Graduated from Lexington High School in Lexington, MA. Drafted by the New York Mets in the 26th round of the 2012 draft but did not sign. Instead he enrolled at Boston College where he played baseball for three seasons. Both of Shaw's parents and several relatives are BC alumn.
Made his Major League debut on August 31...drove in the game-winning run with his first career RBI on a sac fly...Three of his seven RBI gave the Giants a lead...two of the seven were game-winning RBI...Hit a pinch-hit, go-ahead home run for his first career MLB hit on September 3 at Colorado...became the fourth player in SF Giants history to have his first career hit come as a pinch-hit home run...the last to do so prior to Shaw was Damon Minor on September 10, 2000...Had nine hits in his last 32 at-bats (.281) after going 1-for-22 in his first 11 MLB games... His contract was selected from triple-A on August 31, replacing Andrew McCutchen, who was traded to the Yankees...Played in 101 games for triple-A Sacramento, batting .259 with 21 2Bs, 24 HRs and 65 RBI...Led the River Cats in home runs (24) and RBI (65)...his 24 homers were tied for the fifth-most in the PCL..
The left-handed outfielder/first baseman hit .292 across two levels, with 24 home runs and 79 RBI in 125 games with double-A Richmond and triple-A Sacramento... Started off hot in double-A, hitting .301 with six home runs in 37 games...he drew 18 walks and struck out just 26 times in 133 at-bats... Transferred to triple-A in late May and spent the rest of the season with the River Cats, batting .289 with 18 HRs & 50 RBI in 88 games... A former first baseman, Shaw moved to left field to open the door for him to make it to the Major Leagues sooner.