(This is Jon's observation that I'm 'stealing' today.)
Some many times when my husband, Jon, is working, in the yard, in the garden, or making breakfast, our youngest shows up and asks to help. That in itself is not so remarkable. But occasionally, Rachel will hang around, watch what he's doing and then wordlessly join in. She watches her daddy long enough to see what he's doing- the task, the goal, the method, and she copies that.
This is the way God wants us to work with Him. He left off the rules and regulations for a grace-based life of walking by faith- We watch our Father, see where He's working and what His purposes are, and we copy that, laboring beside Him.
However, I think most times we work more like our older kids. For them, the job either has to be on their list or we have to ask them. They work independently, and usually it's with the expectation of payment. Sometimes we have to "encourage" them to complete their tasks, or reinstruct them on our standards.
Jesus talked about the faith of children and in context He meant that saving faith, but we need that child-like faith for day-to-day living, too. I need a healthy dose of unashamed dependence and delighted intimacy my littlest one has. I also need that awareness and desire to work with my Daddy.