Yes. Most importantly, math in the early years should be play. My publisher has a lovely book titled Moebius Noodles that might give you more insight.
But I wouldn't recommend anything like a curriculum. You don't want it to ever be a chore. Just like we read to kids when they ask us to, and in a nightly bedtime ritual, so should our mathplay with them be determined by their interest.
You might also find some of the chapters in my book helpful. Playing with Math: Stories from Math Circle, Homeschoolers, and Passionate Teachers. (Much of this is for parents of older kids.)
There is so much to say on this, I'm trying to figure out what is useful and short enough for an answer here. (You can check out my lists of games and books at my blog.) Here's a quick list of how to help your child love math:
- Follow your child's lead.
- Be comfortable with math yourself.
- Have a good stash of mathy toys: building blocks (Keva/Kapla/Citi blocks are good), games (Blokus and Katamino are good for slightly older kids), and card games (Set and Blink are good for older kids).
- Also read fun mathy stories (The Cat in Numberland, Opposites, so many more).
- Notice math connections as you go through your day (cooking, things that come in 3s or 4s or 5s, ...).