You don't need a degree in math to teach children age-appropriate math topics. Teachers don't become teachers just because they have a degree in that subject, they have been taught the methods on how to teach. Having prior knowledge of the subject is almost irrelevant. Teaching is really just applying solid methods on how to build knowledge from the most basic concepts as well as having the patience in dealing with humans who are not fully formed in their emotions.

> Having prior knowledge of the subject is almost irrelevant. Teaching is really just applying solid methods on how to build knowledge from the most basic concepts as well as having the patience in dealing with humans who are not fully formed in their emotions.

I would disagree with this. Those are necessary but not sufficient. It is necessary to have enough knowledge and joy from the subject to convey that to students.