I would like simply to relate some observations from a more personal Ti perspective.
It's difficult for me to imagine what an Fe often goes through when broaching a math problem. But from what I understand, the Fe tries to humanize everything. Imagine if you would a rising sun emanating happy little rays of light and with a smiley face drawn on it, and myriad other examples.
But this is far easier to do with nature, and far more difficult to do with dry, unemotional math problems. The Fe urge here is to see the numbers as having an almost human-like character. The Fe is going to try drawing each number with style. Now in my mind, this solving method is not conducive to getting the right answer.
Now for you Sensors. I'm not engaging in Sensor hatred here. But one thing I have noticed is how grounded you people are. I'm not talking about those who use a high amount of Intuition. I'm talking about those high-use Sensors who don't understand the concept of "outer space," or "galaxy," or "satellite," where this is not due to having a low IQ.
These are extremes, of course. But extremes are helpful in understanding a mindset. And I'm not talking from theory, as I said, but from personal experiences I've had with people throughout the years. And my personal experience is utterly astonished by the variety of perspectives, for example, the SF young adult who doesn't know her alphabet yet.
With the stereotypical Sensors (which do exist, by the way), there is utterly no interest in matters beyond the Earth. Science fiction looks, well, stupid, even embarrassing to watch. I asked a Sensor why Star Trek looks stupid to him, and he said, "Uh, I don't know, it's something about the uniforms." (Sorry, but I happen to like the uniforms, because they look so... futuristic, the way I want the future to look like.) This isn't limited to science fiction, a Sensor might feel embarrassed simply by walking into an average book store.
At the pathological extreme, there is no interest in anything beyond the community the Sensors live in. And from what I've seen, a certain amount of dread of the unknown beyond those psychological barriers.
But then, at the same extreme of the Intuitive, there is on the contrary no interest in the immediate present surroundings, and that's also a problem. This person is very disorganized and disoriented in the real world. Possibilities are not realities, and for this person, never will be. This person's style of dress will be totally off-key, for example, a heterosexual male with long, straight, green hair, and wearing earrings. This is just a sign to the external world that something is not right. I'm not, however, saying that it's wrong. But extremes are rarely if ever healthy. This person likely thinks there is something wrong; however, the problem is with you and not with him. An Intuitive who is more socially functional will dress with an individual flair, and only go the "crazy" route during times of extreme stress.