I think there are many ways we as educators can show that we care for our students such as:
Be avaialble to them - I personally give my cell number in the first class so they can contact me if they have any issues or concerns.
Know them as human beings: I also like to know my students as who they really are and not just one student sitting in my class. Normally within first two weeks I know what is bothering any body in my class.
Connect with them: I also contact student if they miss a class as just to check on them if they are ok and same goes for any missed or late homeworks.
Pay close attention: Another way, we can show we care is by paying close attention to them while they we are in class, does a student seems to be not attentive, I normally ask them at the end of the class what was bothering them.