What do you call a teacher of those who travel regularly between home and work?

There isn't a specific job title for a teacher of commuters. The training commuters might receive would likely fall under various existing categories depending on the subject matter, such as:

* Driving instructor: If the training focuses on safe driving.

* Public transportation instructor/trainer: If the training is on using buses, trains, or subways effectively and safely.

* Traffic safety educator: If the focus is on general road safety awareness.

* Workplace safety trainer: If training involves navigating workplace safety issues relevant to commuting.

* Time management consultant/coach: If the focus is on efficiently planning and managing commute time.

The title would depend entirely on the *content* of the teaching.