A second-half Hugh Gustafson try and 11 points from the boot of Jason Tovey gave the Dragons a 19-5 victory.
And Jones, who insists his side's defensive solidity was the key behind shutting down the Edinburgh attack, was delighted to get back to winning ways.
"Edinburgh are very good at what they do and we knew that we had to close them off and force them into Plan B, which we did," he said.
"We showed a lot of passion, desire and pride in the shirt to make up for two poor performances.
"We didn't become a bad team in the space of eight days. We knew that we had to remind ourselves of what we are good at and get back to it.
"It's about learning. It was a bitter pill to swallow in Edinburgh. They rose to the occasion and played really well, everything went well for them and they scored 45 points.
"But Boris Stankovich comes back, Rynard Landman comes back, Nic Cudd comes back and does some heroics, that's what you need - best players in big games."
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