Experts from three different fields will cooperate to explore this study, including e-learning experts from Taiwan; data mining experts from Canada, and Artificial Intelligence experts from Germany. Through this new analysis technique (data mining), new discoveries can be concluded in the field of web-based mathematics competition. Researchers try to explore these relations between different students’ portfolios and achievements of Taiwan Web-based Mathematics Competition. These findings will provide valuable information for instructors, researchers and government. In particular, optimal learning conditions in- and outside the learning scenario can be explored.