高中生坐标系与参数方程学习中认知错误分析与对策研究
发布时间：2019-03-18 18:40
【摘要】：数学课程改革已在全国全面展开。“坐标系与参数方程”的教学受到一线教师的普遍关注,一方面是由于教学课时的紧张及学生学习的压力过大,另一方面是“坐标系与参数方程”因其内容的抽象性使得学生不易掌握。然而,已有的研究大多是关于教学内容的分析、解题策略探究、高考探究等对学生认知水平的研究,但对学生学习坐标系与参数方程中出现认知错误的具体原因的分析非常少,针对学生学习困难的教学对策和方案更是寥寥无几。针对以上情况,本研究对学生在坐标系与参数方程学习中的认知错误进行了分析研究,并在此基础上,有针对性地实施了相应的教学对策。本研究主要采用质的分析方法来分析问卷调查和坐标系与参数方程知识测试中学生表现出的学习认知情况。研究确认了学生在坐标系与参数方程的学习过程中容易产生的以下的认知错误类型:对极坐标系和参数方程概念、公式理解的困难;三种方程转换不到位;对变量取值范围的分析欠缺;对各方程的综合应用能力不强。针对上述学生在学习中易产生的认知错误,本研究采取以下的教学对策来纠正学生相应的认知错误:精心设计导学案,促进学生对概念和公式的学习认知;加强学生对方程转化实质的理解;培养学生全面思考问题的能力;加强综合技能与运用知识的训练;反思能力培养。相信,本研究对于进一步提升高中生的坐标系与参数方程学习能力具有积极的现实意义。
[Abstract]:The reform of mathematics curriculum has been carried out all over the country. The teaching of "coordinate system and Parameter equation" has received widespread attention from teachers in the first line. On the one hand, it is due to the tense teaching hours and the excessive pressure on students to learn. On the other hand, coordinate system and parametric equation are difficult for students to grasp because of their abstractness. However, most of the existing studies are about the analysis of teaching content, problem-solving strategies, college entrance examination and other research on the cognitive level of students, but there is very little analysis of the specific causes of cognitive errors in the coordinate system of students' learning and parameter equations. There are few teaching strategies and programs for students with learning difficulties. In view of the above situation, this study analyzes and studies the cognitive errors of students in learning coordinate system and parametric equation, and on this basis, carries out the corresponding teaching countermeasures. This study mainly uses qualitative analysis method to analyze the learning cognition of middle school students in questionnaire survey and coordinate system and parameter equation knowledge test. The research confirms the following types of cognitive errors that students can easily produce in the learning process of coordinate system and parametric equation: the difficulty of understanding the concepts of polar coordinate system and parametric equation, the difficulty of understanding the formula, the inadequate conversion of three kinds of equations, the difficulty of understanding the polar coordinate system and parametric equation. The analysis of the range of variables is lacking, and the comprehensive application ability of each equation is not strong. In view of the cognitive errors easily produced by the above-mentioned students in their study, the following teaching strategies are adopted to correct the students' corresponding cognitive errors: carefully designing the guided case to promote the students' cognition of concepts and formulas; To strengthen students' understanding of the essence of equation transformation; to cultivate students' ability to think about problems in an all-round way; to strengthen the training of comprehensive skills and the application of knowledge; and to cultivate the ability of reflection. It is believed that this study has positive practical significance for improving the learning ability of coordinate system and parametric equation of senior high school students.
【学位授予单位】：贵州师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2443128
[Abstract]:The reform of mathematics curriculum has been carried out all over the country. The teaching of "coordinate system and Parameter equation" has received widespread attention from teachers in the first line. On the one hand, it is due to the tense teaching hours and the excessive pressure on students to learn. On the other hand, coordinate system and parametric equation are difficult for students to grasp because of their abstractness. However, most of the existing studies are about the analysis of teaching content, problem-solving strategies, college entrance examination and other research on the cognitive level of students, but there is very little analysis of the specific causes of cognitive errors in the coordinate system of students' learning and parameter equations. There are few teaching strategies and programs for students with learning difficulties. In view of the above situation, this study analyzes and studies the cognitive errors of students in learning coordinate system and parametric equation, and on this basis, carries out the corresponding teaching countermeasures. This study mainly uses qualitative analysis method to analyze the learning cognition of middle school students in questionnaire survey and coordinate system and parameter equation knowledge test. The research confirms the following types of cognitive errors that students can easily produce in the learning process of coordinate system and parametric equation: the difficulty of understanding the concepts of polar coordinate system and parametric equation, the difficulty of understanding the formula, the inadequate conversion of three kinds of equations, the difficulty of understanding the polar coordinate system and parametric equation. The analysis of the range of variables is lacking, and the comprehensive application ability of each equation is not strong. In view of the cognitive errors easily produced by the above-mentioned students in their study, the following teaching strategies are adopted to correct the students' corresponding cognitive errors: carefully designing the guided case to promote the students' cognition of concepts and formulas; To strengthen students' understanding of the essence of equation transformation; to cultivate students' ability to think about problems in an all-round way; to strengthen the training of comprehensive skills and the application of knowledge; and to cultivate the ability of reflection. It is believed that this study has positive practical significance for improving the learning ability of coordinate system and parametric equation of senior high school students.
【学位授予单位】：贵州师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
【参考文献】
相关期刊论文 前2条
1 王磊;;高中数学“坐标系与参数方程”的教学研究[J];高中数理化;2013年12期
2 蒋海瓯;;坐标系和参数方程题型与高考走势[J];中学教研(数学);2009年03期
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