Sahar,
I went to school in the UK. We certainly did a lot of nursery rhymes, but the emphasis there wasn't on reading or word forms but on speaking, listening and copying the teacher's gestures. The words were usually accompanied by actions.
With "The cat sat on the mat" I remember the teacher saying that "the" has a tall letter, a short letter and an in-between letter, and that "m" has two humps while "n" has one.
Words for animals were among the first we ever learnt. In English they tend to be simple three-letter words: cat, dog, rat, pig, cow. I wonder how that differs in other languages. In Romanian, animal words are a bit harder: cat = pisică, dog = câine, rat = șobolan. So maybe they teach those words a bit later.