In return, the Knicks received Jose Calderon, Shane Larkin, Samuel Dalembert, Wayne Ellington and two second-round picks in Thursday's draft.
"Jose is a thoughtful guard. He's got great control of the ball. He pushes the ball up, accelerates it up the court," Jackson said. "He's a very good 3-point shooter. He organizes a team quite well and we anticipate he'll fit in to what we're trying to do."
While Calderon is a strong outside shooter, Jackson looks to Dalembert to be a strong interior defender.
"He can replace Tyson's defensive ability -- maybe not be the defensive player of the year like Tyson was, but he's going to be a quality defender," Jackson said.
Jackson took over as team president in March only to discover several chemistry issues between players that needed to be addressed.
"Watching them play I saw guys that looked at each other like, 'You didn't back me up, you weren't here when I needed help,' " Jackson said. "There just wasn't the right combination or feel (where) it felt like everybody was in synch all the time."
This trade is the first step toward addressing those chemistry issues, Jackson hoped his players see that they are moving forward.
"Well, we want to send a message to all of our players that we are on the move and we are making changes and we are making changes to move forward in the direction that we want to go," Jackson said. "We want to be more aggressive defensively, we want to have a certain sense of offensive alacrity, getting up and down the court and challenging defenses to get back and protect the basket."