The Council for Basic Education cosponsored 11 mathematics and science institutes for secondary school teachers on college and university campuses in 9 American cities in 1984. This approach was a response to the national concern over the state of mathematics and science instruction and was facilitated through support of public and private institutions. This report contains information about the programs' formats and offers suggestions for future planners and participants of similar projects. Program descriptions include: (1) planning phases; (2) recruitment, selection and orientation procedures; (3) curriculum and instruction emphasis; (4) incentives and stipends offered; and (5) evaluation and follow-up plans. Evaluative comments of the summmer experience are given by the participants. An appendix contains a listing of the school districts, universities and funders that were involved in the institutes. Two of the "lessons" learned from the institutes are that early clarification of the aims and emphases of an institute is all-important and that careful thought could be given to requiring an orientation session at which all aspects of the institute are canvassed. (ML)