With 25 years of technology-related research in mathematics education to
reflect on but without advance knowledge of the larger picture, we must be
tentative in making sense of tide-level changes. Some of these tidal changes
involve the shift in research methodology from statistically based comparison
studies to cognitive model building based on qualitative studies as
discussed elsewhere in this special issue (see Schoenfeld; Steffe & Kieren).
Others involve the shift in curriculum content focus, from procedural arithmetic
and algebra to problem solving and deeper mathematical reasoning.
Accompanying this latter shift is a pedagogical shift to more active and
responsible engagement on the part of students.