Standards-based instructional reform has been occurring in all major school
subjects. However administrators' supervisory practices have generally nor
taken account of subject-matter content bur have focused primarily on peda
gogical process. This article addresses how administrators can better suppo
rt standards-based instruction by shifting their approaches to supervision
to attend to the intersection of process and content. The article reports o
n a study that looked at what administrators thought significant when viewi
ng the same videotape of a fifth-grade mathematics lesson at the beginning
and end of a professional development seminar on supervision. It describes
the different interpretations of the same events at these two times to illu
strate the emergence of new principles to guide the exercise of administrat
ors' professional judgment in classroom observation and supervision. The ar
ticle concludes that there is a need to bring adequate subject-matter knowl
edge to the process of supervision and suggests several possible directions
for achieving this shift.