Noncoercive = embracing others exactly the way they are, and they can change if they want to and they don’t have to. Coercive = trying to control, fix or change others against their will.
Subjecting anyone of any age to coercive education (unwanted criticism) is not taking them seriously. Nor is it even taking the valuableness of criticism seriously! Let alone taking the growth of knowledge seriously.
It may be tempting to try to stop children putting themselves in situations you think might be coercive, like school, but adding coercion is a mistake, and you may be overestimating the potential damage that might be done to a child who has your full support.
Can there be such a thing as a non-coercive school? The existing institution that comes closest to a non-coercive school is the entire town (or city, or society, or internet) that the children have access to, including their homes, and their friends’ homes, and excluding only the existing schools.
It is easier to identify coercion that is riding roughshod over a child, than the covert satin-slipper-shod kind.
What distinguishes families taking children seriously from those in which the parents favour coercion, and why compulsory school is necessarily coercive.