While the affective aspects are emphasized in the current mathematics curriculum in Korea, it is just indicated a superficial degree. Therefore in this study, based on consideration for internal representational system theories, a dynamic viewpoints of self-system processes, socio-constructivist perspectives, and motivation theories, we discuss the meaning of affective competency, the motive of mathematics learning, mathematical identity of students, social environments and affective experiences, then we suggest an affective frame in mathematical learning. Hereby, we suggest what should be considered in affect instructions and the alternative goal of mathematical education in affective aspects.