During his administration Indiana adopted its current constitution, and Wright was a driving force in its adoption in 1851 election. Wright was a delegate at the convention where he championed the cause of tax reform, primarily by defining what could and could not be taxed by the state property tax and the creation of a bureau to manage the state's penal and benevolence institutions. The constitution also authorized a major reorganization of the state school system, which was enacted in 1852 with Wright overseeing many parts of the reform. He personally oversaw the creation of school boards across the state and placed tax collectors to begin collecting the revenues for the boards. He also oversaw the creation of the State Board of Education and the State Agricultural Board. Wright was an avid supporter of agriculture and created the State Board of Agriculture to help encourage and assist farm growth in Indiana. Among its early achievements, the first Indiana State Fair was organized in 1851.