Discussion on computer pedagogy guided by CC2001 is still hot, but seldom appli- cations in constructivist learning theory have been taken into practice. This paper presents some detailed pedagogical contents and pedagogical methods executed in our system which is running on local department at present. This paper is organized as follows: first part is the concept and teaching method of constructivism. Second part provides the design principle of GV course. CVCS1.1 and GraphVCF1.0, two effi- cient virtual platforms will be introduced in the third part. At the third part, we will present teaching control methods. Finally, the conclusion is drawn.