Were Everton good ... or Newcastle bad?
There was only one answer to that.
"I thought it was the first time this season we managed the game for 90 minutes," he said.
"The big difference from our other home games was when the opposition had a good spell the ball ended up in the back of our net but [tonight] we probably anticipated that and defended with a real intensity.
"I thought it was a real professional performance. In the second half, when you expected Newcastle to have a bit of a reaction, we had two or three opportunities and scoring that second goal [earlier] would have been very different but we didn't let that affect the scoreline."
Barkley was at the heart of Everton's best moves and Martinez paid tribute to the England midfielder on his 100th Premier League appearance.
"Probably last year and the season before he was a young man with enormous potential, today he showed he is not a young man any more in footballing terms," he added.
"He is a player who is ready to lead the team; his decision-making has gone to a different level and I don't think he is a potential player any more."
Everton lost leading scorer Romelu Lukaku to a back injury at half-time and the striker is a doubt for Saturday's trip to Stoke while defender John Stones missed the game with a hamstring problem and will be out a little longer.
"He (Lukaku) couldn't walk. He had a knee in his back and tried to run it off in the first half and couldn't," said Martinez.
"We are playing on Saturday and it will be difficult to see him make it but it is not a major problem.
"Stones had a bit of a niggle in his hamstring and he had a scan yesterday and it was all clear.
"I think it was a fatigue reaction. He is 21 and at this stage has played more games than at any time in his professional career.
"I expect him to be back in the next week or 10 days."