The Tannadice club were cruising at 3-0 after just eight minutes of their match with Caley Thistle before they surrendered a healthy lead and needed a last-minute Jon Daly penalty to secure a share of the spoils in the 4-4 draw.
Now, United are preparing to take on their Edinburgh opponents in the capital this weekend, and Houston wants his players to show a positive reaction from last Saturday's disappointment as they bid to climb the SPL table.
Houston said: "The players were frustrated with the fact we didn't get three points last week when we should have done.
"There were loads of times throughout the course of the game that we played some really good stuff and should have killed the game off.
"We've spoken about it and hopefully we can get the right result away to Hearts.
"I'd be worried if we weren't creating chances but we certainly need to make sure we defend corner kicks better, and that's what we've been working on this week with a view to this game at Tynecastle."
United have a reasonable record at Tynecastle and Houston hopes they can keep that going in their quest to kickstart their season for real.
He said: "We've done fairly well there in the recent past.
"It's always a nice and venue to go and play football and there's usually a good atmosphere.
"The fans are right on top of the pitch which can bring out the best in players. I'm obviously hoping our players rise to the occasion and it's around about the turn of the year that we usually have a good run, but hopefully it starts a wee bit earlier."
- Sports & Recreation