In this paper, we present a review of research perspectives and investigations in collegiate mathematics education from the four decades of development in the journal <The Mathematical Education> published by Korea Society of Mathematical Education. Research of mathematics education at the tertiary level, which had been a minor area in mathematics education, has made a significant development in the last decade in Europe md U.S.A. In this context, international journals for research in mathematics education were selected to comparatively examine and identify research trends and tasks in collegiate mathematics education. Based on the analysis of domestic at international journals, we present recommendations for further the development of Korean collegiate mathematics education research. First it is necessary to diversify the topics of educational research. Korean research of mathematics education at the tertiary level has been limited to the issues of curriculum developments, teacher education and computer technology. It is necessary to pursue more various topics such as conceptual development mathematical attitude and belief gender, socio-cultural aspect of teaching and teaming mathematics. Second, it is necessary to apply research methods for systematic investigations. It is important to note that international research of mathematics education introduces variety of research methods such as observation, interview, and survey in order to develop grounded theory of mathematics education. We end with pedagogical implications of the analyses presented and general conclusions concerning the perspectives for the future in collegiate mathematics education.