综观世界各国教学大纲 ,无不把培养学生独立思考的能力放在较为突出的位置 .我国中学数学教学大纲中 ,除了对基本知识、技能、思想方法及四大能力提出具体要求外 ,还明确提出“要重视培养学生独立思考和自学能力” .因此 ,培养学生独立思考的能力 ,是中学数学教育的目标之一 . Looking at the syllabuses of all countries in the world, we all place the ability to train students thinking independently. In addition to the specific requirements for basic knowledge, skills, ideological methods, and the four major abilities, the middle school mathematics syllabus in our country clearly states that Emphasis should be placed on cultivating students’ ability for independent thinking and self-study." Therefore, the ability to train students to think independently is one of the objectives of mathematics education in middle schools.