Teachers want students to exhibit intrinsic goals like persisting on challenging problems, working until the end of class, and showing interest in tasks. The document discusses intrinsic versus extrinsic goals, noting intrinsic goals involve developing skills, attributing success to effort, and seeking challenges. It recommends encouraging intrinsic goals through inquiry-based classrooms where students discover solutions themselves and see their work lead to valued outcomes. Teachers should expect student success and maintain high standards to motivate students to believe achievement comes from hard work rather than innate ability.