Technology and technology-intensive mathematics curricula are catalyst
s for the mathematics education reform movement. Students can understa
nd mathematics more deeply when they assume responsibility for their o
wn learning as they engage in and reflect on authentic mathematical ac
tivity. Analyzing technology in mathematics classrooms as cognitive te
chnologies with differing degrees of transparency and different abilit
ies to externalize representations, viewing technology used to enhance
computational skills as amplifiers, and viewing technology used to en
courage students to investigate mathematical phenomena and real-world
situations as reorganizers, I evaluate the ways in which empirical res
earch supports this vision or calls it into question.