We explore the potentials of open source education from the viewpoint of an axiomatic approach of cyberworlds adopting an approach to study "a basic 4 step reasoning"; axiom, theorem, implementation and proof. The first step is finding the "four axioms of cyberworlds" no1: the power area size is in proposition to the information speed. No2: the power period is in inverse proportion to the information speed. No3: in the evolutionary power, borrowing and utilizing functions exceed owned functions. No4: the concept as an assumption "information inertia". The second step is "theorem" formation as the prediction derived from the axioms. No1: nonlinearity and quality dominate the world power shift in the cyberworld era. No2: to enjoy sharing unlimited resources make the world stable by its cooperation processes. The third step is the "implementation" as "conceptual education-models" for producing global commons. The fourth step is the "proof" of the social impacts of "conceptual education-models" to make the open source movement succeed from the point of view of "network science". Steven Weber argued a set of general hypotheses as conclusion to succeed the open source. However he had paid less attention to an axiom, which is based on his argument. His argument is focused on the social organization of cooperation and production, not on the evolution of societies. In this paper we argued the potentials of open source style education to make the open source movement succeed. In using "conceptual education-models", we can prove two propositions. The first is that the open source style education is the most essential for the success of the open source movement. The second is that the success of the open source movement makes our society networked and digitized perfectly. We propose here "conceptual education-models" based on a "scale free network model" where the open source style education works efficiently as money did in the capitalistic market