The right to "face your accuser" refers to criminal court proceedings. It is simply not binding in any other environment. There isn't a law which states this, but that the law which does limits who it applies to and by extension, does not confer that right outside those bounds.
I've worked in education for a good chunk of my career and have done more investigations than I care to think about. Rule #1 is, "do not tell the accused who reported them". That is a fabulous way to ensure that no one reports things which really need to be reported. Less scrupulous perpetrators would retaliate. Even if someone reported in good faith and the accused is eventually cleared, at best it makes the workplace awkward. How many abused children do you think would come forward if they knew the first thing that would happen is that their abuser would be told they reported them?
Rare is the accusation which was witnessed by an administrator and other unbiased bystanders with the full story. Rare, as in never. Accusations are always from outside parties (parents, coworkers, students, community members, etc.) and there are a lot of very inappropriate behaviors which are grounds for termination, and have no other witnesses by design. You may be innocent but far too often, there is at least a grain of truth to the accusations. Rare are the totally out of the blue and totally fabricated allegations. It may not always call for termination but it may be a situation which warrants counseling and increased scrutiny. I will tell you one thing, if it was a serious enough allegation to pull you from the classroom, I'd be shocked if the investigation was already over and corrective actions taken. In a case like yours where it is more of a matter of interpretation and context, 6 months is not unusual at all. Add in the summer break and that timeframe lengthens.