Motivating gifted children to become and stay engaged with classroom tasks can be a huge struggle for primary education teachers. This concurrent parallel mixed method design study investigates the relative differences in the importance of the basic psychological needs between gifted children and children with an average IQ with respect to triggered and maintained engagement to learn. A total of 1,017 students (512 girls and 505 boys) from 35 schools participated in this study. The qualitative analysis showed that children identify a wide array of themes related to both the context of their learning experiences and to themselves. In addition, statistical analyses showed that while all children benefit from the fulfillment of their basic psychological needs, gifted children experience a greater need for autonomy support to become engaged in school tasks. To maintain engagement, even in the face of resistance, all children, regardless of their IQ, indicate that structure is important. Possible implications for teachers are addressed in the discussion.