Simple Board Games in ReactJS

To ease into learning ReactJS, I took a shot at implementing a simple tic-tac-toe game with React. This is covered in the official Facebook React tutorial, but I haven't actually looked at how they did this yet. Instead, I wanted to see how far I could get on my own, and then fallback to the tutorial if I needed help. I heard that there are many different ways that React components can be organized and structured in a React project, so I wanted to see how my results compared to what the official tutorial recommends.