The School Committee on Monday will hold public hearings at 6 p.m. in the council chamber at City Hall. One will be on a proposed $56 million budget for the 2012-2013 school year. A separate hearing will be held on the Linden School Innovation Plan. The 900-student school would be transformed into the Linden S.T.E.A.M. Academy (an acronym for Science, Technology, Engineering, Arts, and Mathematics). Innovation schools are a state initiative to improve student achievement by allowing schools to be more flexible with staffing, hours, curriculum, and other areas. The Linden School was one of 29 Massachusetts schools awarded state grant money in March to write an innovation school plan. The Linden has applied for another grant to implement the plan, which still must be approved by the School Committee. “We’ve been planning this for a year and we already know some parents support it,” said Linden principal Richard Bransfield. “I looked at the data about our school, MCAS scores, our special education population. We think this is the right direction for our school.”