【作者】 饶永生；

【导师】 张景中； 李传中；

【作者基本信息】 广州大学 ， 课程与教学论， 2009， 硕士

【摘要】 大量的实践证明超级画板在基础数学教育中产生了积极作用,能够改善教学效果、提高学生成绩。目前,在诸多关于超级画板的研究中,几乎都集中在如何有效地应用于数学教育方面,而关于软件本身的研究则显得不足。同时,根据一线师生使用情况的反馈,超级画板一些功能需要进一步完善、作图效率有待进一步提高。为此,笔者着眼于超级画板软件的研究,主要涉及作图效率问题。首先分析了影响超级画板作图效率的因素,设计并实现了一个动态几何软件模型,在该平台上,实现了笔者设计的跟踪与迭代的改进方案。通过示例运行比较,发现基于新方案的程序运行时占用内存、CPU以及程序运行速度等方面有很大的改善,使软件的运行更为高效,优势明显。文章不是从应用的角度,而是从开发者的角度,进一步挖掘技术的潜力,提高超级画板的作图效率,为软件的下一步升级提供参考,使它朝着更方便、更高效、更有利于用户使用的方向发展,从而为广大师生提供更高效、更方便的智能教育软件,进而为超级画板更有效地运用于数学教育做贡献。文章共有六章:第一章是绪论。简要介绍文章的研究背景、主要工作和研究意义。第二章分析了影响超级画板作图效率的几个方面及其相关设计方案,阐述了这些方案的优缺点。第三章给出了动态几何软件模型的总体设计与实现,包括整体设计思想、主要功能的设计与实现以及几个动态几何作图效率问题分析。第四章和第五章是文章的重点,分别介绍了跟踪与迭代功能的新方案,分析了新方案的主要原理及优势,在动态几何模型的基础上实现了该方案,并进行实际案例比较分析。第六章是结论。介绍了文章工作的主要成果和创新之处,并总结了存在的不足,以及对今后工作的展望。更多还原

【Abstract】 Many practices prove the function of Super Sketchpad in the basic mathematics education, by enhancing the teaching effect and improving students’ score. Currently, most research on Super Sketchpad is about its application into mathematics education. Research on Super Sketchpad software itself is scarce, moreover, according to the reflection of teachers and students in the middle school, some of its function needs more improvement, particularly comparing to the other Dynamic Geometry software, and efficiency of Super Sketchpad’s construction needs complement.Therefore the research focuses on Super Sketchpad the software itself, involving the efficiency of construction. The research provides feasible design and proposal, trying to make the Super Sketchpad software more convenient, effective and better served for the mathematics education.The dissertation paper falls into six chapters.Chapter one is a brief introduction to state the background an significance of conducting this study.Chapter two analyzes factors that affect the Super Sketchpad construction efficiency and related design proposals, stating the advantages and disadvantages of these proposals.Chapter three states overall design and realization of Dynamic Geometry software model, including the overall design philosophy, design and realization of main function and problem analysis of Dynamic Geometry construction efficiency.Chapter four and chapter five is the focus of the dissertation paper, stating the new design of tracing and iteration, analyzing the main principle and advantages of new design, realizing the design on the basis of Dynamic Geometry Model, comparing and analyzing the case.Chapter six is conclusion, introducing the contribution and the originality of the research, summarizing the limitation, giving suggestions for the further research.更多还原