25NL - KK with ace on the flop

[TheCutter]

Poker Stars
No Limit Holdem Ring game
Blinds: $0.10/$0.25
6 players
Converter (http://www.neildewhurst.com/hand-converter)

Stack sizes:
UTG: $16.05
Hero: $37.50
CO: $16.85
Button: $23.50
SB: $28.95
BB: $11.20

Pre-flop: (6 players) Hero is UTG+1 with K/images/graemlins/club.gif K/images/graemlins/heart.gif
UTG folds, <font color="#cc0000">Hero raises to $1</font>, CO folds, Button calls, 2 folds.

Flop: 5/images/graemlins/heart.gif T/images/graemlins/club.gif A/images/graemlins/club.gif ($2.35, 2 players)
<font color="#cc0000">Hero bets $2</font>, Button calls.

Turn: 9/images/graemlins/club.gif ($6.35, 2 players)
<font color="#cc0000">Hero bets $2.25</font>, Button calls.

River: 5/images/graemlins/spade.gif ($10.85, 2 players)
Hero checks, <font color="#cc0000">Button bets $5</font>, Hero folds.
Uncalled bets: $5 returned to Button.

Results:
Final pot: $10.85

Turn: Should I have checked, or bet bigger?

[Bort99]

Check and consider calling small bets on the turn and river. Donking into the pot here is bad.

[Sir Winalot]

I'm usually checking the flop. As played, check turn. As played, river is probably a fold.