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通过对高中数学参考书《高考中的数学思想方法》的阅读,提出自己的一些认识。文章首先以模式的分析、建构、应用为主线,以现代观点审视数学,明确指出模式(pattern)与模型(model)是两个既有区别又有联系的概念,澄清模糊不清甚至错误的认识;然后,从哲学、逻辑和数学的角度分析模式的本质,建立正确的模式和量化模式概念(Quantifiable pattern)。
Through high school mathematics reference book “college entrance examination of mathematical thinking method” reading, put forward some of my own understanding. First of all, the article takes the mode analysis, construction and application as the main line and examines the mathematics from the modern viewpoint. It clearly points out that the pattern and the model are two concepts of distinction and connection, clarifying the unclear and even wrong understanding Then, analyze the nature of the model from the perspective of philosophy, logic and mathematics, and establish the correct pattern and Quantifiable pattern.