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下面发表的清华附中孔令颐老师、浙江宁海中学杨象富老师的文章,给我们提出了一个富有启发性的问题,即如何培养学生的数学能力,尤其是如何培养学生创造性的数学能力。这两篇文章中提出的一些观点,如培养能力首先要从考试的束缚下解脱出来;充分相信学生的潜能;善于抓住存在于学生中的创造思维的闪光点;密切与正课内容结合等等都是值得我们研究的。至于培养方式除采用写小论文的方式外还可有其它方式。文章还告诉我们一个很重要的道理:只要我们卓有成效地培养学生能力,那么学生必然会取得良好的考试成绩,相反若教学摆脱不了考试的束缚,实践证明,必将作茧自缚。 在数学教学中培养能力问题已提出数年了,但到底在数学教学中要培养哪些能力?它们各自的含义是什么?传统的提法有哪些不合适等问题都还没有彻底解决,而这又关系到教学的科学化,进而关系到学生的数学素质的大问题,本刊热切希望读者就此多发表意见。
The article published below by Tsinghua High School Senior High School Volunteer Kong Lingyi and teacher from Zhejiang Ninghai Middle School Yang Xiangfu presented us with an enlightening question on how to develop students’ mathematics ability, especially how to cultivate students’ creative mathematics ability. Some of the viewpoints put forward in these two articles, such as the ability to develop, must first be freed from the constraints of the examination; fully believe in the potential of students; be good at grasping the bright points of creative thinking existing in students; All are worth our research. As for the training methods, there are other methods besides writing small papers. The article also tells us a very important truth: As long as we are effective in cultivating students’ abilities, students will inevitably obtain good test scores. On the contrary, if teaching can’t get rid of the constraints of the exam, practice will prove to be bound. The question of cultivating competence in mathematics teaching has been proposed for several years. However, what kind of ability should be cultivated in mathematics teaching? What are their respective meanings? What are the problems with the traditional formulation and other issues? With regard to the scientific nature of teaching and the major problems of students’ mathematics qualities, we are eager to express our opinions on this issue.