Kyunghwa Lee, Kyungmee Park and Jaehoon YimIn Korea, the gifted education appears to gain much popularity lately that it has become a ‘hot issue’ in the education circle. Unusual enthusiasm of Korean parents for education led them to take their children to a reputable centre for gifted education programs, which enormously increases the demand for gifted education. Gifted education programs were primarily operated by gifted education centres run by universities. Now many elementary and secondary schools have started launching gifted educational programs because government’s policies encourage gifted education. At this juncture where gifted education has been rampantly expanding without thorough planning, it is necessary to review the gifted education form a reflective perspective. Gifted education is mainly implemented following three: selection, education and evaluation for reselection. In this paper, the issues of selection and evaluation for reselection will be touched upon from a critical point of view. The aim of this paper is to investigate mainly problems for the selection and reselection of mathematically gifted students. Inappropriate and appropriate problems and examples of student answers will be presented.