对圆锥曲线概念及相关内容学习状况的调查研究

发布时间：2018-03-11 13:44

本文选题：圆锥曲线　切入点：概念　出处：《四川师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：圆锥曲线在高中解析几何中占有很大的地位,也是整个解析几何学的基础。高中教材经过多次变革,但每次变革,圆锥曲线都是高中重点内容之一。对圆锥曲线的概念的学习也是高中生重点学习内容之一。在学习本质的过程中需要将高中阶段的代数、几何的相关知识结合运用。而学习的这些内容以及涉及的思想方法也是解析几何学的基础。同时圆锥曲线在实际生活中有着广泛的运用,比如在天体运动、军事、航海等方面都扮演着非常重要的角色。本文的研究方法是文献分析和问卷调查,从学生学习概念的过程出发,结合APOS理论和概念学习理论,去了解高二理科学生对圆锥曲线概念及相关内容的学习情况。主要研究下面三个问题:(1)高二理科学生对于新课程要求的圆锥曲线的概念及相关内容学得怎样?(2)高二理科学生在圆锥曲线的学习过程中有哪些主要问题?(3)通过调查研究,对学生的学习和教师的教学有哪些启示。本文的重点放在问题(1)和问题(2)上。通过调查测试问卷结果的统计分析,发现高二理科学生在学些圆锥曲线的概念及相关内容的过程中存在下面三个主要问题:(1)高二理科学生对圆锥曲线定义中的变与不变量及它们的关系认识不够深刻;(2)高二理科学生对圆锥曲线定义形式的变形转化还有困难;(3)高二理科学生对把圆锥曲线的概念放在实际问题中的理解结合比较困难。由调查测试问卷结果启发教师在圆锥曲线概念的教学中注意下面三个方面的教学:(1)对圆锥曲线概念的具体内容而言,强化变与不变量,以及它们关系的分析,引导学生提高问题的变形转化能力;(2)将圆锥曲线概念的教学放在丰富的实际生活背景中。(3)揭示知识的产生和发展,让学生学习圆锥曲线的发展历史。
[Abstract]:Conic curve plays a very important role in high school analytic geometry, and it is also the basis of the whole analytic geometry. Conic curve is one of the most important contents in senior high school. Learning the concept of conic curve is also one of the key learning contents of high school students. The knowledge of geometry is used in combination. And the contents and ideas involved are also the basis of analytic geometry. Conic curves are also widely used in real life, such as celestial movement, military affairs, The research methods of this paper are literature analysis and questionnaire survey, starting from the process of students learning concepts, combining with APOS theory and conceptual learning theory. To understand the sophomore science students to the conic concept and related content. Mainly study the following three questions: 1) Senior two science students for the new curriculum requirements of the conic concept and related content how to learn? 2) what are the main problems in the process of learning conic curve for the sophomore science students in senior high school? (3) through investigation and research, what enlightenments are offered to students' learning and teachers' teaching. The emphasis of this paper is on question 1) and question 2). Through the statistical analysis of the results of the questionnaire, It is found that in the process of learning the concept and related contents of conic curve, senior two science students have the following three main problems: 1) the senior sophomore science students do not have a deep understanding of the changes and invariants in the definition of conic curve and their relationship. It is difficult for senior two science students to understand and combine the concept of conic curve in practical problems. In teaching the concept of conic, the teacher pays attention to the following three aspects of teaching: 1) as far as the concrete content of the concept of conic is concerned, To strengthen the analysis of variables and their relationships, to guide students to improve their ability to transform problems, and to put the teaching of the concept of conic curve in the rich background of real life, to reveal the generation and development of knowledge. Let students learn about the history of conic development.
【学位授予单位】：四川师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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