The California Mathematics Project (CMP) was created in 1982 to improve mathematics competence of students by implementing exemplary in-service training programs for existing mathematics teachers. This report provides a summary of local project evaluations and an assessment of the extent of program implementation and progress toward achieving project goals. In addition, the report seeks to establish the basis for evaluating project effectiveness in 1987 by clarifying the role of in-service teacher training in the improvement of students' mathematics competence and its relationship to issues of program evaluation. The report includes comments on: the decline in and efforts to improve students' mathematics competence; enactment of the CMP; implementation of the project; the nine local California projects; goals and objectives of the projects; progress to date on local project activities; and local project evaluations. A summary and conclusions are also included. It is pointed out that the project has made reasonable progress in implementing its mandated goals and objectives and that successful achievement of the goals is likely to hinge on issues related to the geographic distribution of mathematics skills training; attention to the needs of females, minority, and low-income students; and project evaluation. (Individual project summaries are provided in an appendix.) (JN)