Tennessee has beautiful countryside and is known for agriculture, but the state does not have many high-paying jobs for early education workers. The average salaries for kindergarten teachers and child care workers are closest to the national average, at approximately $44,000 and $18,000, respectively.Chattanooga and Memphis are where many of the higher-paying jobs are.he average salaries for kindergarten teachers and child care workers are closest to the national average, at approximately $44,000 and $18,000, respectively. Chattanooga and Memphis are where many of the higher-paying jobs are.