Final answer:
A connection with businesses and universities is NOT a characteristic of a good school that engages students in the context of student engagement, as this aspect is not fundamental to the direct engagement and development of students within the school environment.
Step-by-step explanation:
The characteristic that is NOT a feature of a good school that engages students is "A connection with businesses and universities." While partnering with businesses and universities can provide valuable opportunities, it is not typically listed as a fundamental characteristic for engaging students in the context of general school operations and student engagement. Good schools that engage students typically emphasize a strong focus on academics, foster student participation in group projects, and have connections with businesses and universities. Essential elements of a good school often include a focus on self-esteem development in children, a strong emphasis on academics, and opportunities such as student participation in group projects, which directly involve students and contribute to their personal and educational growth.