I am currently trying to change careers after doing postdoc physics research for many years and not being able to obtain a research faculty position. I really enjoyed my university teaching experiences and want to focus on teaching as a career. But I haven't been successful in finding a nonresearch teaching position with an EECS PhD.
My goal now is to teach Mathematics at either the community college or liberal arts college level. Is it impossible to achieve this goal with only a BS in Mathematics plus EECS PhD? It seems like I need at a minimum a MS in Mathematics.
There was a related question here. There was a suggestion for that person to look into getting a DA degree in Mathematics as a way to get a doctorate with an emphasis on teaching. I've never heard of it, but based on descriptions of the DA program I've found online, it seems to match my teaching goals perfectly. (There were also suggestions to consider the PhD in Mathematics Education, but I don't think it would be a good fit for me.)
Am I wasting my time applying to college-level math teaching jobs with only a BS Math + grad engineering degrees?
Is a Master's degree good enough or even preferable to a DA if I only want to teach?
I am interested in the DA, but I'm worried that the commenter in the link above says "It's a bad idea". Is it true that most Math departments don't even know what a DA degree is? Will having a DA put me at a disadvantage compared to others having a PhD if I apply for a teaching position requiring a doctorate degree?
Since it's been a long time since my BS Math degree, would getting a MS Math degree first be a good idea before thinking about getting a doctoral degree?
I'm not sure if getting another degree is a reasonable way of planning my second career. It's been 10 years since my PhD and if I decide to do this I will be over 40 by the time I finish another degree. Is it a bad idea to go back to school as an older student just so I can teach college math?