The aims of teaching have evolved along with the society in which we live, from a teaching based in memory to a one that teaches to reason, in order to adapt to the accelerated rate of change imposed by the application of scientific discoveries in our society. We have a society in continuous learning, which requires the ability to reason in order to adapt quickly. We are defining quality in teaching as your ability to teach to reason. This definition covers all new approaches: competencies, student-centered teaching, flipped classroom, etc. Each subject of the program is a pretext to teach to deduce or to induce, which are the two types of reasoning known. The teacher decides on each topic if he deduces it from previous knowledge or induces it from a demonstration or experimental data.