Teachers at non-elite colleges did much better than their elite counterparts in helping students learn.
…they [the researchers] found that on only one of the five measures, cognitive complexity of the course work, did the elite colleges in the study outperform the nonelite institutions.
On two, standards and expectations of the course work and the level of the instructors’ subject matter knowledge, there were no meaningful differences by prestige level. On two others, though — the extent to which the instructors “surfaced” students’ prior knowledge and supported changes in their views, the lower-prestige institutions outperformed the elite ones. (Source)