I cannot say this enough times, before we ask children to learn how to add or subtract, we need to make sure they have an understanding of number sense.

1. Children need to be able to count to at least 20.
2. Children need to be able to recognize the the numerals 0,1,2,3,4,5,6,7,8,9.
3. Children need to be able to count a given number of objects (to at least 20) correctly.
4. Children need to be able to match up the number with those counted. *** represented by a number 3.
5. Using some counters or objects, children need to be able to show what a number means. The number, 6, means six objects.
5. Children need to be able to orally identify a written number. See a 12, and name it as twelve.
6. Children need to be able to write or type the numbers 1-20.

A few years ago, a young teacher told me that her student could show three objects and four objects and count them correctly to get seven, but the child did not know the numerals.  He did not know the number symbol for seven is 7.  
So, please make sure your students have prerequisite skills in place before you ask them to do new tasks.

After these prerequisites, or readiness skills, are in place, then teach what addition means.