Schneider earned his secondary education at Marblehead High School in his hometown and Phillips Academy, a prep school in Andover, Massachusetts, where he graduated. In addition to hockey, he was also a varsity baseball player for two years during his time at Phillips Academy. While excelling in sports, Schneider also maintained proficiency in academics. Following his senior year, he received the school's Yale Bowl and the Boston Bruins' John Carlton Memorial Trophy, both for achievement in scholarship and athletics. While enrolled at Boston College, Schneider majored in finance in the institution's Carroll School of Management. He continued to be recognized for academic achievement, being named to two Hockey East All-Academic Teams and earning Paul Patrick Daley Student-Athlete Scholarship in 2006.