I burned out while pursing a PhD in mathematics but have a masters, and am currently pursuing a masters in philosophy with the hope that it may show continued interest in academia before I re-apply to competitive PhD programs in either mathematics or philosophy (of math or logic etc.) I'm currently teaching calculus 3 and a basic math course as an adjunct, and it looks like this will be my schedule next semester as well. Where I am currently teaching (a private four year university) it looks like I may be teaching a basic philosophy course next semester as well.
[Side note: I've taken my time away from the math phd to get a high GRE and math subject GRE score; what I'm most afraid of is my "burn out" in the math program and distancing myself from that. This is, in part, why I pursued the philosophy program.]
I certainly don't think it can hurt, but what do graduate committees think of teaching experience? Is it advisable to get a letter of recommendation from the chair of the department you teach at when applying to a PhD program (in addition to my other letters from people I was a student of)?
This question is targeted to anyone, but especially those in mathematics, philosophy, and of course philosophy of science and philosophy mathematics folks.