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The words below can be used as prepositions in a prepositional phrase.
about below in spite of regarding
above beneath instead of since
according to beside into through
across between like throughout
after beyond near to
against but (meaning except) of toward
along by off under
amid concerning on underneath
among down on account of until
around during onto up
at except out upon
atop for out of with
because of from outside within
before in over without
behind inside past  

The words above can be used as prepositions. In order for one of these words to be considered a preposition, it must be part of a prepositional phrase. Here are some examples of a prepositional phrase:

over the hill
behind the door
at Mary's house
without your coat
during lunch
atop Mount Everest

Notice that the prepositional phrase contains no verbs. Generally, they contain an adjective, a noun or pronoun and they can also contain a gerund. The noun or pronoun is the object of the preposition. Prepositional phrases can also contain conjunctions to join two nouns or pronouns as in this example: 

underneath sand and rock

The advantage of being able to recognize prepositional phrases in sentences is that neither the subject nor the verb will ever be a part of the prepositional phrase. Consider this sentence: "The coat on the chair is mine." If we eliminate the prepositional phrase, "on the chair" then we can easily see that coat is the subject and is is the verb.
"The coat on the chair is mine."

An activity to learn prepositions is playing preposition bingo. This game was devised by the author of the Easy Grammar series. There are additional printable bingo cards on this web-site on the Preposition Bingo page. Another activity that my children and I would do is to make up prepositional phrases. Using the list of prepositions or our memory, we would make up phrases for the words such as:

after the fall
behind
my chair
beyond
the sunset
amid
the crowd

The children's book, Bears in the Night (Berenstein Bears), is full of prepositional phrases. Your public library might have a copy of this book.