Develop a theory of alien minds and use it.
In Profoundly Gifted Magazine Interviews Charles Wallace Murry of A Wind in the Door, there is a discussion of "theory of other minds" as relevant both to giftedness and the autism spectrum (I'm not trying to diagnose anyone here as on the spectrum or not on the spectrum; the principle is generic):
Charles Wallace: If I may shanghai an opportunity to follow the words, "If there is an elephant in the room, introduce him..."?
Profoundly Gifted: Yes?
Charles Wallace: Asperger's Syndrome.
Profoundly Gifted: It's kind of like profound giftedness, no?
Charles Wallace: Let me quietly count to ten... Ok...
I read David Pollock's Third Culture Kids: The Experience of Growing Up Among Worlds, and I said, "That's me!" Then I read Edward Hallowell's Driven to Distraction and it made sense. Then I read, on a medical practitioner's advice, Tony Attwood's The Complete Guide to Asperger's Syndrome, and my response was some more polite form of "Dude... pass me a toke of whatever it is that you're smoking!"
Furthermore, and here I am less concerned with the relationship between profound giftedness and Asperger's than improperly read research, there is a consistent finding that IQ-normal, autism-normal children do markedly better at what are unfortunately lumped together as "theory of other minds."
A much better interpretation of Attwood's data might come from splitting the theory of other minds into a separate theory of like minds, and also a theory of alien minds. A theory of like minds works with one's homeys or peeps; hence someone IQ-normal and autism-normal surrounded by IQ-normal and autism-normal classmates will coast on a theory of like minds. But, except in how it may be refined by practice, a theory of like minds that comes virtually free to everyone isn't in particular reserved to a majority of people (not) affected by XYZ condition. With some true exceptions like Tay-Sachs, everybody gets along with their peeps. Gifted and profoundly gifted click with their fellows; Asperger's people click with their fellows; To pick a few many demographics, various geek subcultures, codependents, addicts, and various strains of queer should click just as well. Everybody gets a theory of like minds virtually free; the breadth of usefulness depends on how rarely or commonly one encounters like minds, and this heavily loads the dice for Attwood's approach.
The comparison Attwood makes in interaction with autism-normal people loads the dice in a way that is totally unfair. The comparison is autism-normals' theory of like minds to Asperger's theory of alien minds; he never, ever tests autism-normals on their ability to relate to alien minds, nor does he ever test Asperger's patients on their ability to relate to like minds. And while being unsure about how far this applies to IQ-normal Asperger's patients, Asperger's patients often make herculean and lifelong efforts to develop "theory of alien minds" aptitude, and the result is not just that they connect, perhaps clumsily, with people of the same age and socioeconomic status; they make very close connections across age, race, and gender, and for that matter animals who may start off by being afraid of them. The theory of alien minds is finely honed, even if it is not a valid substitute for a theory of like minds, and once it is honed, this theory of alien minds reaches much, much further than autism-normals resting on a theory of like minds.
(Read full "interview.")
Develop a theory of alien minds, and use it in relating to people who ask what subject you teach.
For that matter, there are degrees of occasions for theory of alien minds among mathematicians. Mathematicians of one specialty cannot, as a rule, really hold a professional conversation with mathematicians of another specialty (the discipline has reached enough of a labyrinthine specialization that it's a rare beast of a mathematician who can understand 13 out of 50 papers presented at a math conference). Different adaptations are appropriate for math grad and undergrad students, interlocutors from mathematical sciences, disciplines that are not really mathematical but use statistics, humanities that do not have a pretension of being just-as-much-scientists-as-people-in-the-so-called-"hard-sciences"-like-physics (more), educated nonscholars, adults, children. All these audiences are best reached with some form of context-sensitive bridge-building, together with a realization that you may not rightly be able to convey all you would wish (this is NOT a predicament that only applies to scholars!).
In a word, work on your theory of alien minds, and use it.