The conference of which these are the proceedings was held in June-July 1982 at Williams College in Williamstown, Massachusetts. The purpose was to discuss the restructuring of the first two years of college mathematics to provide some balance between the traditional calculus-linear algebra sequence, and discrete mathematics. The volume contains 21 papers presenting arguments both for and against such a change and some ideas as to what a new curriculum might look like. Such topics as symbolic manipulation and algorithms problem solving and modeling, mathematical needs in other subject areas, statistics, and remedial mathematics were included. The papers were generally distributed before the conference, and the discussion transcript follows each paper. The third day of the meeting was devoted to three workshops, two concerned with the curriculum itself and one focusing on the problems of implementing a new curriculum. (MNS)