Born in San Antonio, Texas, Schneider received an Associate of Arts degree from Lon Morris College in 1963, a Bachelor of Science degree from Stephen F. Austin State University in 1965, and a Juris Doctor from the University of Houston Law Center in 1970.
Schneider served as an assistant district attorney in the Harris County, Texas District Attorney's Office from 1971 to 1975, before entering private practice in Texas from 1975 to 1976.
He was a general attorney of Dresser Industries from 1976 to 1980, also serving as a municipal judge (part-time) for the City of West University Place, Texas from 1978 to 1990.
Schneider entered into his judicial career as presiding judge of the 157th District, Harris County, from 1990 to 1996, thereafter becoming chief justice of the First Court of Appeals of Texas in Houston, from 1996 to 2002.
On May 17, 2004, Schneider was nominated by President George W. Bush to a seat on the United States District Court for the Eastern District of Texas vacated by John H. Hannah Jr. Schneider was confirmed by the United States Senate on September 7, 2004, and received his commission on September 10, 2004.