用数学实验探究数学中的美 周江 22.docVIP

用数学实验探究数学中的美 学 生：周江 指导老师：解继蓉 摘 要：数学实验早已有之.随着科技的进步，计算机的出现彻底改变了数学只用纸和笔进行研究的传统方式，给数学家的研究工作带来了最先进的工具，丰富的发展了“数学实验”的内涵.计算机为数学的应用提供了广阔的前景.马克思说过社会的进步就是人类对美的追求的结晶.罗素也说过，数学，如果正确地看，不但拥有真理，而且也具有至高的美.数学美感和审美能力是进行一切数学研究和创造的基础.数学实验能够创造性的应用在各个方面，设计数学实验探究数学中的美也就成为了必然趋势.通过利用图形计算器，设计数学实验，探究发现数学中的美，延拓美的外延，发展数学美学，推动数学发展进步具有重要作用.本文旨在运用数学实验，借助计算机平台，探究数学中的美，培养数学实验思维意识. 关键词：数学实验；计算机；实验设计；美 Using mathematical experiments to explore the beauty in mathematics Undergraduate：Zhoujiang Supervisor：XieJi rong Abstract:Mathematics experiment has already been done. With the progress of science and technology, the advent of the computer revolutionized the mathematics only a traditional way to study, pen and paper to mathematician brought the most advanced research tools, the development of the rich connotation of mathematics experiment. The computer provides a broad prospect for the application of mathematics. Marx once said the progress of the society is the crystallization of human pursuit of beauty. Russell said, mathematics, if correctly, possesses not only truth, but also has the supreme beauty. Mathematics aesthetic feeling and aesthetic ability is the foundation of all mathematics study and creation. Mathematics experiment can be creative in all aspects of application of design mathematics experiments to explore the beauty in mathematics also has become an inevitable trend. Through the use of graphing calculator, design mathematics experiment, the inquiry found beauty in mathematics, continuation extension of beauty, the development of mathematical aesthetics, the development of mathematical progress plays an important role. The purpose of this paper is to use mathematical experiment, with the aid of computer platforms, explore the mathematical beauty, cultivate mathematics experiment thinking consciousness. Key words:Mathematics experiment;The computer;The experiment design ; beauty 目 录 绪论 1 1数学实验 1 1.1数学实验概述 1 1.1.1数学实验的由来 1 1.1.2数学实验的研究背景 1 1.1.3数学实验的研究意义 2