The county superintendent shall assist the trustees of any district that does not employ a district superintendent or principal with the supervision of their schools by:
(1) visiting each school of the district at least once a school year while pupil instruction is being conducted to observe the instructional methods, ability of the teacher, progress and discipline of the pupils, and the general conditions of the school;
(2) special visits to the schools on request of the trustees;
(3) advising and directing teachers on instruction, pupil discipline, and other duties of the teacher;
(4) consulting with the trustees on all school matters that may be found during the observation of the school or may otherwise come to the attention of the county superintendent.