Is there an Advantage to have a Teaching Statement with References
- You should cite your sources.
- It is good you have read the education literature.
- This will not make a big difference.
It is unusual for teaching statements in math to have references, but this is because it is unusual to refer to the education literature. However, I think doing this can strengthen your statement, provided the references are few. It shows that you care enough to seek out good teaching strategies. But you want to show you have your own thoughts and ideas about teaching, which may have been formed in part by others' work, but are should also come your own experiences and experimenting. You also don't want to make it less friendly to read by getting too "technical."