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新课标指出:“通过义务教育阶段的数学学习,学生能够获得适应未来社会生活和进一步发展所必需的重要数学知识(包括数学事实、数学活动经验)以及基本的数学思想方法和必要的应用技能”所谓数学思想,是指人们对数学科学研究的本质及规律的理性认识。初中阶段常见的数学思想包括:函数与方程思想、化归思想、分类讨论思想、数形结合思想等。其中分类讨论思想是初中数学中最常
The new curriculum standard states: “Through the mathematics study in the compulsory education phase, students can acquire important mathematical knowledge (including mathematical facts and mathematical activity experiences) necessary for future social life and further development as well as basic mathematical thinking and necessary applications Skills ”The so-called mathematical thinking refers to people’s understanding of the nature and law of mathematical science research. Common junior high school mathematics ideas include: the thought of function and equation, the thought of change, the discussion of classification, combination of ideas and so on. Among them, the idea of category discussion is the most common in junior high school mathematics