Anyone who believes that educational reform is something needed only at the school level will be disabused of that notion by reading this document. This report, prepared by a committee of distinguished citizens from academia, industry, and public policy, calls for sweeping change in mathematics education at the College - University level to parallel change underway in the nation's schools. Both levels play key roles in advancing science and technology and in preparing the broader work force and quantitatively literate citizenry the country needs. Previous publications prepared by the committee are "A Challenge of Numbers," which might be reviewed as an appendix to this document, just as "Everybody Counts - A Report to the Nation on the Future of Mathematics Education" might be considered its introduction. Chapters include: The Challenge, The Myths, Behind the Myths, Facing the Myths, Moving Beyond Myths, Mathematics Beyond Myths, and Evidence and Documentation. An appendix contains Challenges for College Mathematics: An Agenda for the Next Decade, a summary of a joint report from the Association of American Colleges and the Mathematical Association of America, and lists members of: the Committee on the Mathematical Sciences in the Year 2000; the Board on Mathematical Sciences; and the Mathematical Sciences Education Board. Contains 17 references. (MKR)