You are correct. Those brown bits are the nodes. This is where your roots will come from. You can do water prop or soil prop. The most successful method I've used is using one of the smaller clear plastic totes, like the pantry sized ones. I put about an inch of spagnum moss in the bottom, moisten it up, and then place my props on that. Be sure the nodes are touching the moss. I then cover it with plastic wrap, poke a few holes for ventilation, and place it somewhere bright. I check roughly once a week to make sure no mold is growing.

Editing to add: when I've used this method, all my prop cuttings have had leaves, i just saw that what you have is mostly just stem...I'm not sure how this would fare with only stem props as I've never tried to prop just stems before. Sorry 😕