数学观问题研究及其启示

Reviewing and Reflecting on Views of Mathematics

在数学教育领域,数学观的研究主要集中在三个方面:(一)数学教育领域需要怎样的数学观?(二)数学教育领域现有的数学观念形态是怎样的?(三)数学教育中教师和学生是怎样发展他们的数学观的?数学观是人们在做数学的过程中形成的对"什么是数学"问题以及数学的基本特征的根本看法和认识;不存在所谓"正确的数学观",数学教育需要合理的数学观;在数学教育中要注意改进教师与学生中的片面而不合理的数学观;应试教育背景下,对于教师教学的限制确实从负面影响了我国师生数学观念的形成和发展,这是数学教育应该注意的重要问题。

Views of mathematics are something basic in the philosophy of mathematics. In recent years, teachers and students＇ views of mathematics have been a focus in the field of mathematical education. Researches on views of mathematics focus on three aspects： （1）Which views of mathematics are necessary in the field of mathematical education？ （2）How are the views of mathematics formed by teachers and students in these years？ （3）How teachers and students develop their views of mathematics？ In mathematics education it is of necessity to correct sided and unreasonable views of mathematics held by teachers and students. Under the exam-oriented circumstances, the limitation on teaching has had adverse effect on the formation and development of views of methematics, which deserves attention in methematics education.