This tutorial from Instructables shows you what’s needed to make a simple thermoelectric module (TEM) controller using Arduino: http://www.instructables.com/id/How-to-Set-Up-a-Peltier-Module/
One warning on this though: the Instructables project uses aluminum sheets for heat removal. This is a really basic hack and you could easily risk burning out your TEM if the sheet doesn’t get rid of enough heat.
If you want to do things right, make sure you have enough heat ejection for the TEM you’re using. For this you will need to apply double-sided thermally conductive tape or paste to the TEM, and then attach a heat sink and a fan.
For prototyping using a TEC1-04902 module, I typically use the following:
A photo of what this assembly looks like from one of my prototype cooling garments is below. (Note: this is not from the Instructables example!)
Read Part 9 of this Tutorial - Going Deeper: https://www.collaborizm.com/thread/B1QwR66_b
To see a Collaborizm project using thermoelectric modules, check out Cool India: https://www.collaborizm.com/project/SJVLyK2uZ