I already have BS in math and computer science (top of my class with 4.0 GPA) and finished my MS in math in 2005.
I love teaching and am (as my username suggests) an innovator.
I have specific and workable ideas for teaching calculus with much greater ease as well as working around general "math phobia" in students.
There are textbooks and programs I wish to write and I am almost certain to do so as soon as my time makes this more possible.
I am almost three years into a PhD program for math with two to three years left.
What I am wondering is if I should switch to a PhD program in education (or some other field) or stay with one in math?
I found CS easy and not very challenging.
My original love was physics and chemistry.
Now very little excites and stimulates me more than devising better teaching methods for math and having the direct experience of actually teaching live, breathing students.
Would my interests in devising better math teaching protocols and approaches for calculus be something that an education PhD would allow me to specifically focus on?
Any suggestions on how I could determine what my best path would be?