It depends a lot on when white plays that push, whether white has already extended on the top side, how strong the groups are etc.
But first we should say, that if you block, it means that white pushed in sente, he didn't spend a move on it. That push and block is a gain for white (gains a few points, takes a few from black, makes white a bit stronger and have more eyes, makes black a bit weaker and have fewer eyes), so he gained in sente, i.e. for free. So if you want a single answer, it is don't block.
- Click Here To Show Diagram Code
[go]$$B If W sente push
$$ ------------------
$$ | . . . . . . . . .
$$ | . 3 2 O . . . . .
$$ | . . X . . O . . .
$$ | . . . X . . . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .[/go]
By comparison imagine black blocks there and white answers (so black didn't spend a move):
- Click Here To Show Diagram Code
[go]$$B If B sente block
$$ ------------------
$$ | . . . . . . . . .
$$ | . . 1 O . . . . .
$$ | . . X . 2 O . . .
$$ | . . . X . . . . .
$$ | . . . . . . . . .
$$ | . . X . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .[/go]
I hope you can see the 2nd diagram is a lot better for black than the first (as an exercise try to count the point difference, it might surprise you how big it is). In both of these the player who answered the corner move lacked fighting spirit, letting his opponent gain for free. I hope this makes you realise how important profit in sente is.
In your first diagram white hasn't extended on the top side yet, so that white group is not yet stable. In that case the corner block is not only about points, but also eyes for the white group. If you block and white tenukis you can attack like below. White would then probably run at
a. Black would gain profit by chasing white (e.g. 5 could develop the top side). But also white profited from his tenuki of 4 so it would depend how big that tenuki was if it's worth suffering the weak group chase here, but generally a weak group running like this is a big minus.
- Click Here To Show Diagram Code
[go]$$B 4 tenuki
$$ ------------------
$$ | . . . . . . . . .
$$ | . 3 2 O . . . . .
$$ | . . X . . O . 5 .
$$ | . . . X . . . . .
$$ | . . . . . a . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .[/go]
However, white probably wouldn't tenuki, but extend. Now it's like the joseki, but white has got the push in the corner in sente. This is good for white. He does not deserve to get that push in sente so early in the game. So black has been tricked a bit here.
- Click Here To Show Diagram Code
[go]$$B
$$ ------------------
$$ | . . . . . . . . .
$$ | . 3 2 O . . . . .
$$ | . . X . . O . . 4
$$ | . . . X . . . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .[/go]
So another idea for black is to pincer immediately:
- Click Here To Show Diagram Code
[go]$$B
$$ ------------------
$$ | . . . . . . . . .
$$ | . c 2 O . . . . .
$$ | . a X . . O . 3 .
$$ | . b . X . d . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .[/go]
Now if white goes into the corner with
a black can end up covering the outside with
d. Black is probably happy here as we can compare with the joseki where black pincers instead of 3-3 (5 can also be
a and white usually blocks and then black 5, but white can vary) then we can see that in the joseki white has occuped the 3-3 point so has a bigger corner than above.
- Click Here To Show Diagram Code
[go]$$B
$$ ------------------
$$ | . . . . . . . . .
$$ | . . . 2 . . . . .
$$ | . . 4 . a O . 3 .
$$ | . . . X . 5 . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .
$$ | . . . . . . . . .[/go]
Another idea is to simply extend on the left side. This makes sure this group is safe (the push in the corner means white aims at pincering the group to attack it at
a) and keeps blacks options as to how to play on the top side open. Keeping options open is generally a good idea. The thinking here is black doesn't want to exchange
a for
b as
b makes white stronger on the top side so black can't develop there any more, and maybe that area is more important than the corner later.
- Click Here To Show Diagram Code
[go]$$B Calm extend
$$ ------------------
$$ | . . . . . . . . .
$$ | . a 2 O . . . . .
$$ | . . X . . O . . b
$$ | . . . X . . . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .
$$ | . . a . . . . . .
$$ | . . 3 . . . . . .[/go]
Black can also simply tenuki this entire corner.
One thing that should be said, in case you are not aware of this common shape in which white already has the marked stone pincering the black corner (and has extended on the top side too). In that case blocking at 3 is rather dangerous as white has the placement at 4 which scoops out black's eyes and leaves him with a weak running group (though black may be able to resist with 5 at
a).
- Click Here To Show Diagram Code
[go]$$B
$$ ------------------
$$ | . . . . . . . . .
$$ | . 3 2 O . . . . .
$$ | . 5 X . . O . . O
$$ | . 4 . X . . . . .
$$ | . a 6 7 . . . . .
$$ | . 8 X . . . . . .
$$ | . . . . . . . . .
$$ | . . W . . . . . .
$$ | . . . . . . . . .[/go]
Because of this threat you will often see black answer that pincering stone in the corner:
- Click Here To Show Diagram Code
[go]$$W
$$ ------------------
$$ | . . . . . . . . .
$$ | . . 2 O . . . . .
$$ | . . X . . O . . O
$$ | . . . X . . . . .
$$ | . . . . . . . . .
$$ | . . X . . . . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . . . . . . .[/go]
If black didn't answer it though, then when white does push it is usually better for black to move out, for example with a move like this which aims at making shape at
a and pressing at
b, or even starting more running fights with the counter pincer at
c.
- Click Here To Show Diagram Code
[go]$$W 2 tenuki
$$ ------------------
$$ | . . . . . . . . .
$$ | . . 3 O . . . . .
$$ | . . X . . O . . O
$$ | . . . X . a . . .
$$ | . . . . . . . . .
$$ | . . X . . 4 . . .
$$ | . . . . . . . . .
$$ | . . 1 . . . . . .
$$ | . . . b . . . . .
$$ | . . c , . . . . .[/go]