In the era of the Fourth Industrial Revolution, momentary insights called Aha! In the field of problem finding ability, problem solving ability and creativity that can accurately identify and read problems on various problems that can not be predicted to be placed in the future More than anything else. In particular, the field of mathematics is stronger than other disciplines in relation to problem solving, and it is impossible to measure or evaluate mathematical creativity without relating to actual problem solving ability. In order to solve the problem of structuring and unstructured problems caused by various unpredictable future changes in the future, one existing education model can not sufficiently capture the learning effect of the learner. Problem solving centered competence based education methods are needed to solve problems by unifying and linking related information and unstructured problems with uncertain predictions. As a result, Drake s learner self-directed problem-solving-based model and the Taurus rotation, which can promote mathematical creativity problem solving, An integrated model between eruptive models is proposed.