Moore played his freshman year at
Illinois State, where he averaged 10.0 points and 3.9 assists per game and was named to the
Missouri Valley Conference All-Freshman team. In the first round of the
2012 National Invitation Tournament, Moore scored 24 points in a 96–93 win against
Ole Miss. He posted 25 points in their 92–88 loss to eventual champion
Stanford. After the season, Illinois State coach
Tim Jankovich accepted an assistant coach job at
SMU. "As soon as Coach Jankovich left I made up my mind and knew I wanted to go play for a BCS program," Moore stated. "It didn't matter who was going to be the head coach. My decision had already been made." He ended up transferring to SMU to play under
Larry Brown. In his sophomore season, Moore posted averages of 13.6 points, 4.9 assists, 2.3 rebounds and 1.5 steals in 32.2 minutes per game. Moore scored in double figures in 30 of the Mustangs' 37 games. In the quarterfinals of the
2014 National Invitation Tournament, he hit a 3-pointer to in the closing seconds to help SMU to a 67–65 win over
California. As a junior, Moore led SMU in scoring (14.2 points per game) and assists (5.2 per game) in 34.5 minutes per game. He shot 42.2 percent from the floor and 40.8 percent on 3-pointers. Moore, who called being coached by Larry Brown stressful, improved his hot-headedness and won praised for having a quick hand. "He [Brown] showed me the ropes of the game," Moore said. "I thought I knew it, but he slowed my game down and made me think like a point guard and how to be a leader." On February 1, 2016, he was named one of 10 finalists for the Bob Cousy Point Guard of the Year Award. He was named to the 35-man midseason watchlist for the
Naismith Trophy on February 11. ==Professional career==