“数学实验法”在“混沌”教学中的应用

The Signification of "Method of Mathematics’Test" in Chaos Teaching

混沌科学作为研究复杂问题的前沿科学,在被世界科学家关注的同时,也被各国科学教育工作者所关注.如何通过混沌知识学习,使学生理解混沌科学的革命性观念、丰富的哲学内涵、对复杂问题的认识和研究复杂问题方法,是摆在教师面前的一个重要问题.通过教学研究和实践,将"数学实验法"应用在"混沌"教学中——即由物理情境建立物理模型,再建立对应的数学模型,用计算机进行数值解,用图象展示混沌系统发生、发展过程并结合物理过程的发展进行分析,是使学生理解混沌科学研究的有效方法.

The Chaos is a newly science for complex problems.The scientists are researching it and science educators keeping an eye on it.It is important question that how to understant the iders,meanings,and method of Chaos for students.Based on the teaching research,we consider that： It is availability method by mathematics’test in Chaos teaching.i.e.from physics circumstance to physics model,and to mathematics model.By numeral calculate with computer and laying out the process of chaos system’s occurring and growing with computer’s image.