Nonsense. Perhaps you should "bother to read American history a little more". Government schools are an invention of the latter part of the 19th century, as a component of the Progressive movement. Public education was not universal in the United States until 1920.
You are absolutely wrong. Public school systems in America date back to colonial times, and as the country expanded so did public schools. The public school systems of the various states, mandated through State Constitutions, used many universal text books such as: 'Pike's Arithmetic' , 'Smith's Grammar/Speller', Webster's Dictionary, The Bible, 'Parley's English Reader', etc. And a CHRISTIAN education was included.
The Boston Latin School was established as the first public school in America in 1635.
The 'Connecticut Code' of 1650 required each town with fifty families to hire a schoolmaster to teach students to read and write. In 1717 the Connecticut General Assembly required every town with more that one parish to have a school. Towns of one hundred families were to open “Grammar Schools”. In 1864 school property was made tax exempt. The upkeep of the school was to come from a tuition paid by the parents, but the towns were mandated to cover the cost for children too poor to afford it.
The 1777 original Constitution of Vermont mandated a statewide educational system beginning with the primary school and extending through the university level. In 1826 the Vermont Constitution provided for statewide taxation to support free public schools.
In 1829 the 'Delaware Free School Act' passed through legislation, creating the first public schools in the state.
In 1708 New Hampshire's first free public school was founded, and in 1830 their first public high school opened. A statewide public school system was established in 1919.
In 1810 the Pennsylvania General Assembly ordered all lands belonging to the Church of England to be sold, and these public funds to be used for the 'Literary Fund'--- for the education of the poor, and this began the Pennsylvania state (public) system of education. In 1818 the first School Commissioners were appointed, and by 1829 and a system of district schools was planned.
The State of California began their public school system under their Constitution of 1849, which mandated the setting aside of massive public lands and tax funds to support and maintain these public schools.
In January 1898, Long Island officially became part of greater New York and on April 15th the First Ward school was renamed Public School 1.