Answer: proofreader

AnswerCrossword Clue
PROOFREADERSlip spotter
PROOFREADEROne looking for trouble, in a way
PROOFREADERGeometry teacher's second career?
PROOFREADEREditor-geometry teacher
PROOFREADERMember of the math faculty, at times?
proofreaderPROOFREAD, to read checking for mistakes