After a loss to Auburn in 2011, Stephen Garcia was benched due to inconsistent play. Shaw then passed for 311 yards and four touchdowns in a blowout of Kentucky. Shaw was named the SEC's offensive player of the week due to his performance. After missing his first pass of the game on September 22, 2012, Shaw completed his final 20 passes for 252 yards and 2 touchdowns as the Gamecocks defeated Missouri 31–10 at Williams-Brice Stadium. On October 26, 2013, Shaw was unable to start because of illness and a sprained left knee but came off the bench to lead the Gamecocks from a 17-point deficit to defeat the No. 5 Missouri Tigers 27–24 in double overtime. After leading the Gamecocks to a 31–17 victory over rivals Clemson on December 1, 2013, Shaw had the best record as a quarterback in Gamecock history, finishing with a 27–5 record as a starter, including a perfect 17–0 at home. On December 6, Shaw was invited to play in the 2014 NFLPA Collegiate Bowl. In his final college game on January 1, 2014 Shaw ran for a touchdown, threw 3 touchdowns and caught 1 touchdown and went 22–24 throwing for 312 yards in the Capital One Bowl. He was voted the game's most valuable player for his performance.
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Professional career
Cleveland Browns
Shaw went undrafted in the 2014 NFL Draft, and later signed with the Cleveland Browns following the draft. In his preseason debut, he completed 8 of 9 passes for 123 yards with one touchdown and no interceptions against the Washington Redskins. He was released on August 30, 2014, but re-signed to their practice squad the next day. Due to injuries to Johnny Manziel and Brian Hoyer, on December 22, 2014, Shaw was called up from the practice squad to be on the active roster. Shaw was also announced as the starter for the season finale against the Baltimore Ravens. In his first and only career NFL start against the Baltimore Ravens, Shaw went 14/28 for 177 yards with 1 interception and 0 touchdowns, including a 49-yard pass to wide receiverTaylor Gabriel after avoiding pressure. On August 13, 2015, in a preseason game versus the Washington Redskins, Shaw injured multiple ligaments in his thumb, requiring surgery. It was reported that he would be facing a 12-week recovery time along with rehab, likely keep him out for the season. On June 30, 2016, Shaw was released by the Browns.
Chicago Bears
On July 1, 2016, Shaw was claimed off waivers by the Chicago Bears. The New Orleans Saints had accidentally sent out an email to the other 31 NFL teams, instead of the league office, indicating that they intended to claim Shaw off waivers. The Bears had waiver-claim priority over the Saints because of a worse 2015 record. On August 30, 2016, Shaw was placed on injured reserve for a broken leg sustained in preseason. On March 4, 2017, Shaw signed a one-year extension with the Bears. On May 30, 2017, he was waived by the Bears, becoming a free agent only to have the Bears rescind the waiver on the same day following an injury to Mark Sanchez. He suffered a hamstring injury during a preseason game against the Cleveland Browns on August 31. He was waived/injured on September 2 and placed on injured reserve on September 4, 2017. He was released on September 8, 2017.
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Coaching career
In January 2018, Shaw signed on to be a tight ends coach at Furman University. In August, prior to the start of the season, Shaw resigned due to his commitment in an undisclosed "private business" opportunity. The Paladins went on to go 6-4 over the course of the season and win a share of the Conference championship.