函数解决实际问题困难的原因;4.针对所出现的教学问题提出相应的教学策略。本研究选取了武威八中和武威五中九年级的部分师生作为研究对象,采用问卷调查,试题检测,深入访谈等方法收集资料并得出结论。根据调查发现,武威八中和武威五中九年级的大部分学生在利用二次函数解决实际问题时存在困难。且存在的困难有:1.数学阅读理解的困难;2.建构数学模型的困难;3.对二次函数基础知识掌握的欠佳;4.数形结合的困难;5.数学学习的情感态度障碍;6.反思、总结的困难。针对产生的困难,从教师和学生两个方面做出分析。教师方面:1.在教学过程中很少将课本知识与生活实际相结合;2.缺乏耐心;3.教学方法和教学形式过于陈旧等。学生方面:1.知识面过窄;2.缺乏生活经验;3.对所学知识不能灵活应用等。最后针对所出现的困难提出相应的教学策略。教师方面:1.加强所讲内容与生活的联系;2.鼓励学生认真阅读题目;3.提高课堂的趣味性等。学生方面:1.加深对二次函数基础知识的理解;2.拓宽知识面;3.提高学习数学的兴趣和自信心等。
[Abstract]:This part of quadratic function has been playing an important role in mathematics teaching in junior high school. In order to understand the situation of the ninth grade students using quadratic function to solve the practical problems, it is one of the hot spots in the middle school examination to use the knowledge of quadratic function to solve the practical problems. This study will carry out the following four aspects: the current situation of using quadratic function to solve practical problems of Grade 9 students; 2. The difficulties encountered by the ninth grade students in solving practical problems by using quadratic functions; 3.The reason why the ninth grade students use quadratic function to solve the practical problems; 4. Aiming at the teaching problems, this study selected some teachers and students of Wuwei eighth Middle School and Wuwei Fifth Middle School as the research object, using questionnaire survey and test test. In-depth interviews and other methods to collect data and draw conclusions. According to the findings of the investigation. Most students of Wuwei Middle School No. 8 and Wuwei Grade five and Grade 9 have difficulties in solving practical problems by using quadratic functions. 2.Constructing the difficulty of mathematical model; 3. The basic knowledge of quadratic function is not well mastered; 4. Difficulties in the combination of numbers and shapes; 5. The affective attitude obstacle of mathematics study; 6.Reflections, summing up the difficulties. In view of the difficulties, the author makes an analysis from the teachers and the students. 1. In the teaching process, textbook knowledge is seldom combined with the reality of life; 2. Lack of patience; 3.The teaching method and teaching form are too old. 2. Lack of life experience; 3. Not flexible application of the knowledge, etc. Finally, the author puts forward the corresponding teaching strategy in view of the difficulties. 1. Strengthen the connection between the content and life; 2. Encourage students to read the topic carefully; 3.Enhancement of the interest of the class, etc. On the one hand, the students should understand the basic knowledge of quadratic function further; 2.widening the knowledge; 3. Improve interest and confidence in learning mathematics.
【学位授予单位】：西北师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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