The son of an Orthodox rabbi, Schemer was a star multiple-sport athlete at Miami. Schemer served in the U.S. Army during World War II. After the war, the first-baseman was picked up by the New York Giants. He got his 2 hits against the Cardinals in his Major League debut. A few days, he hit a 3-run homer against the Cubs. It proved to be his only big league homer. Despite hitting .333 in 1945 in 31 games, the Giants were looking for more power at first. In 1946, he got only one pinch-hit appearance with New York and never played again in the big league.