I'm looking at an elementary school grammar book for my daughter which says:
A word that tells which about a noun is an adjective. A word that tells whose about a noun is also an adjective. Example:
Carl's brother is in fourth grade.
Carl is a noun because it names a person. But Carl's is an adjective because it tells whose.
To use a noun as an adjective that tells whose, put 's after it. This is called the possessive form of the noun.
Later it gives a related example:
His brother is in fourth grade.
His takes the place of Carl's so His is an adjective.
In the teacher section it talks about the second example (His brother) as being an example of possessive pronouns, which are also called pronominal adjectives as they are pronouns in essence but adjectives in function.
It also says:
A, an, and the are adjectives that are used before nouns. These little words can be called noun markers. Whenever we see a, an, or the, we know that a noun will soon follow.
Now I don't remember learning any of this when I was a kid, so I want to verify that the book is correct in how it explains these words as adjectives. Is this considered correct in modern English and is there anything I should add to the explanation?