There are some great nursery rhymes that all kids should learn, and they have lessons that will be easy to understand once you have taught your kids the whole of each song.
Humpty Dumpty
Humpty Dumpty is a good place to start because the children can learn from this nursery rhyme that you cannot put anyone on a pedestal. It is the kind of rhyme that keeps coming back throughout life because the children see that people who are put up on major pedestals often just fall right back down to earth. That is not safe for them as people, and they see how messy it was in the rhyme.
Wee Willie Winkie
A lot of people think that the lesson from this rhyme is that the boy was running from his responsibilities. This could be political satire for the king of England, and that would let you know that we often have to expect people to do their best work even if they do not want to. It would be simpler for you to have your children sing this rhyme every day to remind them to listen, and you will find out that they get an idea of what you mean every time you mention the rhyme.
Mary Had A Little Lamb
Lessons from this rhyme are very important for you as a person because you want your children to see that they cannot always do what they want to. They might have a good idea, but they cannot always go through with it just because they can. Mary brought her lamb to school, and it was not a good day for anyone. That is a very important thing for children to study, and they can be reminded of this lesson any time you are out in public or they keep begging you to do something special.
Jack and Jill
Jack and Jill is all about how children can be hurt if they just follow the crowd and do whatever it is that they want. These children usually get into trouble because they get wrapped up in something that another kid is doing, and you want them to feel like they have been shown that they should not be doing that. These children also have to be reminded often because there are a lot of layers to this rhyme that will relate to other parts of their life.
As I Was Going To St. Ives
The rhyme that you have found here will help children with math because they can figure out how many people and things were there in this rhyme. It is about a man with seven wives and seven sacks and kittens and mice. This can be fun to sing, and they will learn a little bit of math at the same time!