《课程标准》要求数学课堂教育教育不仅要传授基本知识和基本技能,而且还要要培养学生能力。对学生数学能力的培养存在一些突出问题,主要表现在:一是教师对数学能力的结构认识不清(如观察能力、分析能力、发散思维能力等),分类较为混乱。目前提到的许多能力,种类繁多,令人眼花缭乱。二是培养能力的实际教学工作中,多数教师不能采取有效措施,学生的能力并未得到有效提高。高中数学课程所提到的多种能力,大致可以按以下三种不同的分类标准来划分。 “Curriculum standards” require that mathematics classroom education not only teach basic knowledge and basic skills, but also develop students’ abilities. There are some prominent problems in the cultivation of students’ mathematical abilities. The main problems are as follows: First, the teachers are not clear about the structure of mathematical ability (such as observation ability, analytical ability, divergent thinking ability, etc.) and the classification is rather confusing. Many of the capabilities currently mentioned are numerous and dazzling. Second, in practical teaching to cultivate abilities, most teachers can not take effective measures and their abilities have not been effectively improved. The multiple abilities mentioned in the high school mathematics curriculum can be roughly divided by the following three different classification criteria.