Strike duo Marcus Tudgay and Leon Clarke both claimed doubles as the Owls followed their 4-1 opening-day win over the Clarets at Hillsborough with another thumping success.
Wednesday have spent much of the season in mid-table and neither a play-off bid nor a relegation dogfight beckons for them this term - but Laws is demanding they finish the campaign strongly.
"We had a meeting with the players last week about where our season is going," said Laws.
"We are stuck in the middle at the moment, where a couple of negative results will drag us into into the bottom end.
"The teams at the bottom are all winning, and they will catch up eventually, but the teams at the top aren't, so which way do we want to go?
"I want to go and try and win games now, so we have to be very open and very attack-minded.
"We might come a cropper playing like that, but the position we are in allows us to do that."
Tudgay found the net with a clinical 19th-minute opener before Chris McCann headed the Clarets level in the 53rd minute but Wednesday ran riot thereafter and totally destroyed their hosts.
Tudgay claimed his second goal in the 69th minute with another tidy finish after Burnley faied to clear a free-kick.
Clarke then claimed centre stage with two fine left-foot strikes to ensure substitute Chris Eagles' late free-kick was no more than consolation for the Clarets, who simply could not cope with Wednesday's strikeforce.
Laws added: "We had to have a team ethic and a work-rate in the midfield area because the wide areas are their strength.
"I felt we dealt with their threat very well and stopped their flow, and Darren Potter had a great performance today.
"He was calm and passed it very simple. It's amazing when you play it simple how effective you become.
"But Marcus Tudgay and Leon Clarke were outstanding - Clarke could have had four today and that will give him a huge lift."
Burnley have recovered from their Hillsborough mauling to make a concerted a bid for the play-offs, and enjoy some fairytale success in the cup competitions.
Yet they once again met their match in Wednesday and their play-off prospects are receding.
Manager Owen Coyle vowed to make changes for Tuesday's trip to Lancashire rivals Blackpool after his defenders failed to perform.
"We shot ourselves in the foot," admitted Coyle.
"We scored two goals but we cannot be looking to score two, three or four goals because we have defended so poorly.
"They were horrendous mistakes for their goals.
"I have been saying all season I want to strengthen the squad but it has not been possible.
"We've given away soft goals and we cannot keep shooting ourselves in the foot."