How microcomputers are to be utilized in on-going mathematics instruction is discussed. In the first section, the ideas of Skinner are considered in relation to microcomputer use. How computer-assisted instruction would appear when Skinner's programmed learning suggestions are followed is described, and other points of his philosophical beliefs are discussed. In the next section, the use of microcomputers for drill and practice is noted, with questions raised. The use of word processing in the mathematics curriculum and in particular in problem solving is next discussed. This leads to a discussion of the broader meaning of problem solving. The fifth section considers remedial work, with characteristics of useful software listed. Next, the usefulness of simulations is discussed, followed by sections on tutorial concepts, correlating mathematics with other curricular areas, computer managed instruction, and computer literacy. In-service education with computers is the subject of the final section, emphasizing teacher workshops. (MNS)