The State Board of Education shall exercise, through the State Superintendent of Education and his professional assistants, general control and supervision over the public schools of the state, except institutions of higher learning which by law are under the general supervision and control of a board of trustees, and shall consult with and advise through its executive officer and his professional assistants, county boards of education, city and town boards of education, superintendents of schools, school trustees, attendance officers, principals, teachers, supervisors and interested citizens, and shall seek in every way to direct and develop public sentiment in support of public education.