Two paths; Observation and Participation.
Observation:
observe the group dynamics; what are their position; 'legally' (in the office, for instance), and 'socially'? How do they move inside the group? Who hates who, likes who, admires who, etc, etc, etc; and WHY? Make around 3-5 points about the circumstances which affected how A sees B (for example; 1) because B is extraordinarily kind, 2) because A apparently has some affiliations to the group B supported, 3) because A and B have the same backgrounds, 4) because A and B have similar methods of doing things (this is where MBTI knowledge can come to handy), 5) because A and B both hated C.) And from those circumstances; think deeper; ask again, why, why, why.
See the facets from everything; how they affected our behaviors to one another (which, whether they use Fe or not, throws Fe threads around.). Psychology, politics, socioeconomic conditions around; experiences, values, beliefs; recent happenings, present condition, future plans and hopes; what we learn, feel, experience; etc, etc, etc.
See the values contained within statements. When you read a comment in a website; a post in a forum, an article in the newspaper; think about (mainly) 2 things:
a) what does the speaker believe? How and Why?
b) what is the moral of the story? What do they want us to believe? How and Why?
Make it as neutral as possible. Being biased will still help your Fe, but it will grow into something equally biased.
Learn to see things from another side; from the other side of my belief, what would make people think that their value is right; their belief is right? Again, try to be as neutral as possible. (for example, if you're an atheist, try to think just WHY people go to religion. Vice versa. Of if you're a gay activist; try to ponder about why some people chose to be-- not blatantly homophobic, just opposed to gay marriage, for example.)
Learn some Ne / train our Ni, and try to find new spin on things; new facet on things. You may know one thing or another about this behavior and another, but are there another side of things we don't know?
Learn about human psychology; see where it applies to our everyday life, but DON'T JUDGE IT YET.
In one way these will also train our Ti.