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“初中义务教育大纲”中指出:基础知识包括代数、几何中的概念、法则、性质、公式、公理、定理等,以及由其内容所反映出来的数学思想和方法。因此,中考复习不仅要使学生牢固掌握知识和解题的技能,还要掌握蕴含于其中的数学思想。 数学思想是人们对数学本质认识的反映,是数学思维的结晶和概括,是解决数学问题的“灵魂”。它具有本质性、概括性和指导性意义。因此,中考复习过程中,教会学生如何运用数学思想去分析问题和解决问题,就能从本质上认识数学,优化思维品质,提高解题能力。
The Outline for Junior High School Compulsory Education states that basic knowledge includes algebra, concepts, laws, properties, formulas, axioms, and theorems in geometry, as well as the mathematical ideas and methods reflected by their contents. Therefore, the review of the examination should not only enable students to firmly grasp the knowledge and problem-solving skills, but also grasp the mathematical ideas contained in it. Mathematical thinking is the reflection of people’s understanding of the nature of mathematics, the crystallization and generalization of mathematical thinking, and the “soul” of solving mathematical problems. It has essential, general and guiding significance. Therefore, in the process of reviewing the senior high school entrance examination, students are taught how to use mathematics ideas to analyze problems and solve problems, so that they can understand mathematics, optimize the quality of thinking, and improve the ability to solve problems.