Connect, or push first
Conceived by HolIgor
But look at the diagram.
Pushing first has advantages. The kikashi stone became heavier.
Now the task is to formulate an heuristic rule to choose a proper reply.
Pushing also has disadvantages: White probably won't play and will keep it as a ko threat. Later, if a fight develops in the area, moves other than might also become sente. These little things often make the difference in strong players' games.
And while Alain has a point about White's not playing right away, if White plays elsewhere, the exchange of with is not good for White. The following looks more realistic:
See also kikashi and influence.