In this research, a comparison was made between American and Chinese curriculum from the three aspects: the idea of geometry curriculum, the selection topics in geometry content, and implementation of geometry curriculum.

The changes of the aims and the contents of the primary geometry curriculum require us to study the development rules and levels of the spatial sense of the students.

Through the process of development of Mathematics Curriculum Standard, Mathematics Teaching Program and geometry textbooks, this article analyzed and compared geometry curriculum of China, U.

Since more than one century the aim and content of the geometry curriculum of the primary and middle schools have been the focus of the disputation and concerned about by the people.

Substantial work in accordance with the new curriculum idea,in terms of course setting,teaching materials compiling,teaching design and assessment,will great.

In fact, the competency-based curriculum idea is not just limited to specific course mode like CBE; in essence, rather than put more stress on skills than knowledge,it acknowledges the significance of working knowledge in vocational education, instead, and it pays attention to students\' subjective role; it also has comprehensive understanding to capacity, not limited to "task skills".

The promulgation of new mathematics course standard brought the new course principle.

Content: The dissertation concentrates on behavior, effect and malpractice of modernism curriculum ideas and carries on deep reflections and reconstructions for them.

On basis of essence of open course concept,this article discusses the necessity to establish open course concept and basic requirements for Chinese teachers.

In the process of lately new curriculum reform,there are obvious defects about the Chinese teachers course concepts and knowledge structures,as well the relations between teaching methods and learning skills.