Three members are up for re-election this spring and two of them have not decided yet if they will run for another term.
Incumbent Julie Rome, the board's clerk, recently accepted a new job and as a result was unsure if she could maintain her commitment to the school board position as of early this week.
Audrey Ellison, who has been a board member for 16 years, was also undecided as of Wednesday.
Incumbent Rick Moze, however, told Greenfield Patch he does plan to run again.
As of Tuesday afternoon, no candidates had submitted their paperwork to the district, according to Erica Wendelberger, the district's executive assistant to the superintendent.
School board members make $4,200 annually.
Candidates have until 5 p.m. Jan. 3, to file election paperwork.