高等几何课程中作图问题的教学研究

Graphic problemin higher geometry

作图题在高等几何课程教学中发挥着不可替代的作用.作图问题主导下的高等几何课程教学改革包括以下6个方面:以作图问题激发学生学习兴趣,让学生带着问题去学习;用作图问题引出相关知识教学;结合几何画板,用作图练习来锻炼学生的动手能力;作图问题的一题多解能够强化知识之间的联系;通过作图问题锻炼学生思维的严密性;用附加限制的几何作图问题来提升学生的发展潜力,挖掘学生的创新能力.

Graphic problem in the teaching of higher geometry plays an important role.The teaching reform of higher geometry under the guidance of graphic problem includes the following six aspects： stimulating students＇ interest in learning,to enable students to learn with a problem; use questions to elicit the related knowledge of teaching; training the students＇ practical ability with the geometer＇s sketchpad; drawing more than one solution to a problem can strengthen the links between knowledge; training students＇ thinking rigour; enhancingthe development potential of students and developingstudents＇ innovation ability.