This paper systematically investigates the classification of induced electromotive force (EMF) in electromagnetism and its mathematical derivation process. The study first analyzes common misconceptions in pedagogical approaches, then proposes two effective methods for deriving motional and induced EMF based on Faradays law of electromagnetic induction through constructed physical models. The results demonstrate complete consistency between these methods and the direct application of Leibniz integral rule in their conclusions. Furthermore, within the theoretical framework of general physics, the study explores the physical essence of motional and induced EMF by incorporating Maxwells equations. This research methodology, which combines rigorous theoretical derivation with analysis of physical principles, not only ensures mathematical precision but also provides a clear conceptual framework for undergraduate students to comprehend the fundamental nature of electromagnetic induction. By revealing the intrinsic laws governing electromagnetic phenomena, this work offers valuable insights for the teaching practice of electromagnetism courses.