高中数学《立体几何》序言课教学的实践与研究

Practice and Research in ＂Solid Geometry＂ High School Mathematices Preamble Teaching

序言课的主要任务是揭示这门学科研究的对象、内容、解决问题的思想方法,它具有承上启下之作用。立体几何序言课以课本中的＂引言＂为主要教学内容,让学生对立体几何这门功课有一个粗略的整体性了解,在学习具体内容之前有一个积极的思想准备。立体几何课程是初等几何教育的内容之一,是在初中平面几何学习的基础上开设的,以空间图形的性质、画法、计算以及它们的应用为研究对象,以演绎法为研究方法。通过立体几何的教学,使学生的认识水平从平面图形延拓至空间图形,完成由二维空间向三维空间的转化,发展学生的空间想象能力,逻辑推理能力和分析问题、解决问题的能力。

The main task is to reveal the object of the lesson, the content and problem--solving way of thinking. The lesson takes the ＂introduction＂ as the main teaching content so that students can get a rough idea of the subject. Solid ge- ometry is one of the basic elements of elementary geometry education, the learning of which is based on the junior plane geometry that involves the nature of space graphics, drawing, computing, and their application for the study in a deduc- tive research method. After this lesson, students＇ levels of graphical application are expected to develop from the plane to the space graphics and from two-dimensional space to three-dimensional space. As a result, students＇ spatial imagina- tion, logical reasoning, analysis of problems and problem-solving abilities are sure to be greatly improved.