Prompted by the Ministry of Education, many Taiwanese Universities have been mapping their curriculum on the Internet. As a university teacher and a curriculum map drafter, I would like to explore several issues regarding curriculum map, such as: “What is curriculum mapping?” “What curriculum did we map?” and “What curriculum mapping do we need in higher education?” Here, I do not intend to show how to “do” curriculum mapping, but to investigate the concept and its significance. This paper consists of three parts. First, I address several questions on curriculum mapping from my practical experience. Second, I perform literature survey and show what curriculum theorists say about curriculum mapping. Third, in the light of current literature and practical implementation, I give a critique of curriculum mapping. This critique consists of three questions: “Does curriculum mapping have a regular pattern?” “Can a curriculum map go beyond its role of being a representation of reality which reveals only instrumental purposes?” and “How to map the curriculum with ‘outlook’?”