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In this paper, we use activity theory to analyze the process and out come of mathematic learning by using MEOG (Multi-User Educational Online Game) based on the previous research (Gwo-Dong Chen, Gee-Yu Shen, 1997) described a multi-user educational online games which can motivate and guide students to learn and practice courses on the web. In order to reduce the obstacle of MSEOG applying in instructional activity in classroom, first, we adopt the factors of motivation as outcome and decided the tools and rule by found the cue in the questionnaires and server log. Second, we consider events of instruction and learning phrases (Gagne) and using Machine Learning Technique to get the potential rule (activity theory). From these, we want to develop a methodology to get stability of guiding online game applying in instruction of

A MULTI-USER EDUCATIONAL ONLINE GAME WITH WEB BASED MATHEMATIC LEARNING BY USING ACTIVITY THEORY ANALYSIS