This paper considers chronologically the discourse of space as one of key concepts in geography, and then argues that geography education ought to be the critical pedagogy of space. Recent social science including geography and education has more empathized the sociality and spatiality of space than the physicality of space, and argues that space is constructed socially. Thus, it has been considered that space is no longer empty container to be filled with social relationships, but is concerned with the production and reproduction of social relationships through political struggles with diverse meanings. Now, geography education has to examine the different ways which space has been conceptualized, and develop geography education as critical pedagogy of space that focuses on reading the multiple and contested nature of space.