Articles, determiners, and quantifiers are those little words that precede and modify nouns:
the teacher, a college, a bit of honey, that person, those people, whatever purpose, either way, your choice
Sometimes these words will tell the reader or listener whether we're referring to a specific or general thing (the garage out back; A horse! A horse! My kingdom for a horse!); sometimes they tell how much or how many (lots of trees, several books, a great deal of confusion). The choice of the proper article or determiner to precede a noun or noun phrase is usually not a problem for writers who have grown up speaking English, nor is it a serious problem for non-native writers whose first language is a romance language such as Spanish. For other writers, though, this can be a considerable obstacle on the way to their mastery of English. In fact, some students from eastern European countries — where their native language has either no articles or an altogether different system of choosing articles and determiners — find that these "little words" can create problems long after every other aspect of English has been mastered.
Determiners are said to "mark" nouns. That is to say, you know a determiner will be followed by a noun. Some categories of determiners are limited (there are only three articles, a handful of possessive pronouns, etc.), but the possessive nouns are as limitless as nouns themselves. This limited nature of most determiner categories, however, explains why determiners are grouped apart from adjectives even though both serve a modifying function. We can imagine that the language will never tire of inventing new adjectives; the determiners (except for those possessive nouns), on the other hand, are well established, and this class of words is not going to grow in number. These categories of determiners are as follows: the articles (an, a, the — see below; possessive nouns (Joe's, the priest's, my mother's); possessive pronouns, (his, your, their, whose, etc.); numbers (one, two, etc.); indefinite pronouns (few, more, each, every, either, all, both, some, any, etc.); and demonstrative pronouns. The demonstratives (this, that, these, those, such) are discussed in the section on Demonstrative Pronouns. Notice that the possessive nouns differ from the other determiners in that they, themselves, are often accompanied by other determiners: "my mother's rug," "the priests's collar," "a dog's life."