"To reform this movement" means to make changes or improvements in the way the movement functions or operates, with the aim of making it better, more efficient, or more effective. Full definition
It's been a great joy to be part of the education reform movement for the past twenty years. (hechingerreport.org)
A central claim of the current reform movement in mathematics education is that students benefit from comparing and contrasting multiple solution methods. (gse.harvard.edu)
It is the nature of reform movements that, although grassroots movements can be instrumental, systemic change usually comes only when elite opinion moves to the side of change. (sciencemag.org)