
Angie S. answered 09/05/19
ESL Teacher With 10 Years of Math, History, and English Tutoring
This is what is so terrible about the English language, because the answer is both. Unlike possessive determiners, where they only express who owns something, demonstrative determiners are demonstrative adjectives because they express a location (although this can be related to time, too) and they specify quantity.
Here's an example with location:
The sheep are white.
These sheep are white. (Now I know that the sheep are near the speaker and there is more than one, although our conjugation of "to be" told us that.)
Those sheep are white. (Now I know that the sheep are far from the speaker.)
And an example with time:
This time, it will be fun. (Right now/in the near future)
That time, it wasn't fun. (In the past)
I must say, though, that if a test was put in front of me and I had to pick between the two (which is a very cruel thing to do), I would say they were demonstrative determiners because they can take the place of a definite/indefinite article.