Volume 3 of Bold Ventures provides detailed insights about three notable U.S. innovations in mathematics education: the development, dissemination and use of the National Council of Teachers of Mathematics Standards; a `grassroots' effort by teachers to develop and spread Contemporary Precalculus; and the Urban Mathematics Collaboratives' strategies for meeting the professional development needs of inner-city teachers. These cases were part of the United States participation in the largest cross national case study project ever undertaken.