Pools followed up back to back 3-0 wins over Torquay and Newport with another convincing display at Victoria Park.
Cooper's side sit three points shy of the top seven in 10th place with nine games to go.
Pools took the lead after just 58 seconds when Marlon Harewood set them on their way with a close-range header from Jack Barmby's corner.
Cooper said: "Home form is going to be crucial in the coming weeks. We were fantastic and I can do no more than wax lyrical.
"It's the best start we have had all season at home.
"I'm delighted, we had some very good individual displays and collectively it was fantastic.
"Keep the ball away from our goal and we have a chance - that's the watchword.
"It's five clean sheets in a row at home now, which is a fantastic record."
Pools added a classy second when midfielder Bradley Walker curled home a beautiful shot from 25 yards.
Cooper said: "Some of the play excited me. Bradley's goal is fantastic, the way he received the ball and struck it.
"To score so early, it's great. The second goal was sublime and some of our attacking play was very, very good from the off."
Number three arrived after 56 minutes from Simon Walton's penalty before Jon Franks rounded it off in the 90th minute from 12 yards.
Cooper added: "We set out some statistics before the game about where we are and where we want to be.
"The run-in is going to be hard.
"Hopefully this sends out a message and makes the players puff their chests out."