In this study, we analyzed algorithm curriculum in Korea, the United Kingdom, the United States, India, and Estonia. In order to teach 1st - 9th grade students computer algorithm, we suggested the algorithm framework based on the spiral curriculum, which is repeatable and progressive. The framework is divided into 4 areas, which includes understanding, expressing, evaluating, and using algorithms in daily life. Each area has 4 levels which are based on the students grade. We have to offer lectures for about computer OS to student teachers at the National Universities of Education; to develop textbooks and materials about algorithm; and to establish Information Science as a part of the primary school curriculum.