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学习数学,不仅要掌握数学知识,更要学好数学思想方法.因为任何数学问题的最终解决,都是以数学思想为指导而完成的.所以,数学思想的学习是非常重要的.现就初一《代数》(上)中涉及到的数学思想方法,作一归纳. 一、抽象化的思想 这是数学中最基本、最重要的思想之一.用抽象的字母表示数,用抽象的代数式表示数量关系,这就是抽象化思想的具体表现.它可以更普遍地说明数量关系,精确地表达数学问题.例如,若n表示整数,则任何一个偶数可表示为2n,任何一个奇数可表示为2n+1. 用字母表示数,还可以使抽象的问题具体化,复杂
Learning mathematics is not only to master mathematics knowledge, but also to learn mathematics ideas and methods. Because the ultimate solution to any mathematics problem is based on the guidance of mathematics. Therefore, the study of mathematics is very important. The mathematical thinking methods involved in Algebra (above) are summarized. First, the idea of abstraction This is one of the most basic and important ideas in mathematics. The number is expressed in abstract letters and expressed in abstract algebraic expressions. Quantitative relations, this is a concrete manifestation of abstract ideas. It can be more general description of quantitative relations, accurate expression of mathematical problems. For example, if n represents an integer, any even number can be expressed as 2n, any odd number can be expressed as 2n +1. Using letters to represent numbers, you can also make abstract problems concrete and complicated.