高中数学中导数解题策略教学研究

发布时间：2018-06-21 00:31

本文选题：导数 + 高考　；参考：《西北大学》2016年硕士论文

【摘要】：导数知识模块是高中数学知识的重要组成部分,也是各省高考中的必考内容,在整个高中数学学习活动中有着必不可少的作用。导数常与函数性质、不等式、解析几何、数列等结合起来考查,对学生的思维能力和综合运用能力要求都比较高。本文对高中数学中导数解题策略加以研究帮助学生更好地认识导数,提高运用导数解题策略的能力,另一方面从教师的教入手对导数解题策略教学进行研究,为学生的学和教师的教提供—定的帮助。本文先对高中数学中导数的地位、知识点、考情和高考命题特征做了分析,总结高中导数学习过程中常用的数学思想方法,再从高考真题出发研究导数有关题型和解题策略。最后对导数解题策略教学进行研究,指出导数解题策略教学应遵循以学生为主体原则、代表性原则、适量性原则、渐进性原则、形式多样化原则和课堂内外相互渗透原则。提出导数解题策略教学的心理模式为知识定位、问题表征、模式识别、选择策略、知识配备、检测反思。最后给出导数解题策略教学案例为教师的教学提供一定的参考。本文的创新点在于从高考的角度去分析研究导数知识的解题策略,并结合解题策略进行教学研究,使得教与学双管齐下。
[Abstract]:Derivative knowledge module is an important part of senior high school mathematics knowledge, and it is also a necessary part of the college entrance examination in each province. It plays an indispensable role in the whole senior high school mathematics learning activities. The derivative is often combined with functional properties, inequalities, analytic geometry, series of numbers and so on, which requires students' ability of thinking and comprehensive application. This paper studies derivative problem solving strategies in senior high school mathematics to help students better understand derivative and improve their ability to use derivative problem solving strategies. On the other hand, the teaching of derivative problem solving strategies is studied from teachers' teaching. Provide-defined assistance to students and teachers in learning and teaching. This paper first analyzes the position, knowledge point, examination situation and the characteristics of college entrance examination proposition in senior high school mathematics, summarizes the mathematical thinking methods commonly used in the process of derivative learning in senior high school, and then studies the derivative related question types and problem solving strategies from the point of view of the real questions of the college entrance examination. Finally, this paper studies the teaching of derivative problem-solving strategy, and points out that the teaching of derivative problem-solving strategy should follow the principle of students as the main body, representativeness principle, moderate principle, gradual principle, diversified form principle and mutual penetration principle inside and outside the classroom. The psychological model of derivative problem-solving strategy teaching is knowledge orientation, problem representation, pattern recognition, strategy selection, knowledge allocation and examination and reflection. Finally, the derivative problem solving strategy teaching case is given to provide a certain reference for teachers' teaching. The innovation of this paper is to analyze and study the strategy of solving derivative knowledge from the point of view of college entrance examination, and carry out teaching research combined with the strategy of solving problems, which makes teaching and learning go hand in hand.
【学位授予单位】：西北大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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