Texas Art Teacher Salaries. According to the National Education Association, the average starting salary for teachers in Texas (as of the 2012-2013 school year) is $38,091, somewhat higher than the national average of $36,141.exas Art Teacher Salaries. According to the National Education Association, the average starting salary for teachers in Texas (as of the 2012-2013 school year) is $38,091, somewhat higher than the national average of $36,141.