When Herbart was a tutor in Switzerland, he was determined to prove the feasibility of "education through teaching" not only in theory but also in practice. He achieved this through the teaching of aesthetics and literature, mathematics and natural science. Herbart teaches students perfect language skills, exquisite knowledge of history and classical literature, provides students with in-depth mathematics training, and even introduces emerging natural sciences to students through experiments. However, these teaching methods are not only for imparting knowledge, in fact, what he seeks is to educate students through deliberately arranged teaching as the most important means of moral education. The purpose of literature teaching is to inspire students to pay attention to the feelings of others. Mathematics teaching is not only because of its practical value and technical importance, but more importantly, mathematics should be regarded as a means of training concentration, that is, mathematics teaching is to help students cultivate their character. Herbart thinks that mathematics always seems to be the only effective way to strengthen character through experiments. Therefore, in his book "Aesthetic Expression", he shows that education will generally not succeed without teaching.