The purpose of this study is to analyze the articulation between the kindergarten and 1st grade in mathematics education. for this purpose, the problems of this study selected as follows ：(ⅰ) What is the mathematical concepts related between the kindergarten curriculum and the 1st grade curriculumulcorner (ⅱ) How is the mathematics classroom in the kindergarten and 1st gradeulcorner (ⅲ) Which instructional materials are used in the kindergarten and the 1st gradeulcorner (ⅳ) What is the new direction of articulation between the kindergarten and first grade in mathematics educationulcorner The results of this study are as follows ： (ⅰ) According to examining each curriculum the focus is on understanding the basic concepts of number in the kindergarten, on the concepts of number, addition and subtraction in the 1st grade. (ⅱ) By being analyzed the mathematics classrooms of the kindergarten and the 1 st grade, it is different the focus of lessons or the teaching strategies. (ⅲ) As a result of analysing the teaching plans in the kindergarten and the survey in the first grade teachers, used instructional materials are manipulative ones. While mainly used materials are puzzles and blocks in kindergarten, a paduk stone, number cards, sankagi are used in 1st grade. (ⅳ) Finally, we propose the direction of articulation between the kindergarten and 1st grade in mathematics education.