Professor Mirella Buzzati, recovering from a failed relationship that ended with a divorce from her husband, travels to Perugia where she has obtained a mathematics teaching position at a high school. Her hatred of men, evident during the train ride and in her interactions with male colleagues who quickly flock to her, quickly yields to the attractiveness of Alain, a student nicknamed "the dark and handsome" by the high school girls. He already has a relationship with Giorgina, a fellow student of the same age and a fanatical militant of "Lotta Continua." In an effort to win over her idol, Mirella becomes unscrupulous in her teaching, preaches political and sexual revolution; she earns the headmaster's rebukes, and heaps scathing criticism on her rival Giorgina. After a stint in Paris with a lesbian colleague, the professor resumes her attack and obtains Alain's physical performance, but not her love: the boy understands her well and deeply despises her.