My online identity is pretty diverse. Each different facet seems to interact with a large web or sphere of somewhat similar individuals. What surprises me, though, is how little the various spheres tend to interact with the other spheres.
For instance, I see very little overlap between these three spheres: math teachers, programmers, and technology in education experts. All three of those spheres accept me and allow me to contribute and ask questions--and yet I know very few individuals that exist in even two of those three spheres.
For instance, take a look at this recent post about a probability question on a programming blog. The immense number of comments arguing one solution over another reminded me of the Monty Hall problem, which is taught in IMP 3 Math. In fact, there's almost nothing in those comments (other than the occasional coded "solution" to the problem) that would tell you that these are primarily programmers--not math teachers--arguing their view of the problem.
I found the comments amusing. I haven't necessarily found that being a natural at math makes a student a natural at programming--although I must say that almost all of my best programmers are very good at math. I've done research on a correlation between language acquisition aptitude and programming ability, but the results, of course, were unclear. What I do know, though, is that very few programmers (aside from a few Linquistics experts) ever think much about language acquisition.
Let the fun begin:
Let's say, hypothetically speaking, you met someone who told you they had two children, and one of them is a girl. What are the odds that person has a boy and a girl?