The first time a student encounters a consistent physical modeling framework is in the basic Engineering Mechanics courses. From a small set of postulates, i.e. Newton's and Euler's laws, follows a theory capable of dealing with an enormous range of engineering problems. Thus, the learning objectives of Engineering Mechanics should not only be to develop problem-solving skills, but also to develop an understanding of the mathematical structure of the underlying theoretical frame. To achieve this goal, it is crucial to avoid verbose discussions and their inherent ambiguity, relying instead on a more formal presentation of postulates, definitions and theorems.