基于图形分析的初中几何变式教学的应用探究
发布时间：2018-08-16 10:16
【摘要】：在初中几何的教学中,笔者发现学生在学习几何时没找到方法,辨图、识图、想图、画图的能力较差,对于图形或条件相似的题目,学生经常会审题不清或犯思维定势的错误。如何避免或减少这些错误,提高课堂的效率和学生的数学成绩、发展学生的数学能力?变式教学集成了中国数学教学的主要特征,作为一种应用广泛的教学手段和教学思想也早已深入到数学的教学活动中。本文采用文献分析法对变式、数学变式、变式教学、基本图形等概念进行界定,并对变式教学在初中几何中的应用理论进行全面系统的梳理,概括介绍了变式教学的意义及教学原则,同时整理了国内外的学者们对变式教学开展的研究。接着结合初中几何的教学内容以及学生在学习中出现的典型错误进行变式教学的实践研究。并从数学概念变式、数学过程变式、数学应用变式几个方面结合教学案例进行分析,通过访谈、测试或者作业的反馈情况对教学效果进行反馈,体现出运用变式教学的可行性。最后,结合本研究对初中平面几何的变式教学提出建议,指出本文研究的局限性及未来可进一步研究的方向。实践表明,在初中几何的教学中,适当地运用变式教学能激发学生学习数学的兴趣,提高课堂的效率与学生的成绩,同时也能发展学生的数学能力,培养他们良好的思维品质。
[Abstract]:In the teaching of geometry in junior high school, the author found that the students did not find a way to learn geometry, and the ability to distinguish pictures, read pictures, think pictures and draw pictures was poor. Students often fail to understand the problems or make mistakes in thinking patterns for subjects with similar graphics or conditions. How to avoid or reduce these mistakes, improve the efficiency of class and students' mathematics achievement, and develop students' mathematics ability? Variant teaching has integrated the main features of Chinese mathematics teaching, as a widely used teaching method and teaching thought, it has already been deeply into the teaching activities of mathematics. This paper uses the literature analysis method to define the concepts of variation, mathematical variation, variant teaching and basic graphics, and makes a comprehensive and systematic combing of the application theory of variant teaching in junior high school geometry. This paper briefly introduces the significance and teaching principles of variant teaching, and at the same time arranges the research on variant teaching carried out by scholars at home and abroad. Then, combining the teaching content of geometry in junior high school and the typical mistakes made by students in learning, the practical research on variant teaching is carried out. And from the mathematical concept variant, mathematical process variant, mathematical application variant several aspects combined with the teaching case analysis, through interviews, tests or homework feedback to the teaching effect of feedback, reflect the feasibility of using the variant teaching. Finally, based on this study, the author puts forward some suggestions for the teaching of plane geometry in junior high school, and points out the limitations of this study and the directions for further study. The practice shows that in the teaching of geometry in junior high school, proper use of variant teaching can stimulate students' interest in learning mathematics, improve the efficiency of class and students' achievement, at the same time, it can also develop students' mathematics ability and cultivate their good thinking quality.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2185681
[Abstract]:In the teaching of geometry in junior high school, the author found that the students did not find a way to learn geometry, and the ability to distinguish pictures, read pictures, think pictures and draw pictures was poor. Students often fail to understand the problems or make mistakes in thinking patterns for subjects with similar graphics or conditions. How to avoid or reduce these mistakes, improve the efficiency of class and students' mathematics achievement, and develop students' mathematics ability? Variant teaching has integrated the main features of Chinese mathematics teaching, as a widely used teaching method and teaching thought, it has already been deeply into the teaching activities of mathematics. This paper uses the literature analysis method to define the concepts of variation, mathematical variation, variant teaching and basic graphics, and makes a comprehensive and systematic combing of the application theory of variant teaching in junior high school geometry. This paper briefly introduces the significance and teaching principles of variant teaching, and at the same time arranges the research on variant teaching carried out by scholars at home and abroad. Then, combining the teaching content of geometry in junior high school and the typical mistakes made by students in learning, the practical research on variant teaching is carried out. And from the mathematical concept variant, mathematical process variant, mathematical application variant several aspects combined with the teaching case analysis, through interviews, tests or homework feedback to the teaching effect of feedback, reflect the feasibility of using the variant teaching. Finally, based on this study, the author puts forward some suggestions for the teaching of plane geometry in junior high school, and points out the limitations of this study and the directions for further study. The practice shows that in the teaching of geometry in junior high school, proper use of variant teaching can stimulate students' interest in learning mathematics, improve the efficiency of class and students' achievement, at the same time, it can also develop students' mathematics ability and cultivate their good thinking quality.
【学位授予单位】：南京师范大学
【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1条
1 廖顺宏;立体几何教学中图形变式功能之我见[J];数学通讯;1999年10期
相关硕士学位论文 前1条
1 张惠添;变式教学在初中数学教学中的应用探究[D];广州大学;2012年
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