Pedagogy is the science and art of teaching. Each generation needs to explore the history, theory, and practice of the teacher-student interaction. Here we pave the path to develop a science that explores the cognitive and physiological processes involved in the human capacity to communicate knowledge through teaching. We review examples from our previous work in this research area and discuss a path to reveal the cognitive and cerebral mechanisms by which we teach, unfolding a complex operation such as teaching in its constituents and components.