Men are 42% of teachers at the high school level: https://www.aaeteachers.org/index.php/blog/757-the-teacher-g...

School administrators are overwhelming male: http://aasa.org/SchoolAdministratorArticle.aspx?id=14492

I'm male, and taught K-5 special education for 2.5 years in my first job out of college. Few men join the profession, and many of them leave for better paying jobs, but I think a huge part of it is society's willingness to make raising children women's work. This is the "oh Daddy is babysitting!" phenomenon happening at the professional level.

Majority/minority are not strictly numbers in this context. Its more about opportunities whose limiting factor is age/race/gender etc.

I have yet to see decent evidence of limiting factor being race / gender where I work (in Europe). Age is a bit different as experience is closely tied to it.