This research analyzes the elementary school mathematics curriculum in Korea in accordance with the teaching units devised by the German mathematics pedagogue, Wittmann(1984). Teaching units, a systematic teaching content organized according to the 4 elements of objectives, data, functions, and backgrounds, helps educators and professors plot for the systematic organization and structural understanding of the materials necessary in teaching. This research presents the extracting process of teaching units step by step based on the 2007 revised mathematics curriculum and also demonstrates the new alternative method to analyze and review the entire education courses through it. Teaching units is not immutable, but rather pursuing and developing a model that consistently through the constant complementary efforts by the research experts. On that account, many researchers and field professors continuously devote their efforts to develop and innovate it so that it can be practically used as an essential tool to establish a new mathematics curriculum.