超级画板支持下的HPM教学案例探究

发布时间：2018-02-03 04:24

本文关键词： 数学史数学教育 HPM 超级画板教学案例设计　出处：《华中师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：将数学史融入数学课堂已经得到广大一线数学教师的普遍赞同与支持.数学史以教材、读本,选修课和专题研究的形式呈现在中学数学课堂里,其核心价值在于提高学生学习数学的积极性,从而提高课堂效率.注重数学史的教育价值,借助教学了解所学知识的发生发展过程,让学生了解数学知识的起源和成因,是构建高校课堂的有效途径.数学教育可以数学史中吸取养料,来丰富数学的学与教.然而,鉴于缺少有效的信息技术环境的支持,数学史中一些具有教育价值的的东西虽然能作为一线教师的备课素材,但却暂时还无法进入数学课堂教学中.在当前我国教育改革不断前行的大环境下,随着数学课程的改革的进行,一大批信息技术支持下的融合的理论开始涌现,新的理论成果也开始被世人关注,在当前的改革环境下,信息技术支持下的教育取向的数学史已经被当作探索数学课程改革的一种有效方式.超级画板是一款易学易用且功能丰富的数学教学软件,除具有动态几何功能外,还支持符号计算、几何推理、简单编程等几乎所有的中小学所需的计算机辅助教学与学习的功能.近20年来,超级画板获得了越来越多的师生和专家学者的认同,许多教师从中体会到了超级画板在辅导教学方面的巨大作用,涌现了一些优秀教师和作品.在超级画板的支持下,将数学史融入数学教学中,枯燥乏味的数学教学显得生动形象,数学课堂的学习氛围也变得宽松,学生在学习中的积极性和求知欲也将得到延续,学生的主体性得到了极大的发挥.全文有四个部分组成：第一部分：绪论.主要指出本文的研究背景、国内外研究情况、研究内容、研究目标、研究价值、研究方法和重点研究的问题.第二部分：文献研究.主要论述了教育取向数学史的必要性、理论依据和方法以及怎样借助超级画板支持教育取向的数学史.第三部分：HPM教学案例.主要展示本人在研究生期间借助超级画板开发的HPM教学案例.第四部分：结语.主要论述本人的一点想法与展望.希望通过本研究,能够让很多教师了解教育取向数学史的作用,同时能够掌握信息技术支持开发的HPM教学案例方法,为其教学提供便利.
[Abstract]:The integration of mathematics history into mathematics classroom has been generally approved and supported by the majority of first-line mathematics teachers. The history of mathematics is presented in the middle school mathematics classroom in the form of teaching materials, reading books, elective courses and special research. Its core value is to improve the enthusiasm of students to learn mathematics, thus improve the efficiency of the classroom, pay attention to the educational value of mathematics history, with the help of teaching to understand the occurrence and development of the knowledge learned process. It is an effective way for students to understand the origin and cause of mathematics knowledge. Mathematics education can enrich the learning and teaching of mathematics by absorbing nutrients from the history of mathematics. In view of the lack of effective information technology environment support, some of the history of mathematics has educational value, although it can be used as a first-line teachers' lesson preparation material. However, it has not been able to enter the mathematics classroom teaching for the time being. With the reform of mathematics curriculum, a large number of theories of integration under the support of information technology began to emerge in the current educational reform environment of our country. New theoretical results are also beginning to be concerned by the world, in the current reform environment. The history of mathematics oriented education under the support of information technology has been regarded as an effective way to explore the reform of mathematics curriculum. Super Sketchpad is an easy-to-learn and functional mathematics teaching software. In addition to the dynamic geometric functions, it also supports symbolic calculation, geometric reasoning, simple programming and other functions of computer-aided teaching and learning in almost all primary and secondary schools. Super Sketchpad has been recognized by more and more teachers and students as well as experts and scholars. Many teachers have realized the great role of Super Sketchpad in tutoring teaching. Some excellent teachers and works have emerged. With the support of super drawing board, the history of mathematics is integrated into mathematics teaching. The boring teaching of mathematics is vivid and the learning atmosphere of mathematics classroom is also relaxed. Students' enthusiasm and desire to learn will also be continued, students' subjectivity has been greatly brought into play. The full text has four parts: the first part: introduction. Mainly points out the research background of this paper. Domestic and foreign research situation, research content, research objectives, research value, research methods and key research issues. Part two: literature study. Mainly discusses the necessity of mathematics history of educational orientation. Theoretical basis and method and how to support the Mathematical History of Educational orientation with the help of Super Sketchpad. Part three:. HPM teaching case. Mainly show the HPM teaching case that I developed with super drawing board in my graduate school. Part 4th: conclusion. I mainly discuss my thoughts and prospects. I hope to pass this research. It can make many teachers understand the function of the history of education orientation mathematics, at the same time, it can master the HPM teaching case method which is supported by information technology, and provide convenience for its teaching.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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