I'm watching a NHK cup match between Hane Naoki and Chang Hsu with japanese commenters so unfortunately I can't understand the explanations, and there is a move from black I can't understand (move 3 in the diagram). The letters are other potential moves I would find more natural.
$$c
$$ --------------------
$$ -. . . . . . . . . . . . . . . . . . .-
$$ -. . 3 X . . . . a . . . . . . . . . .-
$$ -. . O . . . X . . O . . O . . X . . .-
$$ -. . . O . . . . . . . . . . . . . . .-
$$ -. . . . . . X . . . . . . . . . X . .-
$$ -. . O . . . . . . . . . . . . b . . .-
$$ -. . . . . . . . . . . . . . X . O . .-
$$ -. . . . . . . . . . . . . . . . . . .-
$$ -. . O O . O . . . . . . . . . . . . .-
$$ -. . O X . . . . . . . . . . . . . . .-
$$ -. . X . X . . . . . . . . . O O O . .-
$$ -. . X O X . . X . . . . . . O X X . .-
$$ -. X O 1 X . . . . . . c . . O O X . .-
$$ -. O 2 . . . . O . O . . . . . X X . .-
$$ -. . O . X . . . . . . . X . . . O . .-
$$ -. . . . . X . O . X . . . . . O . . .-
$$ -. . . O . . . . . . . . . . X X X . .-
$$ -. . . . . d . . . . . . . . . . . . .-
$$ -. . . . . . . . . . . . . . . . . . .-
$$ ---------------------
So I have two questions :
1) How many points is worth black move ? (Maybe that's too early to decide). A player stronger than me (~3kyu, I'm ~13kyu) told me these kind of moves were worth ~15 points but I was not convinced.
2) What is the exact meaning of this move, and why play it instead of e.g the other moves indicated ? I feel the purpose is stabilize the black group and making points, but playing on the other side seems more interesting to me as it's also potentially taking away white basis.