This is a very important point.

I found it very true that different people learn in different way from my effort on sharing the details of programming and math with fellow co-worker and interns too.

Try make 30 people grab the same details (programming/details) and you will learn a lot about what you teach about and also on how people learn.

When i understand that, i ultimately understand the reason why there is so much debate and on going discussion about some particular details: much of our confusion were caused by lost of context in communication.

[edit: typo]