I bought a Noma Programmable Thermostat for Electric baseboard heaters. I rent but pay the bills so I thought this was a good idea. I took off the old plate and see there are 4 wires. The new thermostat only has 2 wires. I've read the instructions but they are unclear to me anyway. Any thoughts.

Does your system use all 4 wires?

Looks like it. The old wall control has 2 red and 2 black wires. The box has 2 white and 2 black wires. 1 black and 1 white come from the top of the back of the box and the other 2 come from the bottom of the back of the box.

I can't help further, I'm in South Florida, we don't use Baseboard Heaters.
Couple of Good Electricians are on this site from Up North can give an Exact answer. How much current does your thermostat handle?

Not sure but the wall control says 120v/240v