In recent years Mainland China conducted research of the so-called "[Contemporary] New Confucianism'' (hsien-tai hsin-ju-hsueh). A list of fifteen names was adopted. I follow up this line of approach and find a structure of "Four Groups in Three Generations'' as follows: First Generation, First Group: Liang Shu-ming, Hsiung Shih-li, Ma I-fu, Carsun Chang First Generation, Second Group: Fung Yu-lan, Ho Lin, Ch'ien Mu, Thome H. Fang Second Generation, Third Group: T'ang Chun-i, Mou Tsung-san, Hsu Fu-Kuan Third Generation, Fourth Group: Yu Ying-shih, Liu Shu-hsien, Ch'eng Chung-ying, Tu Wei-ming On the other hand, in Taiwan, Hong Kong, and overseas, another term, "Contemporary Neo-Confucianism'' (tang-tai hsin-ju-chia), has been adopted. It refers to the movement initiated by Hsiung Shih-li, succeeded by T'ang Chu n-i and Mou Tsung-san, and promoted by Tu Wei-ming and others overseas. Thus, the term "New Confucianism'' refers to the movement in the broader sense, while the term "Contemporary Neo-Confucianism'' stands for the movement in a narrower sense. The distinction would help remove a lot of unnecessary confusions and controversies. My structure--combined with the observation of four waves of development in the nineteen-twenties, forties, sixties, and eighties--would provide a nice bird's-eye view of the movement developed so far, and also clues to look forward toward the future.