Ubiquitous learning (U-learning), a potential shortcut for China to modernize its education, is treated in this discussion as a mentality and means for citizens in high-tech society to seek a lifelong education. Thus situated, this article presents an exploration of “superb competences”—material intelligence, internet thinking, and brain-related neuro knowledge—in college teachers outside their trained professional areas. It is believed that once the teachers are equipped with the material intelligence, internet thinking, and brain-related neuro knowledge, real U-learning practice is ensured and its rationale will be developed. Material intelligence and internet thinking are evolved from and closely related to technological development, and therefore constitute the essential requirements of U-learning in terms of technical and educational cognitive framework. A good knowledge of brain related neuroscience, the third competence, guarantees the scientific rooting of every element in the designing of U-leaning tasks, whose success resides in a serious respect of cognitive nature and rules of the brain. The building of such superb competences, as is argued at the end of the paper, relies on various supports, like policies and technological aids, from all levels of educational administration in the country as well as each individual teacher’s personal understanding and efforts.