Stereochemistry is controlled by sterics and electronics. Sterics - BH3 prefers to be at the least crowded carbon Electronics -Partial positive character is favored at the more substituted carbon.
Rearrangements don't occur, rearrangements only occur with carbocation intermediates.
Evidence in favor of this mechanism is anti-Markovnikov addition and syn-addition product.
Oxidation of the C-BH2 bonds results in the formation of a non-Markovnikov alcohol