Keep in mind that strengthening her memorization skills will support her ability to count, so memorizing songs & rhymes can be very helpful. Counting is simply reciting numbers (words!) in the correct sequence. Many times children will be more attracted to rhymes and songs because they can connect to the meaning. Numbers are very abstract. Once kids begin to grasp quantity, and one-to-one correspondence, there is SOME meaning to the numbers/words they're reciting when they count items, but the meaning of songs, rhymes, and chants is generally more accessible.
And be sure to notice & appreciate what your daughter actually is doing & mastering, (what her interests & activities reflect about her learning), even as you are keen to help her develop skills that matter to you. Four year olds are pretty amazing in their busy-ness and in the connections they are actively making, not to mention their active "wondering."
at 10:49 AM on Sep. 30, 2013