I'm going to dissect some of this because some of it is pretty short sighted to me:
My cousin is an early childhood educator. He has his diplomas and pretty much everything you need to work at a daycare and take care of children.
Ok and? Does he have previous experience working with kids? Tutoring, after school programs, daycare assistant, camps, etc? If not then that's a clear sign to being passed up.
But no one wants to hire him. He showed me his folder of over 200 resumes since last year. He gets an interview once in a blue moon
No offense, but him and literally half this damn country. Teaching jobs do not turn over like other fields and the district I worked in previously would see on average
50 resumes a day
and never lands a job and the answer is always "we felt someone else was a better fit"
This has literally nothing to do with him being a man. Your cousin could be bad at interviews, he could be bad at explaining his methods for accomplishing goals, etc.
He's absolutely wonderful to my nearly 3 year old son, and just an amazing human being.
Ok, and? This has zero bearing on him as an education in class room.
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I can tell you from experience of talking to educators that your cousins failings have zero to do with him being a male. The administrators and principals I've met & talked to would jump at the chance for a good male pre-k -- 5 male teacher precisely because so few of them exist.