Abstract: The advance of fluid dynamics may be divided into four stages: ancient, classical, neoteric, and contemporary. A similar four-stage framework can be used to describe the advance of synoptic meteorology, such as the conceptual models of extratropical cyclones and their attendant fronts. The first conceptual model of extratropical cyclones was proposed by Admiral Fitz-Roy in 1863. Based purely on Admiral Fitz-Roy’s personal experience (although it does contain some scientific essentials), this model represents the ancient stage of synoptic meteorology. The Norwegian cyclone model was developed based on Newtonian mechanics about 100 years ago, and represents the classical stage of synoptic meteorology. This model was based on the idea that weather changes are primarily caused by baroclinicity, but contained some serious flaws. In particular, the Norwegian model regarded fronts as zeroth-order discontinuities in density, which was inconsistent with the continuity principle of fluid dynamics. The Chicago three-dimensional conceptual model of fronts and cyclones, which was developed approximately 50 years ago by using quasi-geostrophic theory, can be thought of as representing the neoteric stage of synoptic meteorology. The Chicago model was replaced in the late 20 century by a model of extratropical cyclones characterized by back-bent and wrap-up warm fronts. This model has been developed with massive numerical calculations, and represents the contemporary stage of synoptic meteorology. In the era of large data, contemporary synoptic meteorology should be careful to maintain and make full use of the profound physical understanding generated during the neoteric stage of synoptic meteorology.