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Re:Speaking Latin by maw on Tuesday September 14, 2021 @11:15AM (#28526105)
In LLPSI's marketing materials, they call it the "natural method." (I've also seen "nature method.")

Another term is "comprehensible input" -- but I am not certain precisely how the two relate to each other. But hopefully they're enough for you to go on.

Re:Speaking Latin by coyotespike on Tuesday September 14, 2021 @11:42AM (#28526479)
Yes, the terms I've seen are "natural method", "comprehensible input", and "extensive reading."

The latter two refer more to a large volume of simple reading materials which let you work up on your own, practicing and slowly learning more grammar and vocabulary.