This probably isn't new to many experienced people, but I've ran across this situation a couple of times these past couple of days and it proved to be exceptionally powerful! Perhaps my opponents didn't respond to it correctly but it still seems worthy of a mention. The idea is that you intentionally share Mathematics to tech up 2 ages in a single turn. Because you draw a card from the sharing bonus you automatically have the card in hand required for Mathematics (barring Blue draw/meld). The 2 games I've done this I've managed to tech up significantly farther ahead of my opponent and win from using Composites in one game and Bioengineering in the other.
