Hyman was selected by the Florida Panthers in the fifth round (No. 123) in the 2010 NHL Draft after he had 75 points (35 goals, 40 assists) with Hamilton of the Ontario Junior Hockey League. In 2010-11, he was named the Canadian Junior A Player of the Year and RBC CJHL Player of the Year after he had 102 points (42 goals, 60 assists) in 43 games.
Hyman played collegiately at the University of Michigan, where he had 89 points (35 goals, 54 assists) in 151 games. In 2014-15, his senior season, he led the Big Ten with 54 points (22 goals, 32 assists) in 37 games and was named a First Team All-America and a Hobey Baker Award finalist.