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“球面上的几何”教学设计与实验研究

Instruction Design of "Spherical Geometry" and Experimental Study

【作者】 王功琪

【导师】 张洪林;

【作者基本信息】 贵州师范大学 , 课程与教学论, 2008, 硕士

【摘要】 2003年4月教育部颁布了《普通高中数学课程标准(实验)》,该标准第一次大量引入选修专题,这些专题内容新颖,对中学数学教师的教学提出了严峻挑战。球面上的几何是其中专题之一,很多教师对本专题内容感到很陌生,无法进行教学。因此,在高师生走出校门之前能得到相关的关于高中选修课程学习是非常必要的。基于以上原因对高师生作“球面上的几何”教学设计研究。本研究首先对贵州省高中教师和高师生作关于“球面上的几何”了解情况问卷调查,确定进行教学设计的必要性,然后根据球面上的几何自身具有的逻辑体系,采用现代教学设计的“系统设计法”,其中包括学习需要分析、教学内容分析、学习者分析教学策略选择、教学过程确定、教学资源开发、教学实施、教学评价等环节。其次,本研究进行了“球面上的几何”这一选修专题的实验班教学,对所作的教学设计的科学性、所编教材的有效性进行了实践检验,结果表明:“球面上的几何”教学设计方案是可行且有效的。同时,类比方法是学习球面几何最常用的方法;对学生的学业评价应采用多种评价方式结合。最后对本研究的不足进行总结并提出本研究的一些展望。

【Abstract】 Mathematic curriculum standard (laboratorial version) of senior high schools was issued in April, 2003. A lot of selected topic was fixed in this curriculum standard for the first time. These content of selected topic are new and frontier, it is a severe challenge to the senior high school teachers.“Spherical Geometry”is the one of selected topic, many teachers feel more strange and difficult to teach. Therefore, it is necessary for the normal university students to learn about selected topic of senior high schools before they graduate. So it is meaningful to study“Spherical Geometry”instruction design to the normal university students.Firstly, this study investigated by questionnaire to senior high school teachers and the normal university students of Guizhou province about“Spherical Geometry”,It sures the necessity of instructional design of Spherical Geometry. A systematic instructional design about Spherical Geometry based on their logical system. including the learning analysis, contents analysis, strategies making, fixing of teaching process, exploitation of instructional resource, implement, and evaluation were made.Secondly, the experimental work about“Spherical Geometry”has been carried out so that above-mentioned instruction design can be tested. The results show that setting instruction design program about Spherical Geometry is feasible. At the same time, analogy is used most frequently at learn Spherical Geometry; student’s school work evaluation should adopt diverse evaluate methods; the writing of the teaching material should perfect step by step in practice.Finally, Summarize this study’lacking and prospect.

  • 【分类号】G633.6
  • 【被引频次】1
  • 【下载频次】251
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