Rearrangements of the microtubule cytoskeleton that contribute to the movement of cells along radial glial cells as a component of the process of cerebral cortex glial-mediated radial migration. [ GOC:dgh GOC:dph http://purl.obolibrary.org/obo/go/references/0000021 GOC:cls GOC:jid http://www.ncbi.nlm.nih.gov/pubmed/12626695 ]