数学教育不仅要传授知识,而且要培养能力,这一点已越来越引起人们的重视。近年来,一些数学教育工作者对如何培养学生的数学能力进行了研究,取得一定成果。但目前,对数学能力的认识及培养还存在一些问题,较突出的表现为:一是对数学能力的结构认识不清,分类较为混乱。目前提到的许多能力,如观察能力、运算能力、发散思维能力等,种类繁多,令人眼花缭乱。二是培养能力的呼声很高,但实际教学中,并没有多少人采取有效措施,学生的能力并未得到充分发展。本系列讲座拟就这些问题谈谈自己的观点。 Mathematics education is not only to impart knowledge, but also to cultivate ability, which has increasingly attracted people’s attention. In recent years, some mathematics educators have conducted research on how to develop students’ mathematical ability and achieved certain results. But at present, there are still some problems in the understanding and training of mathematics ability. The more outstanding performance is as follows: First, the structure of mathematics ability is unclear and the classification is confusing. Many of the capabilities mentioned so far, such as observation capabilities, computational capabilities, and divergent thinking skills, are numerous and dazzling. The second is that the voice of cultivating abilities is high, but in actual teaching, not many people take effective measures and the students’ abilities have not been fully developed. This series of lectures will talk about these issues on their own point of view.