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数学思想较之数学基础知识,有更高的层次和地位。它蕴涵在数学知识发生、发展和应用的过程中,它是一种数学意识,属于思维的范畴,用以对数学问题的认识、处理和解决。数学方法是数学思想的具体体现,具有模式化与可操作性的特征,可以作为解题的具体手段。只有对数学思想与方法概括了,才能在分析和解决问题时得心应手;只有领悟了数学思想与方法,书本的、别人的知识技巧才会变成自己的能力。
Mathematical thinking than the basic knowledge of mathematics, a higher level and status. It is implicated in the occurrence, development and application of mathematical knowledge. It is a kind of mathematical consciousness, belonging to the category of thinking, which is used to recognize, handle and solve mathematical problems. Mathematical method is a concrete manifestation of mathematical thinking, with the characteristics of moderation and operability, as a concrete solution to problems. Only by summarizing mathematical ideas and methods can they be handy when analyzing and solving problems. Only by comprehending mathematical ideas and methods, books and other people's knowledge and skills can become their own capabilities.