【作者】 陈祥丽；

【导师】 梅全雄；

【作者基本信息】 华中师范大学 ， 学科教学， 2008， 硕士

【摘要】 数学教育的研究普遍认为数学教学要重视做数学这一过程。计算机技术的发展使数学实验成为辅助数学教学的一个重要方式,它可以帮助人们实现做数学的设想。数学实验为学生提供充分的机会,使他们积极参与数学发现以及方法的应用的过程。计算机辅助数学实验教学应用在高中数学课堂教学中,可以充分结合计算机辅助教学和数学实验的特点,将某些数学知识的发生、发展变化过程设计为数学实验,充分利用计算机的易操作性,通过学生的动手操作实验,使学生变被动的接受学习转为主动的探索发现过程。本文在对普通高中数学课程标准的解读和对普通高中数学课程标准实验教材内容分析的基础上,从计算机辅助数学实验教学层面对高中数学实验教学内容选取原则(实用性、量力性、趣味性、计算机辅助性),教学过程的基本环节(动手实验,讨论交流,归纳猜想,验证与数学化),教学组织方式(情景教学法、观察发现教学法、讨论与对话教学法、自学引导教学法)等相关内容进行阐述,对高中数学各种实验教学类型和教学环节进行归纳整理。建设性的提出在数学实验教学中可通过教学目标明确化、教学软件操作简单化、教学方法多元整合化、课堂教学内容的情景化、实验教学操作活动的功能性内化、课堂交流的互动化、教学组织安排灵活化等策略优化数学实验教学过程以达到最佳的教学效果。更多还原

【Abstract】 The research on mathematics education generally showed that great emphasis should be put on the process of learning mathematics. With the development of the computer technology, people get another important teaching method--mathematics experiment, which can make tentative plan come true. The mathematics experiment provides the full opportunity for students to participate actively in the process of mathematics discoveries and the application of methods. And the application of the computer-assisted mathematics experimental teaching in the secondary school may unify the computer-assisted teaching and mathematics experiment’s characteristics, hence making it possible to design the occurrence and the development of the mathematics knowledge into experiments. By means of computer-assisted experimental mathematics teaching, students can explore the knowledge actively instead of accepting it passively.This dissertation has provided an induction and reorganization of different kinds of experimental teaching and the procedure. And it also has elucidated some relevant teaching principles: principle of choosing the teaching content (i.e. practical, appropriate, interesting, computer-assisted.), the basic procedure of teaching (i.e. by way of the experiment, discussion, induction of assumptions, confirmation and mathematization), the methods of teaching arrangement (i.e. the scene teaching method, the observation discovery teaching method, the discussion and the dialog teaching method, self-teaching and teacher-guidance ). At the same time, the author holds that the process of experimental mathematics teaching can be optimized by using different strategies, including clarifying the teaching goals , simplifying the teaching software operation, integrating the teaching methods, simulating the teaching content, internalizing the function of the experiment teaching operation activities, interacting the classroom communication, and making the teaching organization flexible.更多还原