Children infer causal structure from statistical information, through their own actions on the world and through observations of the actions of others.
The fact that this article mentions that children infer statistical information from themselves and others implies meaning to our lives. This is a way we can record and relate to ourselves and others, allowing us to be the unique humans species that we are. Clearly there is observation of how someone else is playing and/or in what way they decide to play. This resonated with me because this is the reason I am a teacher. I noticed from a very young age that others learned different just by observing them while I was learning myself. I am able to apply this to my teaching practice now and benefit greatly from that ability.
They also include studies of the variability and progressive character of intuitive theory change, particularly theory of mind.
This intrigues me to do more research on the theory of mind and I would like more clarification on this theory. It reminds me of a book I read while acquiring my bachelors degree called "Play" by Stuart Brown, M.D. The reason I read this book is because at the time I was also getting a divorce and my children were developing some behaviors. In this book it says "learning how to stay playful in an age-appropriate way while taking on ones responsibilities is one of the most important tasks." This is what I related to first when I think of theory of mind. What we can do at certain times within our minds while we carry the loads we do, yet still remembering to be playful and enjoy life a we go.