They sort of won.
The Supreme court decided that the punishment was well within the power of the school so the dismissed the case. They say that school are allowed to inflict punishment in such a manner but there are limitations. Some states banned the use of the paddle, resorting to other means of physical punishment. One teacher from a different school was found saying that the punishment he hands out is making his student stand with books in their arms and forcing the to stand with their arms stretched out. Another teacher play Celine Dion to his students during detention. Since this case, schools all over the country have found ways around such laws.