The idea behind turn check behind is simple. If the guy has a monster (i.e. a set) i pay him off on his river bet. If he tries to bluff on the river thinking I dont have anything, I pick off his bluff. If he has some weak pocket pair, then I make a big bet on the river after his check making it look like a bluff. He calls and I get a bunch of extra value from the weak hand that I wouldnt have gotten from making a turn bet.
Here is an example of it in action..
PokerStars Game #2784533465: Hold'em No Limit ($1/$2) - 2005/10/12 - 02:58:12 (ET)
Table 'Aglaja' Seat #9 is the button
Seat 1: stickboy26 ($84.90 in chips)
Seat 2: roughjustice ($47.95 in chips)
Seat 3: rps5000 ($204.30 in chips)
Seat 4: jeffbeesdat ($146.90 in chips)
Seat 5: Nerdybird ($177 in chips)
Seat 6: Triple9 ($188.10 in chips)
Seat 7: ppearman ($128.75 in chips)
Seat 8: AbsoluteAces ($200 in chips)
Seat 9: EvilEcstasy ($193.35 in chips)
stickboy26: posts small blind $1
roughjustice: posts big blind $2
ppearman: posts small & big blinds $3
AbsoluteAces: posts big blind $2
*** HOLE CARDS ***
Dealt to EvilEcstasy [Ad Qd]
rps5000: folds
jeffbeesdat: raises $2 to $4
Nerdybird: folds
Triple9: folds
ppearman: calls $2
AbsoluteAces: calls $2
EvilEcstasy: calls $4
stickboy26: folds
roughjustice: calls $2
*** FLOP *** [7d 4h Ac]
roughjustice: checks
jeffbeesdat: checks
ppearman: checks
AbsoluteAces: checks
EvilEcstasy: bets $8
roughjustice: folds
jeffbeesdat: calls $8
ppearman: folds
AbsoluteAces: folds
*** TURN *** [7d 4h Ac] [Td]
jeffbeesdat: checks
EvilEcstasy: checks
*** RIVER *** [7d 4h Ac Td] [4c]
jeffbeesdat: checks
EvilEcstasy: bets $28
jeffbeesdat: calls $28
*** SHOW DOWN ***
EvilEcstasy: shows [Ad Qd] (two pair, Aces and Fours)
jeffbeesdat: mucks hand
EvilEcstasy collected $91 from pot
*** SUMMARY ***
Total pot $94 | Rake $3
Board [7d 4h Ac Td 4c]
Seat 1: stickboy26 (small blind) folded before Flop
Seat 2: roughjustice (big blind) folded on the Flop
Seat 3: rps5000 folded before Flop (didn't bet)
Seat 4: jeffbeesdat mucked [Kh Kc]
Seat 5: Nerdybird folded before Flop (didn't bet)
Seat 6: Triple9 folded before Flop (didn't bet)
Seat 7: ppearman folded on the Flop
Seat 8: AbsoluteAces folded on the Flop
Seat 9: EvilEcstasy (button) showed [Ad Qd] and won ($91) with two pair, Aces and Fours