The purpose of study was to develop distance education programs that combine the characteristics of the programs for the math gifted students. To this end, the first is to establish the standards for the development of distance programs for the math gifted students. The second is to develop the distance education programs for the elementary school math gifted students according to the program procedure models for distance education. The third is to apply the programs developed to actual distance education field and analyze the results to verify the validity of the programs. This program can increase high-level mathematical thinking power even though it is the distance education, not the face-to-face education. Second, this program make contributions to active mathematical communication through newsgroup or reflective journals. Third, the use of Diffy Game facilitates the selection of in-depth contents, which will in turn enable the development of intensive programs.