The purpose of this study was to suggest an advanced system for educating scientifically gifted children in the Center for Science Talented Education at Kyungpook National University. Several suggestions based on analysis of current identifying-process and instructional materials for scientifically gifted children were provided for advancing the educational system of the center. First, this study suggested a three-step procedure to identify procedure emphasized students reasoning skills as one of important characteristics of the gifted child. Second, this study provided an instructional model for developing hypothesis testing skills in scientifically gifted children. The model was originally based on Lawson's scientific reasoning processes and learning cycle mode. Third, this study also suggested an effective administration system of the Center for Science Talented Education. Further, this study suggested effective ways on research works for advancing the center, educating instructors, the cyber center for remote education, and international co-works for developing the gifted children's potential abilities.