Julie K. answered 10/22/21
Patient tutor for reading, ESL, psychology, math, K-8, homeschool
Although the cerebellum helps coordinate movement, it is believed that the cerebellum plays a role in language becoming automatic. Here are some references that may be helpful.
Krafnick, A. J., Flowers, D. L., Napoliello, E. M., & Eden, G. F. (2011). Gray matter
volume changes following reading intervention in dyslexic children. NeuroImage,
57(3), 733–741. http://doi.org/10.1016/j.neuroimage.2010.10.062
Diamond, A. (2000). Close interrelation of motor development and cognitive development
and of the cerebellum and prefrontal cortex. Child Development, 71(1),
44–56. doi:10.1111/1467-8624.00117