For architect engineers it is very important to know geometric surfaces in order to use them in the design of buildings. Architectural objects, other than functional, should also satisfy the aesthetic criteria which is achieved through design. The existence of different software packages for modeling like Rhinoceros, with additional programs (Grasshopper), allows doing the rational design and construction of these architectural objects. All these facts were noticed by the authors of this paper, which was further followed by giving the students of Faculty of Civil Engineering and Architecture in Niš, an elective subject Geometric surfaces in architecture in the school year of 2009/10. The content of this subject includes study of all geometric surfaces in architecture practice. The importance of studying Geometric surfaces for students of architecture was noticed by the Faculty of Engineering and Design, Hosei University in Tokyo, Japan, which resulted with offering this elective subject to the students in the school year of 2017/18. The students of both faculties have learned to recognize geometric surfaces and how to apply them in complex geometric forms with attractive appearance. In this paper, the work on both faculties will be shown as they are different, the results will be compared, similarities and differences of working on two different continents. With proper analysis it is possible to make a model of study for this subject in different educational systems.