This episode offers you some insight into Columbus, de Vaca, and Champlain by giving you some key insights into the reasons for their narratives, the framing of their writing, and the main characteristics of their various purposes. There is much, much more to explore, but this gives some general overview into their presentation so that you can better understand the reading in the Bedford Anthology of American Literature, Vol. 2. 

Episode image (Since Columbus kidnapped the Taino, I think it more fitting to include de Vaca.):

Ealmagro. Munumento a Alvar Nunez Cabeza de Vaca. Wikipedia, https://en.wikipedia.org/wiki/%C3%81lvar_N%C3%BA%C3%B1ez_Cabeza_de_Vaca#/media/File:Cabeza_de_Vaca1.jpg.