A bipartisan group of educators and business and labor leaders announced on Monday their support for a common curriculum that states could adopt for public schools across the nation.

The proposal, if it gains traction, would go beyond the common academic standards in English and mathematics that about 40 states adopted last year, by providing specific guidelines for schools and teachers about what should be taught in each grade.

For decades, similar calls for common academic standards, curricular materials and tests for use nationwide  the educational model used by many countries in Europe and Asia  have been beaten back by believers in America’s tradition of local control of schools.

But last year’s successful standards-writing movement was a departure, leaving the outlook for this proposal uncertain.