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1 教学的模式观一百多年来,人们一直认为“纯数学的对象是现实世界的空间形式和数量关系”.“近年来出现了一种新的提法,即‘数学是关于模式和秩序的科学’.数学发展的历史告诉我们,数学有它本身发展的规律,即使对于科学技术发展中提出的问题,形成模型以后,它并不满足于解决到实际问题够用的程度为止,往往是脱离原来的具体背景,尽可能形成(可以研究的)一般模型进行研究,探究一般的理论和方法”,并以之作为研究与该模型有关问题的工具.我们称这种一般模型为数学模式.“要学懂数学就应该研究和表示模式间的关系;在复杂模糊的环
1 A model view of teaching For more than one hundred years, people have always believed that “the object of pure mathematics is the spatial form and quantity relationship of the real world.” “A new formulation has emerged in recent years, namely, ’mathematics is about patterns and order.’ The history of mathematics’ development of mathematics tells us that mathematics has its own laws of development. Even if the questions raised in the development of science and technology are modeled, it is not satisfied with the degree to which practical problems can be solved. It is often Divorced from the original concrete background, the general model (which can be studied) is formed as far as possible to study, and general theories and methods are explored, and used as a tool to study the problems related to the model. We call this general model mathematical model. "To understand mathematics it is necessary to study and express the relationship between patterns; in complex fuzzy circles